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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 12 April 2023, Shift 1, Maths Q5

Question 5 of 90 in this shift, Maths question 5 of 30, Section A.

The sum, of the coefficients of the first 5050 terms in the binomial expansion of (1−x)100(1-x)^{100}, is equal to
  1. (1)99C49{}^{99}\mathrm{C}_{49}
  2. (2)−99C49-{}^{99}\mathrm{C}_{49}Official answer
  3. (3)101C50{}^{101}\mathrm{C}_{50}
  4. (4)−101C50-{}^{101}\mathrm{C}_{50}

Official answer

Option 2

NTA final key.

Chapter
Binomial Theorem
Topic
Binomial Coefficients
Idea tested
Alternating Binomial Series

Same idea in other shifts

Asked 2× in all
  1. 16 Mar 2021, Shift 2 · Q87Let n be a positive integer. Let…MediumNumerical value

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 108 of the 174 JEE Main shifts held from 2017 to 2026.