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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Question 1
14 May 2024 S1
148
Let B≡(0,3) and C≡(4,0). The point A is moving on the line y=2x at the rate of 2 units/second. The area of △ABC is increasing at the rate of
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Question 2
16 Apr 2026 S1
73
A triangle has two fixed vertices A (a,0) and B(0,b) . Let its third vertex C is moving along the line x=y. If s is the area of triangle ABC, then dxds=