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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 16 March 2021, Shift 2, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

Let P(x)=x2+bx+cP(x)=x^2+bx+c be a quadratic polynomial with real coefficients such that ∫01P(x) dx=1\int_0^1P(x)\,dx=1 and P(x)P(x) leaves remainder 5 when it is divided by (x−2)(x-2). Then the value of 9(b+c)9(b+c) is equal to :
  1. (1)7Official answer
  2. (2)9
  3. (3)11
  4. (4)15

Official answer

Option 1

NTA final key.

Chapter
Integrals
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.