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Triangle with two fixed vertices and the third moving on a line: rate of its area

This type of question, asked 2 times: 14 May 2024 S1, 16 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    14 May 2024 S1

    148
    Let B≡(0,3)B\equiv(0,3) and C≡(4,0)C\equiv(4,0). The point AA is moving on the line y=2xy=2x at the rate of 2 units/second. The area of △ABC\triangle ABC is increasing at the rate of

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  2. Question 2

    16 Apr 2026 S1

    73
    A triangle has two fixed vertices A (a,0)(a, 0) and B(0,b)(0, b) . Let its third vertex C is moving along the line x=yx = y. If ss is the area of triangle ABC, then dsdx=\dfrac{ds}{dx} =

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