MHT CET 2023 Mathematics question

MathematicsStraight LinesMHT CET 2023

Let PQR be a right angled isosceles triangle, right angled at P(2, 1). If the equation of the line QR is 2x + y = 3, then the equation representing the pair of lines PQ and PR is

Answer: (B)

Solution

Since the triangle is right-isosceles with the right angle at P, PQ and PR each make with QR. The slope of QR is . A line of slope makes with it if : , or . So PQ and PR through are

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Question ID VK-097504