TS EAMCET · Maths · Ellipse
If \(6 x-5 y-20=0\) is a normal to the ellipse \(x^2+3 y^2=k\), then \(k=\)
- A 9
- B 17
- C 25
- D 37
Answer & Solution
Correct Answer
(D) 37
Step-by-step Solution
Detailed explanation
Equation of normal \(\begin{aligned} & y=m x \pm \frac{m\left(a^2-b^2\right)}{\sqrt{a^2+b^2 m^2}} \Rightarrow \frac{6}{5} x-4=y \\ & \Rightarrow m=\frac{6}{5} \end{aligned}\) Ellipse : \(x^2+3 y^2=k \frac{x^2}{k}+\frac{y^2}{k / 3}=1\)…
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