Relationship between zeros and coefficientsPractice Questions & MCQs
Practice Relationship between zeros and coefficients questions from Polynomials (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Relationship between zeros and coefficientsQuiz - Solve & Score
Q1. If alpha, beta are zeros of x^2 - 5x + 6, then alpha + beta is (NCERT):
- A.5
- B.-5
- C.-6
- D.6
Answer: A. 5
Given 2, 5, 6, asked for the unknown. By apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation. apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation → so the required value = 5. substitute the coefficients and simplify. Hence option A) 5. Others fail: option B) '-5' is wrong because Sum = -b/a = 5; option C) '-6' fails since Sum is 5.
Q2. If one zero of x^2 - 4x + k is 1, then k is (NCERT):
- A.4
- B.3
- C.-3
- D.1
Answer: B. 3
Q3. If the zeros of a quadratic are reciprocals of each other, then (for ax^2+bx+c) (NCERT):
- A.a = b
- B.b = c
- C.a = c
- D.a = -c
Answer: C. a = c
Given 2, asked for the unknown. By apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation. apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation. substitute the coefficients and simplify. Thus option C) a = c. Others fail: option A) 'a = b' misses the point - Product of zeros = c/a = 1 => a=c; option B) 'b = c' fails since Reciprocal zeros => product 1 => c=a.
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Yes. These Relationship between zeros and coefficients important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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