1. A system of three linear equations in three variables is inconsistent if their planes
(1) intersect only at a point
(2) intersect in a line
(3) coincides with each other
(4) do not intersect
2. The solution of the system x + y − 3x = −6 , − 7y + 7z = 7 , 3z = 9 is
(1) x = 1, y = 2, z = 3
(2) x = −1, y = 2, z = 3
(3) x = − 1, y = −2, z = 3
(4) x = 1, y = 2, z = 3
3. If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is
(1) 3
(2) 5
(3) 6
(4) 8
4. is
Ans: (1)
5. is not equal to
Ans: (2)
6. gives
Ans: (3)
7. The square root of is equal to
Ans: (4)
8. Which of the following should be added to make x4 + 64 a perfect square
(1) 4x2
(2) 16x2
(3) 8x2
(4) -8x2
9. The solution of 2x − 1 2 = 9 is equal to
(1) -1
(2) 2
(3) –1, 2
(4) None of these
10. The values of a and b if 4x 4 − 24x 3 + 76x 2 + ax +b is a perfect square are
(1) 100,120
(2) 10,12
(3) -120 ,100
(4) 12,10
11. 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 _____
(1) A.P
(2) G.P
(3) Both A.P and G.P
(4) none of these
12. Graph of a linear polynomial is a
(1) straight line
(2) circle
(3) parabola
(4) hyperbola
13. The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is
(1) 0
(2) 1
(3) 0 or 1
(4) 2
14. For the given matrix A = the order of the matrix AT is
(1) 2 ×3
(2) 3 ×2
(3) 3 ×4
(4) 4 ×3
15. If A is a 2 ×3 matrix and B is a 3 ×4 matrix, how many columns does AB have
(1) 3
(2) 4
(3) 2
(4) 5
16. If number of columns and rows are not equal in a matrix then it is said to be a
(1) diagonal matrix
(2) rectangular matrix
(3) square matrix
(4) identity matrix
17. Transpose of a column matrix is
(1) unit matrix
(2) diagonal matrix
(3) column matrix
(4) row matrix
18. Find the matrix X if 2X +
Ans: (2)
19. Which of the following can be calculated from the given matrices
, (i) A2 (ii) B2 (iii) AB (iv) BA
(1) (i) and (ii) only
(2) (ii) and (iii) only
(3) (ii) and (iv) only
(4) all of these
20. If . Which of the following statements are correct?
(1) (i) and (ii) only
(2) (ii) and (iii) only
(3) (iii) and (iv) only
(4) all of these
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