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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2023, Shift 1, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

Let C(α,β)C(\alpha,\beta) be the circumcenter of the triangle formed by the lines 4x+3y=694x+3y=69, 4y−3x=174y-3x=17, and x+7y=61x+7y=61. Then (α−β)2+α+β(\alpha-\beta)^2+\alpha+\beta is equal to
  1. (1)1515
  2. (2)1616
  3. (3)1717Official answer
  4. (4)1818

Official answer

Option 3

NTA final key.

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