11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil இயற்கை வேளாண்மை,சுற்றுச்சூழல் -செய்யுள் - மனோன்மணீயம் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil என்னுயிர் என்பேன் -துணைப்பாடம் - இசைத்தமிழர் இருவர் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - துணைப்பாடம் - வாடிவாசல் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set A
Published on: 13/03/2019
+1 Public Exam March 2019 Important One Mark Questions
Download Tamil Nadu 11th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test
1.
If y = x and z = \(\frac{1}{x}\) then \(\frac{dy}{dz}=\)________.
x2
1
-x2
\(-\frac{1}{x^2}\)
2.
For what value of x, f(x) = \(\frac{x+2}{x-1}\) is not continuous?
-2
1
2
-1
3.
\(\lim _{ x\rightarrow \infty }{ \frac { \tan { \theta } }{ \theta } } =\)________.
1
\(\infty\)
\(-\infty\)
\(\theta\)
4.
If f(x) = x2 and g(x) = 2x + 1 then (fg)(0) is ________.
0
2
1
4
5.
The range of f(x) = |x|, for all \(x\in R\), is ________.
(0, \(\infty \))
(0, \(\infty \))
(-\(\infty \), \(\infty \))
(1, \(\infty \))
6.
f(x) = - 5 , for all \(x\in R\), is a ________.
an identity function
modulus function
exponential function
constant function
7.
Which of the following function is neither even nor odd?
f(x) = x3 + 5
f(x) = x5
f(x) = x10
f(x) = x2
8.
If f(x) = 2x and get g(x) = \(\frac{1}{2^x}\) then (fg)(x) is ________.
1
0
4x
\(\frac{1}{4^x}\)
9.
If f(x) = \(\frac{1-x}{1+x}\) then f(-x) is equal to _______.
-f(x)
\(\frac{1}{f(x)}\)
\(-\frac{1}{f(x)}\)
f(x)
10.
If \(f\left( x \right) =\begin{cases} { x }^{ 2 }-4x\quad ifx\ge 2 \\ x+2\quad ifx<2 \end{cases}\) then f(0) is _______.
2
5
-1
0
11.
\(\left(\frac{\cos x}{cosec x}\right)-\sqrt{1-\sin^2x}\sqrt{1-\cos^2x}\) is _______.
cos2x-sin2x
sin2x-cos2x
1
0
12.
The value of \(\frac{1}{cosec(-45^o)}\) is _______.
\(\frac{-1}{\sqrt2}\)
\(\frac{1}{\sqrt2}\)
\(\sqrt2\)
\(-\sqrt2\)
13.
\(\sin\left(\cos^{-1}\frac{3}{5}\right)\) is _____.
\(\frac{3}{5}\)
\(\frac{5}{3}\)
\(\frac{4}{5}\)
\(\frac{5}{4}\)
14.
If \(\tan A=\frac{1}{2}\) and \(\tan B=\frac{1}{3}\) then tan(2A + B) is equal to ______.
1
2
3
4
15.
The value of \(\frac{2\tan30^o}{1+tan^230}\) is _____.
\(\frac12\)
\(\frac{1}{\sqrt3}\)
\(\frac{\sqrt{3}}{2}\)
\(\sqrt3\)
16.
The value of cos245o - sin245o is_______.
\(\frac{\sqrt3}{2}\)
\(\frac{1}{2}\)
0
\(\frac{1}{\sqrt{2}}\)
17.
The value of \(\sin 28^o\cos 17^o+\cos 28^o\sin 17^o\) is _______.
\(\frac{1}{\sqrt2}\)
1
\(\frac{-1}{\sqrt2}\)
0
18.
The value of \(\cos(-480^o)\) is ________.
\(\sqrt3\)
\(-\frac{\sqrt3}{2}\)
\(\frac{1}{2}\)
\(\frac{-1}{2}\)
19.
The radian measure of 37o30' is ______.
\(\frac{5\pi}{24}\)
\(\frac{3\pi}{24}\)
\(\frac{7\pi}{24}\)
\(\frac{9\pi}{24}\)
20.
The degree measure of \(\frac{\pi}{8}\) is ______.
20o60'
22o30'
20o60'
20o30'
21.
The double ordinate passing through the focus is _______.
focal chord
latus rectum
directrix
axis
22.
If the circle touches x axis, y axis and the line x = 6 then the length of the diameter of the circle is _______.
6
3
12
4
23.
The equation of the circle with centre (3,-4) and touches the x - axis is _______.
(x - 3)2 +(y - 4)2 = 4
(x - 3)2 +(y + 4)2 = 16
(x-3)2 + (y- 4)2 = 16
x2+y2 = 16
24.
If the perimeter of the circle is 8π units and centre is (2, 2) then the equation of the circle is _______.
(x - 2)2 + (y - 2)2 = 4
(x - 2)2 + (y - 2)2 = 16
(x - 4)2 + (y - 4)2 = 2
x2 + y2 =4
25.
In the equation of the circle x2 + y2 = 16 then y intercept is (are) _______.
4
16
±4
±16
26.
27.
The centre of the circle x2 + y - 2x + 2y - 9 = 0 is _______.
(1,1)
(-1,-1)
(-1,1)
(1, -1)
28.
If kx2 + 3xy - 2y2 = 0 represent a pair of lines which are perpendicular then k is equal to _______.
1/2
-1/2
2
-2
29.
The x-intercept of the straight line 3x + 2y - 1 = 0 is _______.
3
2
1/3
1/2
30.
31.
32.
The value of (5C0 + 5C1) + (5C1 + 5C2) + (5C2 + 5C3) + (5C3 + 5C4) + (5C4 + 5C5 ) is ________.
26-2
25-1
28
27
33.
There are 10 true or false questions in an examination. Then these questions can be answered in ______.
240 ways
120 ways
1024 ways
100 ways
34.
The last term in the expansion of (3 +\(\sqrt{2}\) )8 is ________
81
16
8\(\sqrt{2}\)
27\(\sqrt{3}\)
35.
For all n > 0, nC1 + nC2 + nC3 + ... +nCn is equal to _______
2n
2n- 1
n2
n2 - 1
36.
If n is a positive integer, then the number of terms in the expansion (x + a)n is _______.
n
n + 1
n-1
2n
37.
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is ________.
2
6
20
24
38.
If nPr = 720 (nCr), then r is equal to ______.
4
5
6
7
39.
The number of ways selecting 4 players out of 5 is _______.
4!
20
25
5
40.
The value of n, when nP2 = 20 is _______.
3
6
5
4
41.
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 ________.
a11 A31 + a12 A32 + a13 A33
a11 A11 + a12 A21 + a13 A31
a21 A11 + a22 A12 + a23 A13
a11 A11 + a21 A21 + a31 A31
42.
If A and B are non-singular matrix then, which of the following is incorrect?
A2 = I implies A-1 = A
I-1 = I
If AX = B, then X = B-1 A
If A is square matrix of order 3 then |adj A|= |A|2
43.
The inventor of input-output analysis is ________.
Sir Francis Galton
Fisher
Prof. Wassily W. Leontief
Arthur Cayley
44.
The number of Hawkins-Simon conditions for the viability of an input - output analysis is ________.
1
3
4
2
45.
If A = \(\begin{pmatrix} a & b \\ c & d \end{pmatrix}\)such that ad - bc \(\neq\) 0 then A-1 is ________.
\({{1}\over{ad-bc}}\begin{pmatrix} d & b \\-c & a\end{pmatrix}\)
\({{1}\over{ad-bc}}\begin{pmatrix} d & b \\c & a\end{pmatrix}\)
\({{1}\over{ad-bc}}\begin{pmatrix} d & -b \\-c & a\end{pmatrix}\)
\({{1}\over{ad-bc}}\begin{pmatrix} d & -b \\c & a\end{pmatrix}\)
46.
adj (AB) is equal to ________.
adj A adj B
adj AT adj BT
adj B adj A
adj BT adj AT
47.
If A is square matrix of order 3, then |kA| is________.
k|A|
-k|A|
k3|A|
-k3|A|
48.
The value of the determinant \({\begin{vmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & c \end{vmatrix}}^{2}\)is ________.
abc
0
a2b2c2
-abc
49.
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 ________.
\(\triangle\)
-\(\triangle\)
3\(\triangle\)
-3\(\triangle\)
50.
The value of x if \(\begin{vmatrix} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{vmatrix}=0\) is_________.
0, - 1
0, 1
- 1, 1
- 1, - 1
1.
\(\frac{d y}{d x}=1, \frac{d z}{d x}=\frac{-1}{x^2} \quad \frac{d y}{d z}=-x^2\)
2.
(b)
1
3.
(a)
1
4.
(fg) (x) = 2x3 + x2 = fg (0) = 0
5.
(b)
(0, \(\infty \))
6.
(d)
constant function
7.
f(-x) = -x3 + 5 ≠ f(x)
8.
\((f g) x=2^x \frac{1}{2^x}=1\)
9.
\(f(x) = \)\(\frac{1-x}{1+x} = \frac {1} {f(x)}\)
10.
f(0) = 0 + 2 = 2
11.
cos x sin x - cos x sin x = 0
12.
\(\frac{-1}{\operatorname{cosec} 45^{\circ}}=\frac{-1}{\sqrt{2}}\)
13.
\(\sin \left(\cos ^{-1} \frac{3}{5}\right)=\sin \left(\sin ^{-1} \frac{4}{5}\right)=4 / 5\)
14.
\(\tan 2 A= \frac{2 \tan A}{1-\tan ^2 A}=\frac{2(1 / 2)}{1-1 / 4}=\frac{1}{3 / 4}=4 / 3 \)
\(\tan (2 A+B)= \frac{\tan 2 A+\tan B}{1-\tan 2 A \cdot \tan B}=\frac{\frac{4}{3}+\frac{1}{3}}{1-4 / 9} \)
\(=\frac{5 / 3}{5 / 9}=3 \)
15.
\(\frac{2 \tan 30^{\circ}}{1+\tan ^2 30^{\circ}} =\sin 2\left(30^{\circ}\right)=\sin 60^{\circ}=\frac{\sqrt{3}}{2} \)
16.
cos245o - sin245o = cos 2(45o)
= cos 90o = 0
17.
\(\sin (28+17)=\sin 45^{\circ}=\frac{1}{\sqrt{2}}\)
18.
\(\cos \left(-480^{\circ}\right) =\cos 480^{\circ}=\cos \left(360^{\circ}+120^{\circ}\right) \)
\(=\cos 120^{\circ}=\cos \left(180^{\circ}-60^{\circ}\right) \)
\(=-\cos 60^{\circ}=-1 / 2 \)
19.
\(37^{\circ} 30^{\prime}=37 \frac{1}{2}^{\circ}=\frac{75}{2} \times \frac{\pi}{180}=\frac{5 \pi}{24}\)
20.
\(\frac{\pi}{8}=\frac{180^{\circ}}{8}=22 \frac{1}{2}^{\circ}=22^{\circ} 30^{\prime}\)
21.
(b)
latus rectum
22.
23.
(b)
(x - 3)2 +(y + 4)2 = 16
24.
\(2 n r=8 \pi\)
r = 4
25.
On y axis x = 0
\(y^2=16\)
26.
(a)
27.
C(- g, -f)
28.
\(a+b=0 \Rightarrow k-2=0\)
29.
On x axis y = 0
\(3 x=1 \Rightarrow x=\frac{1}{3}\)
30.
(c)
31.
(b)
32.
Since sum of all binomial coefficients is 2n
5C0 + 5C1 + 5C2 + 5C3 + 5C4 + 5C5 + (5C1 + 5C2 + 5C3 + 5C4)
= 25 + (25 - (5C0 + 5C5)
= 32 + 32 - (1 + 1)
= 64 - 2 = 26 - 2
33.
210 = 1024 (2.x 2... 10 terms)
34.
\((\sqrt{2})^8=2^4=16\)
35.
nC0 + nC1 + nC2 + nC3 + ... +nCn = 2n and nC0 = 1
36.
(b)
n + 1
37.
Since if n = 1 then (1) (2) (3) (4) = 24 is divisible by = 24
38.
\(n P_r =720(\mathrm{nCr}) \)
\(\frac{n !}{(n-r) !} =720\left(\frac{n !}{r !(n-r) !}\right) \)
\(r ! =720 \)
\(r ! =6 ! \)
r = 6
39.
No. of ways = 5C4 = 5C1 = 5
40.
nP2 = 20
n(n - 1) = 5 x 4
n = 5
41.
(Corresponding co-factor)
42.
(Since \(\mathrm{X}=\mathrm{A}^{-1} \mathrm{~B}\) is the correct answer)
43.
(c)
Prof. Wassily W. Leontief
44.
(d)
2
45.
\(|A|=\frac{1}{a d-b c} ; \quad A^{-1}=\frac{1}{a d-b c}\left(\begin{array}{cc} d & -b \\ -c & a \end{array}\right)\)
46.
(c)
adj B adj A
47.
(Since \(|k A|=k^n|A|,\) n is the order of matrix A
48.
(c)
a2b2c2
49.
(b)
-\(\triangle\)
50.
\(\left|\begin{array}{lll} 0 & 1 & 0 \\ x & 2 & x \\ 1 & 3 & x \end{array}\right|=0 \Rightarrow-1\left[x^2-x\right]=0\)
\(\Rightarrow x(x-1)=0 \Rightarrow x=0,1\)
11th Standard Syllabus & Materials
11th Standard
TN 11th Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil பீடு பெற நில் - உரைநடை - மலை இடப்பெயர்கள் : ஓர் ஆய்வு Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மாமழை போற்றுதும் - துணைப்பாடம் - யானை டாக்டர் Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
TN 11th Tamil மாமழை போற்றுதும் - செய்யுள் - ஐங்குறுநூறு Important Questions And Answers Study Material - QB365 Set A
Tamilnadu Stateboard 11th Standard Subjects
Maths
Commerce
Economics
Biology
Business Maths and Statistics
Accountancy
Computer Science
Physics
Chemistry
Maths
Biology
Economics
Physics
Chemistry
History
Business Maths and Statistics
Computer Science
Accountancy
Computer Applications
History
Computer Technology
Commerce
Computer Applications
Computer Technology
Tamil
English
French
Tamilnadu Stateboard Standards
