JEE Main 2016 Mathematics question

MathematicsApplication of DerivativesJEE Main 2016

If the tangent at a point P, with parameter , on the curve , , , meets the curve again at a point Q, then the coordinates of Q are :

Answer: (4)

Solution

Differentiating the parametric equations, and , so the tangent slope at parameter is . Let the tangent meet the curve again at the point with parameter . The chord joining the two points has slope

= Missing argument for \frac\frac{+st+

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Question ID VK-115576