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Slope of the tangent to xy + ax + by = 0 at (1, 1) given: find an expression in a and b

This type of question, asked 2 times: 9 May 2024 S2, 18 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    9 May 2024 S2

    104
    If slope of a tangent to the curve xy+ax+by=0xy + ax + by = 0 at the point (1,1)(1,1) on it is 2, then a−ba - b is

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  2. Question 2

    18 Apr 2026 S1

    77
    If the tangent to the curve xy+ax+by=0xy + ax + by = 0 at (1,1)(1, 1) makes an angle of tan⁡−12\tan^{-1}2 with positive direction of the xx-axis, then the value of aba+b\dfrac{ab}{a + b} is...

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