Multiple choice questions

Multiple choice questions

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

Answers: