MCQ Questions | Class 10 Maths Chapter 4 | Quadratic Equations with Answers

MCQ | Quadratic Equations Class 10 | Sat A

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Quadratic Equations Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	4
Chapters Name:	Quadratic Equations
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Quadratic Equations | Class 10 Maths | NCERT Solutions

Q1.	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

Ans: linear equation

Q2.	The quadratic equation 2x2 – 3x + 5 = 0 has
	A. Real and distinct roots
	B. Real and equal roots
	C. Imaginary roots
	D. All of the above

Ans: Imaginary roots

Q3.	The quadratic equation has degree
	A. 0
	B. 1
	C. 2
	D. 3

Ans: 2

Q4.	If 7th and 13th term of an A.P. are 34 and 64 respectively, then its 18th term is
	A. 87
	B. 88
	C. 89
	D. 90

Ans: 89

Q5.	Two candidates attempt to solve a quadratic equation of the form x² + px + q = 0. One starts with a wrong value of p and finds the roots to be 2 and 6. The other starts with a wrong value of q and finds the roots to be 2 and – 9. Find the correct roots of the equation :
	A. 3, 4
	B. - 3, - 4
	C. 3, – 4
	D. – 3, 4

Ans: - 3, - 4

Q6.	A bi-quadratic equation has degree
	A. 1
	B. 2
	C. 3
	D. 4

Ans: 4

Q7.	The equation (x – 2)² + 1 = 2x – 3 is a
	A. linear equation
	B. quadratic equation
	C. cubic equation
	D. bi-quadratic equation

Ans: quadratic equation

Q8.	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

Ans: x² – 6x + 7 = 0

Q9.	Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?
	A. 7
	B. 1
	C. 7, -8
	D. 8

Ans: 8

Q10.	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

Ans: ±2√6

Q11.	Which of the following is not a quadratic equation
	A. x² + 3x – 5 = 0
	B. x² + x3 + 2 = 0
	C. 3 + x + x² = 0
	D. x² – 9 = 0

Ans: x² + x3 + 2 =
Explaination:Reason: Since it has degree 3.

Q12.	The quadratic equation has degree
	A. 0
	B. 1
	C. 2
	D. 3

Ans: 2
Explaination:Reason: A quadratic equation has degree 2.

Q13.	The cubic equation has degree
	A. 1
	B. 2
	C. 3
	D. 4

Ans: 3
Explaination:Reason: A cubic equation has degree 3.

Q14.	A bi-quadratic equation has degree
	A. 1
	B. 2
	C. 3
	D. 4

Ans: 4
Explaination:Reason: A bi-quadratic equation has degree 4.

Q15.	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

Ans: linear equation
Explaination:Reason: We have x(x + 1) + 8 = (x + 2) (x – 2)
⇒ x² + x + 8 = x² – 4
⇒ x² + x + 8- x² + 4 = 0
⇒ x + 12 = 0, which is a linear equation.

Q16.	The equation (x – 2)² + 1 = 2x – 3 is a
	A. linear equation
	B. quadratic equation
	C. cubic equation
	D. bi-quadratic equation

Ans: quadratic equation
Explaination:Reason: We have (x – 2)² + 1 = 2x – 3
⇒ x² + 4 – 2 × x × 2 + 1 = 2x – 3
⇒ x² – 4x + 5 – 2x + 3 = 0
∴ x² – 6x + 8 = 0, which is a quadratic equation.

Q17.	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

Ans: x² – 6x + 7 =
Explaination:Reason: ∵ one root is 3 + √2
∴ other root is 3 – √2
∴ Sum of roots = 3 + √2 + 3 – √2 = 6
Product of roots = (3 + √2)(3 – √2) = (3)² – (√2)² = 9 – 2 = 7
∴ Required quadratic equation is x² – 6x + 7 = 0

Q18.	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

Ans: ±2√6
Explaination:Reason: Here a = 2, b = k, c = 3
Since the equation has two equal roots
∴ b² – 4AC = 0
⇒ (k)² – 4 × 2 × 3 = 0
⇒ k² = 24
⇒ k = ± √24
∴ k= ± \(\pm \sqrt{4 \times 6}\) = ± 2√6

Q19.	The sum of the roots of the quadratic equation 3×2 – 9x + 5 = 0 is
	A. 3
	B. 6
	C. -3
	D. 2

Ans: -3
Explaination:Reason: Here a = 3, b = -9, c = 5
∴ Sum of the roots \(=\frac{-b}{a}=-\frac{(-9)}{3}=3\)

Q20.	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

Ans: a, b
Explaination:Reason: By given condition, (x – a) (x – b) + c = (x – α) (x – β)
⇒ (x – α) (x – β) – c = (x – a) (x – b)
This shows that roots of (x – α) (x – β) – c are a and b

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 4

MCQ Questions | Class 10 Maths Chapter 4 | Quadratic Equations with Answers

MCQ | Quadratic Equations Class 10 | Sat A

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Quadratic Equations | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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