Angle between two curves at their point of intersection
This type of question, asked 4 times: 16 May 2023 S1, 12 May 2024 S1, 19 Apr 2025 S1, 25 Apr 2025 S2. All 4 questions below, oldest first.
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Question 1
16 May 2023 S1
117If θ denotes the acute angle between the curves y=10−x2 and y=2+x2, at a point of the intersection, then ∣tanθ∣ is equal to
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Question 2
12 May 2024 S1
111The angle between the tangents to the curves y=2x2 and x=2y2 at (1,1) is
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Question 3
19 Apr 2025 S1
140The angle between the curves xy=6 and x2y=12 is
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Question 4
25 Apr 2025 S2
141The angle θ, at which the curves y=3x and y=7x intersect, is given by
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