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JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1
The slope of tangent to the curve x=t2+3t−8x=t^2+3 t-8, y=2t2−2t−5y=2 t^2-2 t-5 at the point (2,−1)(2,-1) is
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Correct option: B
67\frac{6}{7}
Option B (67\frac{6}{7}) is correct because it is the value of dydx\frac{dy}{dx} at t=2, which is found by solving for t and then substituting into the derivative.

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