MCQs Questions for Class 10 Maths Chapter 4 Quadratic Equations

# MCQs Questions for Class 10 Maths Chapter 4 Quadratic Equations

## MCQs Questions for Class 10 Maths Chapter 4 Quadratic Equations

In this 21st century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

## MCQs Questions for Class 10 Maths Chapter 4 Quadratic Equations

1. Which of the following is not a quadratic equation?
(A) 2(x – 1)² = 4x² – 2x + 1
(B) 2x – x² = x² + 5
(C) (√2x + √3)² + x² = 3x² – 5x
(D) (x² + 2x)² = x4 + 3 + 4x³

2. The equation (x + 1)2 – x2 = 0 has _____ real root(s).

(A) 1

(B) 2

(C) 3

(D) 4

3. The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is
(A) linear equation
(C) cubic equation

4. If 1/2 is a root of the equation x2 + kx – (5/4) = 0 then the value of k is

(A) 2

(B) –2

(C) 3

(D) –3

5. The quadratic equation whose one rational root is 3 + √2 is
(A) x² – 7x + 5 = 0
(B) x² + 7x + 6 = 0
(C) x² – 7x + 6 = 0
(D) x² – 6x + 7 = 0

6. Which of the following equations has 2 as a root?
(A) x² – 4x + 5 = 0
(B) x² + 3x – 12 = 0
(C) 2x² – 7x + 6 = 0
(D) 3x² – 6x – 2 = 0

7. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.

(A) 3

(B) 8

(C) 4

(D) 7

8. The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is
(A) ±√6
(B) ± 4
(C) ±3√2
(D) ±2√6

9. The values 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

10. The product of two successive integral multiples of 5 is 300. Then the numbers are:

(A) 25, 30

(B) 10, 15

(C) 30, 35

(D) 15, 20

11. The sum of the roots of the quadratic equation 3x2 – 9x + 5 = 0 is
(A) 3
(B) 6
(C) -3
(D) 2

12. The quadratic equation 2x² – √5x + 1 = 0 has
(A) two distinct real roots
(B) two equal real roots
(C) no real roots
(D) more than 2 real roots

13. If p2x2 – q2 = 0, then x =?

(A) ±q/p

(B) ±p/q

(C) p

(D) q

14. If the roots of ax2 + bx + c = 0 are in the ratio m : n, then
(A) mna² = (m + n) c²
(B) mnb² = (m + n) ac
(C) mn b² = (m + n)² ac
(D) mnb² = (m – n)² ac

15. Which of the following equations has no real roots?
(A) x² – 4x + 3√2 = 0
(B) x² + 4x – 3√2 = 0
(C) x² – 4x – 3√2 = 0
(D) 3x² + 4√3 + 4 = 0

16. If one of the roots of the equation 4x2 – 2x + p – 4 = 0 is the reciprocal of other, then the value of p is

(A) 8

(B) –8

(C) –4

(D) 4

17. If a, p are the roots of the equation (x – a) (x – b) + c = 0, then the roots of the equation (x – a) (x – P) = c are
(A) a, b
(B) a, c
(C) b, c
(D) none of these

18. Suhana had scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?

(A) 14

(B) 16

(C) 15

(D) 18

19. If one root of the quadratic equation 2x² + kx – 6 = 0 is 2, the value of k is
(A) 1
(B) -1
(C) 2
(D) -2