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JEE Main 2017 Mathematics question

MathematicsStraight LinesJEE Main 2017

Let k be an integer such that the triangle with vertices (k, –3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :

Answer: (C)

Solution

Area gives , integer k = 2. Vertices (2, −6), (5, 2), (−2, 2): the

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Question ID VK-009015