Learn

Friday, 9 October

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2023, Shift 2, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

The ordinates of the points PP and QQ on the parabola with focus (3,0)(3, 0) and directrix x=−3x = -3 are in the ratio 3:13:1. If R(α,β)R(\alpha, \beta) is the point of intersection of the tangents to the parabola at PP and QQ, then β2α\frac{\beta^2}{\alpha} is equal to ________:

Official answer

16

NTA final key.

Chapter
Conic Sections
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.