AP EAMCET · Maths · Application of Derivatives
The sum of the intercepts made by a tangent drawn to the curve \(\left(\frac{x}{a}\right)^n+\left(\frac{y}{b}\right)^n=2\) at \((a, b)\) on the coordinate axes is
- A \(a+b\)
- B \(a^2+b^2\)
- C \(2(a-b)\)
- D \(2(a+b)\)
Answer & Solution
Correct Answer
(D) \(2(a+b)\)
Step-by-step Solution
Detailed explanation
Curve it :- \(\left(\frac{\mathrm{x}}{\mathrm{a}}\right)^{\mathrm{n}}+\left(\frac{\mathrm{y}}{\mathrm{b}}\right)^{\mathrm{n}}=2\) Let we assume that \(\mathrm{a}=1, \mathrm{~b}=2\) \(\therefore\) Eqn of curve is :-…
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