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Curves y^2 = 6x and 9x^2 + by^2 = 16 cut at right angles: find b

The same question, asked 3 times: 9 May 2023 S1*, 12 May 2024 S2*, 20 Apr 2025 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S1

    132
    If the curves y2=6xy^2=6x, 9x2+by2=169x^2+by^2=16 intersect each other at right angles, then the value of bb is

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  2. Question 2

    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

    Tap an option to check your answer.

  3. Question 3

    20 Apr 2025 S1

    111
    If the curves y2=6xy^{2}= 6x and 9x2+by2=169x^{2}+by^{2}= 16 intersect each other at right angles, then the value of bb is

    Tap an option to check your answer.