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Value of a constant for which two conics cut each other at right angles

This type of question, asked 2 times: 12 May 2024 S2, 19 Apr 2025 S2. All 2 questions below, oldest first.

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  1. Question 1

    12 May 2024 S2

    131
    If the curves y2=6xy^2 = 6x and 9x2+by2=169x^2 + by^2 = 16 intersect each other at right angle, then value of 'bb' is

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  2. Question 2

    19 Apr 2025 S2

    150
    If two curves x2−4y2=2x^{2}- 4y^{2}= 2 and 8x2=40−my28x^{2}= 40 - my^{2} are orthogonal to each other then m=m =

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