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WBJEE · Maths · Application of Derivatives

The portion of the tangent to the curve \(x^{\frac{2}{3}}+y^{\frac{2}{3}}=a^{\frac{2}{3}}, a > 0\) at any point of it, intercepted between the axes

  1. A varies as abscissa
  2. B varies as ordinate
  3. C is constant
  4. D varies as the product of abscissa and ordinate
Verified Solution

Answer & Solution

Correct Answer

(C) is constant

Step-by-step Solution

Detailed explanation

Hint : for the given curve \(x^{\frac{2}{3}}+y^{\frac{2}{3}}=a^{\frac{2}{3}}, a > 0\) Parametric Coordinates are \(x=a \cos ^3 \theta\) \(y=a \sin ^3 \theta\)…