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JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 15 April 2023, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

If

(\alpha,\beta)

is the orthocenter of the triangle ABC with vertices

A(3,-7)

,

B(-1,2)

and

C(4,5)

, then

9\alpha-6\beta+60

is equal to

(1) $25$ Official answer
(2) $30$
(3) $35$
(4) $40$

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