CBSE Class 10 Mathematics Quadratic Equation Worksheet Set I

CBSE Class 10 Quadratic Equation (2)

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1. If 21is a root of the equation 0452=−+kxx, then the value of k is

(a) 2 (b) −2 (c) 41 (d) 21

2. The non-zero root of 3x − 5x2 = 0 is

(a) 53 (b) 35 (c) 95 (d) 59

3. Which constant should be added and subtracted to solve the quadratic equation 05342=−−xx by the method of completing the square ?

(a) 169 (b) 163 (c) 43 (d) 43

4. The product of two successive positive integral multiples of 5 is 300. Then the numbers are

(a) 25, 30 (b) 15, 20 (c) 10, 15 (d) 30, 35

5. Value of ‘k’ for which the quadratic equation 2x2 − kx + k = 0 has equal roots is

(a) 0 only (b) 4 (c) 8 only (d) 0, 8

6. If ax2 + bx + c = 0 has equal roots, then c =

(a) ab2− (b) ab2 (c) ab42− (d) ab42

7. If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q =

(a) 8 (b) −8 (c) 16 (d) −16

8. If x = 1 is a common root of the equation ax2 + ax + 3 = 0 and x2 + x + b = 0 then x = _______

(a) 3 (b) 3.5 (c) 6 (d) −3

9. The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is

(a) ab2 (b) ab42 (c) ba2 (d) ba42

10. If the sum and product of the roots of the equation kx2 + 6x + 4k = 0 are equal then k =

(a) 23− (b) 23 (c) 32 (d) 32−

11. If one root of the equation 4x2 − 2x + (α − 4) = 0 be the reciprocal of the other then α =

(a) 8 (b) −8 (c) 4 (d) −4

12. Find two positive consecutive odd integers, sum of whose squares is 290

(a) 13, 14 (b) 11, 13 (c) −12, 11 (d) 7, 8

13. If 61211=−+−xxxx the value of x are

(a) 139,134 (b) 137,135 (c) 139,137 (d) None of these

14. If α, β are the roots of x2 + px + 23 = 0 and α − β = 1 then

(a) p = ± 3 (b) p = ± 5 (c) p = ±7 (d) p = ±8

15. The sum of a number and its square is 240. The number is

(a) 4 (b) 5 (c) 6 (d) 15

16. The roots of the quadratic equation 026232=+−xx are

(a) 32,32 (b) 23,23 (c) 31,31 (d) 34

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