AP EAMCET · Maths · Application of Derivatives
If the relation \(p\) (subnormal length) \(=q\) (subtangent length) \({ }^2\) holds true for the curve \(b y^2=(x+a)^3\), then the value of \(\frac{p}{q}\) is equal to
- A \(\frac{8}{27}\)
- B \(\frac{8 b}{27}\)
- C \(\frac{8}{27 b}\)
- D \(\frac{27}{8 b}\)
Answer & Solution
Correct Answer
(B) \(\frac{8 b}{27}\)
Step-by-step Solution
Detailed explanation
Given curve, \(b y^2=(x+a)^3\) On differentiating w.r.t. \(x\), we get \(2 b y \frac{d y}{d x}=3(x+a)^2\)…
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