JEE Main 2012 — Straight Lines Question with Solution
JEE Main 2012 (12 May Online)
Question
If two vertices of a triangle are and and its orthocentre is at , then the third vertex is
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let the third vertex of be . Orthocentre Let and be other two vertices of . Now, (Slope of Slope of Similarly, Slope of Slope of On solving equation (1) and (2) we get Hence, third vertex is .
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This is a previous-year question from JEE Main 2012, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.