Learn

Saturday, 31 October

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 12 April 2023, Shift 1, Maths Q29

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

Let the plane x+3y−2z+6=0x+3y-2z+6=0 meet the co-ordinate axes at the points A, B, C. If the orthocenter of the triangle ABC is (α,β,67)\left(\alpha,\beta,\frac{6}{7}\right), then 98(α+β)298(\alpha+\beta)^2 is equal to _______.

Official answer

288

NTA final key.

Chapter
Three Dimensional Geometry
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.