Mathematics : Algebra: Multiple choice questions with answers / choose the correct answer with answers - Maths Book back 1 mark questions and answers with solution for Exercise Problems

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* − 3*x* = −6 , − 7*y* + 7*z* = 7 , 3*z* = 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 *x*2 - 2*x* - 24 and *x*2 - *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 *x*4 + 64 a perfect square

(1) 4*x*2

(2) 16*x*2

(3) 8*x*2

(4) -8*x*2

9. The solution of 2*x* − 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 4*x* 4 − 24*x* 3 + 76*x* 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 *q*2*x*2 + *p*2*x* + *r*2 = 0 are the squares of the roots of the equation *qx*2 + *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 *x*2 + 4*x* + 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

Tags : Algebra | Mathematics , 10th Mathematics : UNIT 3 : Algebra

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10th Mathematics : UNIT 3 : Algebra : Multiple choice questions | Algebra | Mathematics

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