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Common tangent to the parabolas y^2 = 4ax and x^2 = 4by

This type of question, asked 2 times: 21 Apr 2025 S1, 19 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    21 Apr 2025 S1

    145
    The Y-intercept of the common tangent to the parabolas y2=32xy^{2}= 32x and x2=108yx^{2}= 108y is

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  2. Question 2

    19 May 2026 S2

    56
    The equation of the common tangent to the parabolas y2=4xy^2 = 4x and x2=32yx^2 = 32y is ...

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