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Friday, 9 October

JEE Main 2017 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2017 (offline), Maths Q69

Question 69 of 90 in this shift, Maths question 9 of 30.

Let a,b,c∈Ra,b,c\in\mathbf{R}. If f(x)=ax2+bx+cf(x)=ax^2+bx+c is such that a+b+c=3a+b+c=3 and f(x+y)=f(x)+f(y)+xy, ∀ x,y∈Rf(x+y)=f(x)+f(y)+xy,\ \forall\ x,y\in\mathbf{R}, then ∑n=110f(n)\sum_{n=1}^{10}f(n) is equal to :
  1. (1)165
  2. (2)190
  3. (3)255
  4. (4)330Official answer

Official answer

Option 4

CBSE answer key (25/04/2017, used for result).

Chapter
Sequences and Series
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 (CBSE ran the 2017 exam); 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.