Learn

Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 June 2022, Shift 1, Maths Q12

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

In an isosceles triangle ABC, the vertex A is (6,1)(6, 1) and the equation of the base BC is 2x+y=42x+y=4. Let the point B lie on the line x+3y=7x+3y=7. If (α,β)(\alpha, \beta) is the centroid of Δ\DeltaABC, then 15(α+β)15(\alpha+\beta) is equal to :
  1. (1)39
  2. (2)41
  3. (3)51Official answer
  4. (4)63

Official answer

Option 3

NTA final key.

Chapter
Straight Lines
Topic
Straight Line Distance
Idea tested
Foot of the perpendicular

Same idea in other shifts

Asked 2× in all
  1. 4 Aug 2021, Shift 2 · Q89One side of a square lies along the line x−3y+1=0x-3y+1=0 and its one vertex is (1,4)(1,4). If (a,b)(a,b) and (c,d)(c,d) are its two vertices on the line…MediumNumerical value

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.