One Vertex Of The Equilateral Triangle With Centroid At The Origin And One Side As x + Y – 2 = 0 Is

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

One vertex of the equilateral triangle with centroid at the origin and one side as x + y – 2 = 0 is

medium

Solution

Correct option is

(–2, –2)

Since the triangle is equilateral the centroid G(0, 0) is also orthocenter or median AD is also its altitude and G divides it in the ratio 2 : 1. The pointD() lies on BC.

If A be the point (h, k) then

AD is perpendicular to BC

= (–2, –2)