MHT CET 2023 Mathematics question
Let PQR be a right angled isosceles triangle, right angled at Q(2, 1). If the equation of the line PR is 2x + y = 3, then the combined equation representing the pair of lines PQ and QR is
Answer: (A)
Solution
PR is the hypotenuse, with slope . In a right isosceles triangle the legs QP and QR make with the hypotenuse. A line with slope makes with slope when . Case ; case $=-1⇒
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