AP EAMCET · Maths · Straight Lines
\(p_1\) and \(p_2\) are the perpendicular distances from the origin to the tangent and normal drawn at any point on the curve \(x^{2 / 3}+y^{2 / 3}=a^{2 / 3}\) respectively. If \(k_1 p_1^2+k_2 p_2^2=a^2\), then \(k_1+k_2=\)
- A 7
- B 6
- C 5
- D 4
Answer & Solution
Correct Answer
(C) 5
Step-by-step Solution
Detailed explanation
\(x^{\frac{2}{3}}+y^{\frac{2}{3}}=a^{\frac{2}{3}}\) \(\qquad ....\mathrm{(i)}\) Any point on (i) is \(\left(a \cos ^3 \theta, a \sin ^3 \theta\right)\) Slope of tangent \(=-\tan \theta\) Equation of the tangent is :…
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