AP EAMCET · Maths · Application of Derivatives
If the tangent to the curve \(x^{2 / 3}+y^{2 / 3}=a^{2 / 3}\) meets the \(X\)-axis at \(A\) and \(Y\)-axis at \(B\), then \(A B=\)
- A \(2 a\)
- B \(3 a\)
- C a
- D \(4 a\)
Answer & Solution
Correct Answer
(C) a
Step-by-step Solution
Detailed explanation
Given curve is \(x^{2 / 3}+y^{2 / 3}=a^{2 / 3}\) ...(i) Now, let a point on curve \(P\left(a \cos ^3 \theta, a \sin ^3 \theta\right)\) On differentiating the curve (i) w.r.t \(x\), we get…
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