Sum and product of rootsPractice Questions & MCQs
Practice Sum and product of roots questions from Quadratic Equations (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.
Sum and product of rootsQuiz - Solve & Score
Q1. If alpha, beta are roots of x^2 - 6x + 8, then alpha^2 + beta^2 is (NCERT):
- A.16
- B.36
- C.52
- D.20
Answer: D. 20
Reading the problem, 2, 6, 8, 2, 2 (math, chapter 'Quadratic Equations'). What we must find: the requested quantity. The relevant chapter relation links the data to the unknown - rearrange it to isolate the quantity we are solving for. The arithmetic is: (6)^2 - 2(8) = 36 - 16 = 20. That lands on option D) 20. As for the others, option A) '16' misses the point - It is 36 - 16 = 20; option B) '36' misses the point - (sum)^2 - 2(prod)=36-16=20.
Q2. If one root of x^2 - 8x + k = 0 is 3, then k and the other root are (NCERT):
- A.k = 15, root 6
- B.k = 15, other root 5
- C.k = 5, root 5
- D.k = 24, root 5
Answer: B. k = 15, other root 5
Q3. If the roots are reciprocal, then for ax^2 + bx + c (NCERT):
- A.a = -c
- B.a = b
- C.a = c
- D.b = c
Answer: C. a = c
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Yes. These Sum and product of roots 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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