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Friday, 9 October

JEE Main 2017 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2017 (offline), Maths Q78

Question 78 of 90 in this shift, Maths question 18 of 30.

Let k be an integer such that the triangle with vertices (k,−3k)(k,-3k), (5,k)(5,k) and (−k,2)(-k,2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :
  1. (1)(1,34)\left(1,\frac{3}{4}\right)
  2. (2)(1,−34)\left(1,-\frac{3}{4}\right)
  3. (3)(2,12)\left(2,\frac{1}{2}\right)Official answer
  4. (4)(2,−12)\left(2,-\frac{1}{2}\right)

Official answer

Option 3

CBSE answer key (25/04/2017, used for result).

Topic
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Idea tested
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Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.