Refer to CBSE Class 10 Mathematics Quadratic Equations MCQs Set B 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: Two numbers whose sum is 12 and the absolute value of whose difference is 4 are the roots of the equation ________.
a) x2 – 12x + 30 = 0
b) x2 – 12x + 32 = 0
c) 2x2 – 6x + 7 = 0
d) 2x2 – 24x + 43 = 0
Answer: b
Question: If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q is equal to
a) 8
b) –8
c) 16
d) –16
Answer: c
Question: Find two consecutive positive odd numbers, the sum of whose squares is 514.
a) 11, 13
b) 15, 17
c) 11, 9
d) 13, 15
Answer: b
Question: For what value of a, the roots of the equation 2x2 + 6x + a = 0, satisfy the condition(α/β)+(β/α) < 2 (where a and b are the roots of equation).
a) a < 0
b) –1 < a < 0
c) –1 < a < 1
d) None of these
Answer: d
Question: If one of roots of 2x2 + ax + 32 = 0 is twice the other root, then the value of a is ________.
a) −3 √2
b) 8 √2
c) 12 √2
d) −2 √2
Answer: c
Question: The roots of the equation x2/3 + x1/3 – 2 = 0 are ________.
a) 1, –8
b) 1, –2
c) 2/3, 1/3
d) –2, –8
Answer: a
Question: If x = √2 +√2 +√2 + ........... , then _______.
a) x = 1
b) 0 < x < 1
c) x is infinite
d) x = 2
Answer: d
Question: In the quadratic equation 9x2 + ax - 2 = 0 , find the value of a for which x = 1/3 is its solution.
a) -2
b) 3
c) -4
d) 6
Answer: b
Question: The roots of the equation 3x + 5 (x)1/2 = √2 can be found by solving ________.
a) 9x2 + 28x + 25 = 0
b) 9x2 + 30x + 25 = 0
c) 9x2 + 28x – 25 = 0
d) 16x2 + 22x – 30 = 0
Answer: a
Question: The roots of ax2 + bx + c = 0, a ≠ 0 are real and unequal, if b2 – 4ac is _______.
a) = 0
b) > 0
c) < 0,
d) ≥ 0
Answer: b
Question: If one root of the equation a(b – c)x2 + b(c – a)x + c(a – b) = 0 is 1, then the other root is ___.
a) b(c - a) / a(b - c)
a) a(b - c) / c(a - b)
a) a(b - c) / c(a - b)
a) b(c - a) / a(b - c)
Answer: d
Question: One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of x2 correctly as –6 and 1 respectively. The correct roots are ____.
a) 3, –2
b) –3, 2
c) –6, –1
d) 6, –1
Answer: d
Question: In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 38 bangles. If he wanted to increase the size of square by one unit each side of the square he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was ________.
a) 1690
b) 999
c) 538
d) Can’t be determined
Answer: b
Question: Which of the following quadratic polynomials can be factorized into a product of real linear factors?
a) 2x2 - 5x + 9
b) 2x2 + 4x -5
c) 3x2 + 4x + 6
d) 5x2 - 3x + 2
Answer: b
Question: If the roots of the equation (a – b)x2 + (b – c)x + (c – a) = 0 are equal. Then _______.
a) 2b = a + c
b) 2a = b + c
c) 2c = a + b
d) 1/b = 1/a = 1/c
Answer: b
Question: Which of the following equations has 2 as a root?
a) 2x2 - 7x + 6 = 0
b) x2 - 4x + 5 = 0
c) 3x2 - 6x - 2 = 0
d) x2 + 3x -12 = 0
Answer: a
Question: The ratio of the length and breadth of a rectangular photo frame is 3 : 2. Find its length if its area is 864 cm2 .
a) 34 cm
b) 26 cm
c) 24 cm
d) 36 cm
Answer: d
Question: Find the value of 'p' for which m = 1/√3 is a root of the eq/uation pm2 + ( √3 - √2)m - 1 = 0
a) √3
b) √2
c) √6
d) √7
Answer: c
Question: ₹ 6500 were divided equally among a certain number of persons. If there had been 15 more persons, each would have got ₹ 30 less. Find the original number of persons.
a) 50
b) 60
c) 45
d) 55
Answer: a
Question: If a and Rare the roots of the equation x2 -8x + p = 0 such that α2 + β2 = 40 , find the value of 'p'.
a) 8
b) 10
c) 12
d) 14
Answer: c
CBSE Class 10 Mathematics Quadratic Equations MCQs Set A |
CBSE Class 10 Mathematics Quadratic Equations MCQs Set B |
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MCQs for Chapter 4 Quadratic Equations Mathematics Class 10
Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Class 10 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Class 10 Mathematics. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.
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