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

In this 21^{st} 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 = x^{4} + 3 + 4x³

**Answer:
C**

**2.** The equation
(x + 1)^{2} – x^{2} = 0 has _____ real root(s).

(A)
1

(B) 2

(C)
3

(D) 4

**Answer:
A**

**3.**
The polynomial equation x (x + 1) + 8 = (x + 2) {x – 2) is

(A) linear equation

(B) quadratic equation

(C) cubic equation

(D) bi-quadratic equation

**Answer:
A**

**4. **If 1/2 is a
root of the equation x^{2} + kx – (5/4) = 0 then the value of k is

(A) 2

(B) –2

(C)
3

(D) –3

**Answer:
A**

**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

**Answer:
D**

**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

**Answer:
C**

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

(A) 3

(B) 8

(C)
4

(D) 7

**Answer: B**

**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

**Answer: D**

**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

**Answer: D**

**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

**Answer: D**

**11.**
The sum of the roots of the quadratic equation 3x^{2} – 9x + 5 = 0 is

(A) 3

(B) 6

(C) -3

(D) 2

**Answer: A**

**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

**Answer: C**

**13.** If p^{2}x^{2} –
q^{2} = 0, then x =?

(A) ±q/p

(B) ±p/q

(C)
p

(D) q

**Answer: A**

**14.**
If the roots of ax^{2} + 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

**Answer: C**

**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

**Answer: A**

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

(A) 8

(B) –8

(C) –4

(D)
4

**Answer: ****A**

**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

**Answer: ****A**

**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

**Answer: C**

**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

**Answer: B**

**20.**
The equation 12x² + 4kx + 3 = 0 has real and equal roots, if

(A) k = ±3

(B) k = ±9

(C) k = 4

(D) k = ±2

**Answer: A**