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JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1
The slope of the tangent to the curves x=t2+3t−8,  y=2t2−2t−5x = {t^2} + 3t - 8,\;y = 2{t^2} - 2t - 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 slope of the tangent calculated at the given point by finding dy/dx using parametric differentiation.

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