JEE Main 2022 Mathematics question
The equations of the sides AB, BC and CA of a triangle ABC are 2x + y = 0, x + py = 39 and x − y = 3 respectively and P(2, 3) is its circumcentre. Then which of the following is NOT true?
Answer: (4)
Solution
A is the intersection of 2x + y = 0 and x − y = 3: A = (1, −2). The vertices B and C are the reflections of A in the perpendicular bisectors through the circumcentre P(2, 3): the perpendicular bisector of AB is x − 2y = −4, giving B = (−13/5, 26/5), and the perpendicular
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