If the parametric equation of a curve is given by and then the tangent to the curve at the point makes the angle with the axis of x is

Explanation: Concept Let be the equation of a curve, then the slope of the tangent at any point is . Suppose we have two differentiable functions and . • Chain Rule: • Product Rule: • Quotient Rule: Calculation: Given: --- (1) Similarly, --- (2) Dividing (2) by (1): At : Hence the tangent is perpendicular to the x-axis.

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CUET PG 2024 — Mathematics PYQ

CUET PG | Mathematics | 2024

If the parametric equation of a curve is given by $x = e^{t} cos t$ and $y = e^{t} s in t$ then the tangent to the curve at the point $t = π/4$ makes the angle with the axis of x is

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