CBSE Class 10 Mathematics Quadratic Equations MCQs Set C

Refer to CBSE Class 10 Mathematics Quadratic Equations MCQs Set C provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 4 Quadratic Equations Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects

MCQ for Class 10 Mathematics Chapter 4 Quadratic Equations

Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 4 Quadratic Equations in Class 10.

Chapter 4 Quadratic Equations MCQ Questions Class 10 Mathematics with Answers

Question: What is the ratio of the sum and the product of roots of 7x2 -12x +18 = 0
a) 7:12
b) 2:3
c) 3:2
d) 7:18
Answer: b

Question: Find the common root of the equations x2 - 7x + 10 = 0 and x2 - 10x + 16 = 0.
a) - 2
b) 3
c) 5
d) 2
Answer: d

Question: The sides of two square plots are (2x - 1)m and (5x + 4)m . The area of the second square plot is 9 times the area of the first square plot. Find the side of the larger plot.
a) 15m
b) 13m
c) 31 m
d) 39m
Answer: d

Question: The quadratic equation ax2 + bx + c = 0 has no real root. Which of the following is true?
a) b2 - 4ac < 0
b) b2 - 4ac = 0
c) b2 - 4ac > 0
d) b2 + 4ac < 0
Answer: a

Question: If the roots of the equation x2 + 2cx + ab = 0 are real and unequal, then the equation x2 – 2(a + b)x + a2 + b2 + 2c2 = 0 has ________ roots.
a) Real
b) Equal
c) No real
d) Can’t be determined
Answer: c

Question: Which of the following is the quadratic equation one of whose roots is 3 - 2√3 ?
a) x2 + 6x - 3 = 0
b) x- 6x - 3 = 0
c) x+ 6x + 3 = 0
d) x2 - 6x + 3 = 0
Answer: b

Question: If the roots of the equation (a2 + b2) x2 – 2b(a + c)x + (b2 + c2) = 0 are equal, then ________.
a) 2b = a + c
b) b2 = ac
c) b = 2ac/a+b
d) b = ac
Answer: b

Question: If the roots of x2 + 4mx + 4m2 + m + 1 = 0 are real, which of the following is true?
a) m = - 1
b) m ≤ - 1
c) m ≥ -1
d) m ≥ 0
Answer: b

Question: If the equation ax - 5x + c = 0 has 10 as the sum of the roots and also as the product of the roots, which of the following is true?
a) a - c = 5
b) a = 2,c = 3
c) a = 5, c =1
d) a = 3, c = 2
Answer: a

Question: If the product of the roots of x2 - 3x + k = 10 is - 2, what is the value of' k'?
a) -2
b) 8
c) 12
d)-8
Answer: b

Question: What is the ratio of the sum and the product of roots of 7x2 - 12x + 18 = 0
a) 7:12
b) 2:3
c) 3:2
d) 7:18
Answer: b

Question: In the equation

CBSE-Class-10-Mathematics-Quadratic-Equations-MCQs-Set-C-2

the roots are equal when m = __.

a) 1/2
b) − 1/2
c) 0
d) 1
Answer: b

Question: Read the statement carefully and state ‘T’ for true and ‘F’ for false

CBSE-Class-10-Mathematics-Quadratic-Equations-MCQs-Set-C-1

 

(ii) A line segment AB of length 2 m is divided at C into two parts such that AC= AB·CB. The length of the part CB is 3 + √5 .
(iii) Every quadratic equation can have at most two real roots.
(iv) A real number a is said to be root of the quadratic equation ax2 + bx + c = 0, if aα2 + bα + c = 0.
(i) (ii) (iii) (iv)
a) F T T T
b) F T T F
c) T F F T
d) F F T T
Answer: d

Question: Read the statements carefully.
Statement - I : The quadratic equation ax2 + bx + c = 0 has two distinct real roots, if b2 – 4ac ≥ 0.
Statement - II : The quadratic equation 2(a2 + b2)x2 + 2(a + b)x + 1 = 0 has no real roots, when a ≠ b.
a) Both Statement - I and Statement - II are true.
b) Statement - I is true but Statement - II is false.
c) Statement - I is false but Statement - II is true.
d) Both Statement - I and Statement - II are false.
Answer: c


One Word Questions :

 Question: Find the roots of the equation y2 + 1/2 , y - 1 = 0 .
Answer: -1 + √7/4 , - 1 - √7/4

Question: What are the two value of z which satisfy the equation z² + 2z – 8 = 0?
Answer: – 4, 2

Question: Difference of the natural number and its reciprocal is 3/2 . What is the number?
Answer: 2

Question: Find the value of discriminant of the equation √3x² – 2 √2x – 2 √3 =0
Answer: 32

 Question: What value of x will satisfy the equation x² = (x + 5)(x + 3)?
Answer: -15/8

Question: Find the roots of the equation 3x²+2 5x – √5=0 .
Answer: - √5 , √5/3

 Question: Solve the quadratic equation : ax² – 2abx = 0.
Answer: x = 0 or x = 2b

Question: What are the two roots of the equation (x + 4) (x – 5) = 0?
Answer: – 4, 5

Question: For what value of p the equation px² + 4x + 1 = 0 will have equal roots?
Answer: 4

 Question: If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k.
Answer: 9/4

Question: The product of Ramu’s age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu’s present age.
Answer: 6 years

 Question: One root of the quadratic equation 2x² 3x k 0 is 1/2. What is the value of k?
Answer: –2

Question: What is the solution set of equation 3x² + 5x – 2 = 0?
Answer: {1/3 , -2}

Question: What are the two roots of the equation (x + 5)² – 36 = 0?
Answer: 1, –11

Question: Find the solutions of quadratic equation : y²+2 √3y+3= 0 .
Answer: y = – √3, – √3

Question: What are the value of p and q if these are the roots of the equation x² + px + q = 0?
Answer: p = 1, q = –2

Question: Find the value of discriminant in 25x² – 30x + 9 = 0.
Answer: 0

Question: If sum of a whole number and its reciprocal is 17/4 , what is the number?
Answer: 4

Question: The length of a hall is 10m more than its breadth. Find the length and breadth of the hall if its area is 600m².
Answer: 30m, 20m

Question: The sum S of n successive odd natural numbers starting from 3 is given by the relation S = n(n + 2). Determine n, if the sum is 168.
Answer: n = 12

Question: If one root of the quadratic equation x² mx –16 0 is negetive of other then what is the value of m?
Answer: 0

Question: One side of the rectangle exceeds the other side by 3cm. If the area of rectangle is 180sq.cm., find the two sides of the rectangle.
Answer: 12cm, 15cm

Question: The quadratic equation ax² + bx + c has equal roots. What are the roots?
Answer: - b/a

Question: What is the equation whose roots are 2+ √3 and 2 – √3 ?
Answer: x² – 4x + 1 = 0

Question: If , are the roots of the equation 3x² 7x 3 0 , then what is the value of .
Answer: - 4/3

Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Mathematics Application of Trigonometry MCQs

MCQs for Chapter 4 Quadratic Equations Mathematics Class 10

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