Question:
The slope of the tangent to the hyperbola 2x²-3y²=6 at (3,2) is
The slope of the tangent to the hyperbola 2x²-3y²=6 at (3,2) is
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Use implicit differentiation for conics.
Updated On: Mar 18, 2026
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The Correct Option is A
Solution and Explanation
Step 1: Differentiate implicitly: 4x-6y(dy)/(dx)=0
Step 2: (dy)/(dx)=(2x)/(3y)
Step 3: At (3,2), (dy)/(dx)=-1
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