### 11th Standard Business Maths Study material & Free Online Practice Tests - View and download Sample Question Papers with Solutions for Class 11 Session 2019 - 2020 TN Stateboard

#### 11th Business Maths Differential Calculus Model Question Paper - by Banumathi - Nilgiris Aug 20, 2019 - View & Download

• 1)

The graph of y = 2x2 is passing through

• 2)

Which one of the following functions has the property f (x) = $f\left( \frac { 1 }{ x } \right)$

• 3)

The range of f(x) = |x|, for all $x\epsilon R$, is

• 4)

A function f(x) is continuous at x = a if $\lim _{ x\rightarrow a }{ f\left( x \right) }$ is equal to

• 5)

If y = log x then y2 =

#### 11th Standard Business Maths First Mid Term Model Question Paper - by Banumathi - Nilgiris Aug 01, 2019 - View & Download

• 1)

The value of x if $\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0$ is

• 2)

If A is a square matrix of order 3, then |kA| is

• 3)

If $\triangle=\begin{vmatrix} {a}_{11} & {a}_{12} & {a}_{13} \\ {a}_{21} & {a}_{22} & {a}_{23} \\ {a}_{31} & {a}_{32} & {a}_{33} \end{vmatrix}$ and Aij is cofactor of aij, then value of $\triangle$ is given by

• 4)

The number of permutation of n different things taken r at a time, when the repetition is allowed is

• 5)

The distance between directrix and focus of a parabola y2 = 4ax is

#### 11th Standard Business Maths Chapter 4 Trigonometry Sample Question Paper - by Banumathi - Nilgiris Jul 31, 2019 - View & Download

• 1)

The degree measure of $\frac{\pi}{8}$ is

• 2)

If $\tan\theta=\frac{1}{\sqrt5}$ and $\theta$ lies in the first quadrant, then $\cos\theta$ is

• 3)

The value of sin 15o cos 15o is

• 4)

The value of sec A sin(270o+A) is

• 5)

If sin A+ cos A=1, then sin 2A is equal to

#### 11th Standard Business Maths Chapter 3 Analytical Geometry Important Question Paper - by Banumathi - Nilgiris Jul 26, 2019 - View & Download

• 1)

If m1 and m2 are the slopes of the pair of lines given by ax2+ 2hxy + by2 = 0, then the value of m1 + m2 is

• 2)

The angle between the pair of straight lines x2 - 7xy + 4y2 = 0

• 3)

If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is

• 4)

The distance between directrix and focus of a parabola y2 = 4ax is

• 5)

The equation of directrix of the parabola y2 = - x is

#### 11th Standard Business Maths Unit 2 Algebra Important Question Paper - by Banumathi - Nilgiris Jul 24, 2019 - View & Download

• 1)

If nC3 = nC2, then the value of nC4 is

• 2)

The value of n, when nP2 = 20 is

• 3)

The number of ways selecting 4 players out of 5 is

• 4)

If nPr = 720 (nCr), then r is equal to

• 5)

The possible out comes when a coin is tossed five times

#### 11th Business Maths - Unit 1 Model Question Paper - by Banumathi - Nilgiris Jul 18, 2019 - View & Download

• 1)

The value of x if $\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0$ is

• 2)

If $\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}$ then $\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}$ is

• 3)

The value of the determinant ${\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}$is

• 4)

Which of the following matrix has no inverse

• 5)

The Inverse of matrix of$\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}$ is

• 1)

Prove that $\left| \begin{matrix} x & sin\theta & cos\theta \\ -sin\theta & -x & 1 \\ cos\theta & 1 & x \end{matrix} \right|$ is independent of $\theta$

• 2)

Using matrix method, solve x+2y+z=7, x+3z = 11 and 2x-3y =1.

• 3)

if A=$\left[ \begin{matrix} cos\ \alpha & sin\ \alpha \\ -sin\ \alpha & \ cos\ \alpha \ \end{matrix} \right]$ is such that AT = A-1, find $\alpha$

• 4)

Verify that A(adj A) = (adj A) A = IAI·I for the matrix A = $\begin{bmatrix}2 & 3 \\-1 & 4\end{bmatrix}$

• 5)

Solve: 2x+ 5y = 1 and 3x + 2y = 7 using matrix method.

#### 11th Standard Business Maths Public Exam March 2019 Important One Mark Test - by Basky Mar 15, 2019 - View & Download

• 1)

The value of $\begin{vmatrix} 2x+y & x & y \\ 2y+z & y & z \\ 2z+x & z & x \end{vmatrix}$ is

• 2)

If $\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}$ then $\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}$ is

• 3)

The value of the determinant ${\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}$is

• 4)

• 5)

The inverse matrix of $\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}$ is

#### Plus One Business Maths Public Exam March 2019 One Mark Question Paper - by Basky Mar 12, 2019 - View & Download

• 1)

The co-factor of -7 in the determinant $\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}$ is

• 2)

If $\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}$ then $\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}$ is

• 3)

• 4)

If A and B are non-singular matrices then, which of the following is incorrect?

• 5)

If A is a square matrix of order 3 and IAI = 3 then | adj A| is equal to

#### 11th Standard Business Maths Public Exam March 2019 Important One Mark Questions - by Basky Mar 12, 2019 - View & Download

• 1)

The value of x if $\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0$ is

• 2)

If $\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}$ then $\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}$ is

• 3)

The value of the determinant ${\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}$is

• 4)

If A is a square matrix of order 3, then |kA| is

• 5)

• 1)

The technology matrix of an economic system of two industries is$\begin{bmatrix} 0.50 & 0.30 \\ 0.41 & 0.33 \end{bmatrix}$. Test whether the system is viable as per Hawkins Simon conditions.

• 2)

Find the minors and cofactors of all the elements of the following determinants.
$\begin{bmatrix} 1&-3&2\\4&-1&2\\3&5&2 \end{bmatrix}$

• 3)

Find |AB| if $A=\begin{bmatrix} 3&-1\\2&1 \end{bmatrix}and \begin{bmatrix} 3&0\\1&-2 \end{bmatrix}$

• 4)

If A $=\begin{bmatrix} 1 \\ -4\\3 \end{bmatrix}$ and  B = [-1 2 1], verify that (AB)T = BT. AT.

• 5)

Using the property of determinant, evaluate $\begin{vmatrix} 6 &5 &12 \\ 2 & 4 &4 \\2 & 1 & 4 \end{vmatrix}.$

#### 11th Standard Business Maths Public Exam March 2019 Important 5 Marks Questions - by Basky Mar 12, 2019 - View & Download

• 1)

Evaluate:$\begin{vmatrix} 1&a&a^2-bc\\1&b&b^2-ca\\1&c&c^2-ab \end{vmatrix}$

• 2)

If A = $\begin{bmatrix}1 & 1 & 1 \\ 3 & 4 & 7\\1 & -1 & 1 \end{bmatrix}$ verify that A ( adj A ) = ( adj A ) A = |A| I3.

• 3)

Solve by using matrix inversion method: x - y + z = 2; 2x- y = 0 , 2y - z = 1.

• 4)

Without expanding show that $\Delta =\left| \begin{matrix} { cosec }^{ 2 }\theta & { cot }^{ 2 }\theta & 1 \\ { cot }^{ 2 }\theta & { cosec }^{ 2 }\theta & -1 \\ 42 & 40 & 2 \end{matrix} \right| =0$

• 5)

If $A=\left[ \begin{matrix} 1 & tan\quad x \\ -tan\quad x & \quad \quad \quad 1 \end{matrix} \right]$, then show that ATA-1=$\left[ \begin{matrix} cos\quad 2x & -sin2x \\ sin\quad 2x & cos2x \end{matrix} \right] .$

• 1)

The value of x if $\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0$ is

• 2)

If any three-rows or columns of a determinant are identical, then the value of the determinant is

• 3)

The value of n, when nP2 = 20 is

• 4)

13 guests have participated in a dinner. The number of handshakes happened in the dinner is

• 5)

The eccentricity of the parabola is

#### 11th Standard Business Maths Public Exam March 2019 Model Test Question Paper - by Basky Mar 04, 2019 - View & Download

• 1)

If A and B are non-singular matrices then, which of the following is incorrect?

• 2)

If any three-rows or columns of a determinant are identical, then the value of the determinant is

• 3)

The term containing x3 in the expansion of (x - 2y)7 is

• 4)

If $\frac { kx }{ (x+4)(2x-1) } =\frac { 4 }{ x+4 } +\frac { 1 }{ 2x-1 }$ then k is equal to

• 5)

The focus of the parabola x2 = 16y is

• 1)

The value of $\begin{vmatrix} 2x+y & x & y \\ 2y+z & y & z \\ 2z+x & z & x \end{vmatrix}$ is

• 2)

The inverse matrix of $\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}$ is

• 3)

The value of $\begin{vmatrix} 5 & 5 & 5 \\ 4x & 4y & 4z \\ -3x & -3y & -3z \end{vmatrix}$is

• 4)

If A is 3 x 3 matrix and |A|= 4, then |A-1| is equal to

• 5)

If any three-rows or columns of a determinant are identical, then the value of the determinant is

• 1)

The number of Hawkins-Simon conditions for the viability of an input - output analysis is

• 2)

The inventor of input-output analysis is

• 3)

The possible out comes when a coin is tossed five times

• 4)

Number of words with or without meaning that can be formed using letters of the word "EQUATION" , with no repetition of letters is

• 5)

The double ordinate passing through the focus is

• 1)

The number of Hawkins-Simon conditions for the viability of an input - output analysis is

• 2)

Which of the following matrix has no inverse

• 3)

If nC3 = nC2, then the value of nC4 is

• 4)

Number of words with or without meaning that can be formed using letters of the word "EQUATION" , with no repetition of letters is

• 5)

The slope of the line 7x + 5y - 8 = 0 is

• 1)

• 2)

If A is an invertible matrix of order 2, then det (A-1) be equal to

• 3)

The value of n, when nP2 = 20 is

• 4)

The last term in the expansion of (3 +$\sqrt{2}$ )8 is

• 5)

If kx2 + 3xy - 2y2 = 0 represent a pair of lines which are perpendicular then k is equal to

#### 11th Stateboard Maths Analytical Geometry Important Questions - by Basky Feb 15, 2019 - View & Download

• 1)

The angle between the pair of straight lines x2 - 7xy + 4y2 = 0

• 2)

The slope of the line 7x + 5y - 8 = 0 is

• 3)

If kx2 + 3xy - 2y2 = 0 represent a pair of lines which are perpendicular then k is equal to

• 4)

The length of the tangent from (4,5) to the  circle x2 +y2 = 16 is

• 5)

The focus of the parabola x2 = 16y is

• 1)

The inverse matrix of $\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}$ is

• 2)

Which of the following matrix has no inverse

• 3)

The term containing x3 in the expansion of (x - 2y)7 is

• 4)

The number of permutation of n different things taken r at a time, when the repetition is allowed is

• 5)

If kx2 + 3xy - 2y2 = 0 represent a pair of lines which are perpendicular then k is equal to

• 1)

If A $=\begin{pmatrix} -1 & 2 \\ 1 & -4 \end{pmatrix}$ then A (adj A) is

• 2)

The value of $\begin{vmatrix} x & x^2 & -yz & 1 \\ y & y^2 & -zx & 1 \\ z & z^2 & -xy &1 \end{vmatrix}$ is

• 3)

The number of ways selecting 4 players out of 5 is

• 4)

The value of (5Co + 5C1) + (5C1 + 5C2) + (5C2 + 5C3) + (5C3 + 5C4) + (5C4 + 5C5 ) is

• 5)

(1, - 2) is the centre of the circle x2 + y2 + ax + by - 4 = 0 , then its radius

• 1)

Correlation co-efficient lies between

• 2)

The variable whose value is influenced or is to be predicted is called

• 3)

When one regression coefficient is negative, the other would be

• 4)

The lines of regression intersect at the point

• 5)

Cov(x,y)=–16.5, ${ \sigma }_{ x }^{ 2 }=2.89,{ \sigma }_{ y }^{ 2 }$=100. Find correlation coefficient

• 1)

The critical path of the following network is

• 2)

In a network while numbering the events which one of the following statement is false?

• 3)

In the given graph the coordinates of M1 are

• 4)

The maximum value of the objective function Z = 3x + 5y subject to the constraints x > 0 , y > 0 and 2x + 5y ≤10 is

• 5)

The objective of network analysis is to

• 1)

Suppose the inter-industry flow of the product of two industries are given as under.

 Production sector Consumption sector Domestic demand Total output X Y X 30 40 50 120 Y 20 10 30 60

Determine the technology matrix and test Hawkin's -Simon conditions for the viability of the system. If the domestic demand changes to 80 and 40 units respectively, what should be the gross output of each sector in order to meet the new demands.

• 2)

An amount of Rs. 5000 is put into three investment at the rate of interest of 6%, 7% and 8% per annum respectively. The total annual income is Rs. 358. If the combined income from the first two investment is Rs. 70 more than the income from the third, find the amount of each investment by matrix method.

• 3)

Resolve into partial fractions for the following:
$\frac { x-2 }{ (x+2)(x-1)^{ 2 } }$

• 4)

Using binomial theorem, find the value of ${ \left( \sqrt { 2 } +1 \right) }^{ 5 }+{ \left( \sqrt { 2 } -1 \right) }^{ 5 }$

• 5)

Show by the principle of mathematical induction that 23n–1 is a divisible by 7, for all n∈N.

• 1)

If $\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}$ then $\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}$ is

• 2)

If any three-rows or columns of a determinant are identical, then the value of the determinant is

• 3)

The number of ways to arrange the letters of the word "CHEESE" is

• 4)

The number of permutation of n different things taken r at a time, when the repetition is allowed is

• 5)

The x - intercept of the straight line 3x + 2y - 1 = 0 is

#### 12th Standard Business Maths Important Question Paper - by S.B.O.A. Matric and Hr Sec School Oct 01, 2018 - View & Download

• 1)

If $\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}$ then $\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}$ is

• 2)

The inverse matrix of $\begin{pmatrix} \frac { 1 }{ 5 } & \frac { 5 }{ 25 } \\ \frac { 2 }{ 5 } & \frac { 1 }{ 2 } \end{pmatrix}$ is

• 3)

The value of $\begin{vmatrix} 5 & 5 & 5 \\ 4x & 4y & 4z \\ -3x & -3y & -3z \end{vmatrix}$is

• 4)

If any three-rows or columns of a determinant are identical, then the value of the determinant is

• 5)

The number of ways selecting 4 players out of 5 is

• 1)

The value of x if $\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0$ is

• 2)

The value of the determinant ${\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}$is

• 3)

• 4)

The number of Hawkins-Simon conditions for the viability of an input - output analysis is

• 5)

The Inverse of matrix of$\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}$ is

• 1)

The co-factor of -7 in the determinant $\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}$ is

• 2)

If $\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}$ then $\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}$ is

• 3)

The value of the determinant ${\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}$is

• 4)

If $\triangle=\begin{vmatrix} {a}_{11} & {a}_{12} & {a}_{13} \\ {a}_{21} & {a}_{22} & {a}_{23} \\ {a}_{31} & {a}_{32} & {a}_{33} \end{vmatrix}$ and Aij is cofactor of aij, then value of $\triangle$ is given by

• 5)

If nC3 = nC2, then the value of nC4 is

• 1)

If m1 and m2 are the slopes of the pair of lines given by ax2+ 2hxy + by2 = 0, then the value of m1 + m2 is

• 2)

The angle between the pair of straight lines x2 - 7xy + 4y2 = 0

• 3)

If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is

• 4)

The locus of the point P which moves such that P is at equidistance from their coordinate axes is

• 5)

The locus of the point P which moves such that P is always at equidistance from the line x + 2y+ 7 = 0 is

• 1)

The value of n, when nP2 = 20 is

• 2)

The number of ways selecting 4 players out of 5 is

• 3)

The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n $\in$ N is

• 4)

If n is a positive integer, then the number of terms in the expansion (x + a)n is

• 5)

For all n > 0, nC1 + nC2 + nC3 + ... +nCn is equal to

• 1)

If $\tan\theta=\frac{1}{\sqrt5}$ and $\theta$ lies in the first quadrant, then $\cos\theta$ is

• 2)

The value of 1-2sin245o is

• 3)

The value 4cos340o-3cos40o is

• 4)

The value of $\frac{2\tan30^o}{1+tan^230}$ is

• 5)

If $\sin A=\frac{1}{2}$ then $4\cos^3A-3\cos A$ is

• 1)

The angle between the pair of straight lines x2 - 7xy + 4y2 = 0

• 2)

If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is

• 3)

The x - intercept of the straight line 3x + 2y - 1 = 0 is

• 4)

If the centre of the circle is (-a, -b) and radius $\sqrt{a^2-b^2}$then the equation of circle is

• 5)

Combined equation of co-ordinate axes is

• 1)

The value of x if $\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0$ is

• 2)

The value of the determinant ${\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}$is

• 3)

The number of Hawkins-Simon conditions for the viability of an input - output analysis is

• 4)

Which of the following matrix has no inverse

• 5)

The Inverse of matrix of$\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}$ is

• 1)

The value of x if $\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0$ is

• 2)

• 3)

If A = $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$such that ad - bc $\neq$ 0 then A-1 is

• 4)

The Inverse of matrix of$\begin{pmatrix} 3 & 1 \\ 5 & 2\end{pmatrix}$ is

• 5)

If A and B are non-singular matrices then, which of the following is incorrect?