Learn

Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 18 March 2021, Shift 2, Maths Q67

Question 67 of 90 in this shift, Maths question 7 of 30, Section A.

Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x+y=3x+y=3. If R and r be the radius of circumcircle and incircle respectively of Δ\DeltaABC, then (R+r)(R+r) is equal to :
  1. (1)222\sqrt{2}
  2. (2)92\frac{9}{\sqrt{2}}Official answer
  3. (3)727\sqrt{2}
  4. (4)323\sqrt{2}

Official answer

Option 2

NTA final key.

Chapter
Straight Lines
Topic
Straight Line Distance
Idea tested
Distance from Origin to a Line

Same idea in other shifts

Asked 2× in all
  1. 31 Aug 2021, Shift 1 · Q73If p and q are the lengths of the perpendiculars from the origin on the lines,…MediumSingle correct

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.