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Right isosceles triangle with right angle at (2, 1) and hypotenuse on 2x + y = 3: joint equation of the other two sides

The same question, asked 2 times: 12 May 2024 S1, 13 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    12 May 2024 S1

    150
    Let PQR be a right angled isosceles triangle, right angled at P(2,1)P(2,1). If the equation of the line QR is 2x+y=32x+y=3 then the equation representing the pair of lines PQ and PR is

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  2. Question 2

    13 May 2024 S2

    120
    Let PQR be a right angled isosceles triangle, right angled at Q(2,1)Q(2,1). If the equation of the line PR is 2x+y=32x+y=3, then the combined equation representing the pair of lines PQ and QR is

    Tap an option to check your answer.