Learn

Friday, 9 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 April 2024, Shift 2, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

Two vertices of a triangle ABC are A(3,−1)(3,-1) and B(−2,3)(-2,3), and its orthocentre is P(1,1)(1,1). If the coordinates of the point C are (α,β)(\alpha,\beta) and the centre of the circle circumscribing the triangle PAB is (h,k)(h,k), then the value of (α+β)+2(h+k)(\alpha+\beta)+2(h+k) equals
  1. (1)55Official answer
  2. (2)1515
  3. (3)5151
  4. (4)8181

Official answer

Option 1

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