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Published on: 29/10/2022
QB365 provides a detailed and simple solution for every Possible Book Back Questions in Class 12 Maths Subject -Algebra , English Medium. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.
Download Tamil Nadu 10th Standard Maths 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 Maths Test1.
2.
Which of the following can be calculated from the given matrices A = \(\left( \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right) \), B = \(\left( \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right) \),
(i) A2
(ii) B2
(iii) AB
(iv) BA
(i) and (ii) only
(ii) and (iii) only
(ii) and (iv) only
all of these
3.
Find the matrix X if 2X + \(\left( \begin{matrix} 1 & 3 \\ 5 & 7 \end{matrix} \right) =\left( \begin{matrix} 5 & 7 \\ 9 & 5 \end{matrix} \right) \)
\(\left(\begin{array}{cc} -2 & -2 \\ 2 & -1 \end{array}\right)\)
\(\left(\begin{array}{cc} 2 & 2 \\ 2 & -1 \end{array}\right)\)
\(\left(\begin{array}{ll} 1 & 2 \\ 2 & 2 \end{array}\right)\)
\(\left(\begin{array}{ll} 2 & 1 \\ 2 & 2 \end{array}\right)\)
4.
5.
If number of columns and rows are not equal in a matrix then it is said to be a
diagonal matrix
rectangular matrix
square matrix
identity matrix
6.
If A is a 2 x 3 matrix and B is a 3 x 4 matrix, how many columns does AB have
3
4
2
5
7.
For the given matrix A = \(\left( \begin{matrix} 1 \\ 2 \\ 9 \end{matrix}\begin{matrix} 3 \\ 4 \\ 11 \end{matrix}\begin{matrix} 5 \\ 6 \\ 13 \end{matrix}\begin{matrix} 7 \\ 8 \\ 15 \end{matrix} \right) \) the order of the matrix AT is
2 x 3
3 x 2
3 x 4
4 x 3
8.
The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is
0
1
0 or 1
2
9.
Graph of a linear equation is a ____________
straight line
circle
parabola
hyperbola
10.
If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation qx2 + px + r = 0, then q, p, r are in __________.
A.P
G.P
Both A.P and G.P
none of these
11.
The values of a and b if 4x4 - 24x3 + 76x2 + ax + b is a perfect square are
100, 120
10, 12
-120, 100
12, 10
12.
The solution of (2x - 1)2 = 9 is equal to
-1
2
-1, 2
None of these
13.
Which of the following should be added to make x4 + 64 a perfect square
4x2
16x2
8x2
-8x2
14.
The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to
\(\frac { 16 }{ 5 } \left| \frac { { x }^{ 2 }{ z }^{ 4 } }{ { y }^{ 2 } } \right| \)
\(16\left| \frac { { y }^{ 2 } }{ { x }^{ 2 }{ z }^{ 4 } } \right| \)
\(\frac { 16 }{ 5 } \left| \frac { y }{ x{ z }^{ 2 } } \right| \)
\(\frac { 16 }{ 5 } \left| \frac { x{ z }^{ 2 } }{ y } \right| \)
15.
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives
\(\frac { { x }^{ 2 }-7x+40 }{ \left( x-5 \right) \left( x+5 \right) } \)
\(\frac { { x }^{ 2 }+7x+40 }{ \left( x-5 \right) \left( x+5 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }+10 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
16.
17.
\(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is
\(\frac {9y}{7}\)
\(\frac {9y^{2}}{(21y - 21)}\)
\(\frac {21y^2 - 42y + 21}{3y^{2}}\)
\(\frac {7(y^{2} - 2y + 1)}{y^{2}}\)
18.
19.
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is
x = 1, y = 2, z = 3
x = −1, y = 2, z = 3
x = −1, y = −2, z = 3
x = 1, y = -2, z = 3
20.
A system of three linear equations in three variables is inconsistent if their planes
intersect only at a point
intersect in a line
coincides with each other
do not intersect
21.
Graph the following quadratic equations and state their nature of solutions x2 - 9x + 20 = 0.
1.
(c)
2.
(c)
(ii) and (iv) only
3.
(b)
\(\left(\begin{array}{cc} 2 & 2 \\ 2 & -1 \end{array}\right)\)
4.
(d)
5.
(b)
rectangular matrix
6.
(b)
4
7.
(d)
4 x 3
8.
(b)
1
9.
(a)
straight line
10.
(b)
G.P
11.
(c)
-120, 100
12.
(c)
-1, 2
13.
(b)
16x2
14.
(d)
\(\frac { 16 }{ 5 } \left| \frac { x{ z }^{ 2 } }{ y } \right| \)
15.
(c)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
16.
(a)
17.
(a)
\(\frac {9y}{7}\)
18.
(b)
19.
(a)
x = 1, y = 2, z = 3
20.
(d)
do not intersect
21.
x2 - 9x + 20 = 0
| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| x2 | 16 | 9 | 4 | 1 | 0 | 1 | 4 | 9 | 16 |
| -9x | +36 | 27 | 18 | 9 | 0 | -9 | -18 | -27 | -36 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 72 | 56 | 42 | 30 | 20 | 12 | 6 | 2 | 0 |
Step 1:
Points to be plotted: (-4, 72), (-3,56), (-2,42), (-1, 30), (0, 20), (1, 12), (2, 6), (3, 2), (4, 0)
Step 2:
The point of intersection of the curve with x axis is (4, 0)
Step 3:
Since there is only one point of intersection with X axis, the quadratic equation x2 + 9x + 20 = 0 has real and equal roots.
∴ Solution {4,4}
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
