JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 29 June 2022, Shift 2, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

The distance of the origin from the centroid of the triangle whose two sides have the equations

x - 2y + 1 = 0

and

2x - y - 1 = 0

and whose orthocenter is

\left(\frac{7}{3}, \frac{7}{3}\right)

is:

(1) $\sqrt{2}$
(2) $2$
(3) $2\sqrt{2}$ Official answer
(4) $4$

Official answer

Option 3

NTA final key.

Chapter: Straight Lines
Topic: Pair of Straight Lines
Idea tested: Orthocenter of Triangle with Pair of Lines

Same topic in other shifts

All Pair of Straight Lines questions

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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.