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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 26 July 2022, Shift 1, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

The equations of the sides AB, BC and CA of a triangle ABC are 2x+y=02x + y = 0, x+py=15ax + \mathrm{p}y = 15\mathrm{a} and x−y=3x - y = 3 respectively. If its orthocentre is (2, a)(2,\ \mathrm{a}), −12<a<2-\frac{1}{2} < \mathrm{a} < 2, then p is equal to __________.

Official answer

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.