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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 18 March 2021, Shift 1, Maths Q69

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

If α,β\alpha,\beta are natural numbers such that 100α−199β=(100)(100)+(99)(101)+(98)(102)+…+(1)(199)100^{\alpha}-199\beta=(100)(100)+(99)(101)+(98)(102)+\ldots+(1)(199), then the slope of the line passing through (α,β)(\alpha,\beta) and origin is :
  1. (1)510
  2. (2)530
  3. (3)540
  4. (4)550Official answer

Official answer

Option 4

NTA final key.

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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.