TS EAMCET · Maths · Ellipse
The normal drawn at the point \(\left(\sqrt{9} \cos \frac{\pi}{4}, \sqrt{7} \sin \frac{\pi}{4}\right)\) to the ellipse \(\frac{x^2}{9}+\frac{x^2}{7}=1\) intersects its major axis at the point
- A \(\left(0, \sqrt{\frac{2}{7}}\right)\)
- B \(\left(-\sqrt{\frac{2}{9}}, 0\right)\)
- C \(\left(0,-\sqrt{\frac{2}{7}}\right)\)
- D \(\left(\sqrt{\frac{2}{9}}, 0\right)\)
Answer & Solution
Correct Answer
(D) \(\left(\sqrt{\frac{2}{9}}, 0\right)\)
Step-by-step Solution
Detailed explanation
Equation of normal drawn of the point \(\left(\sqrt{9} \cos \frac{\pi}{4}, \sqrt{7} \sin \frac{\pi}{4}\right)\) to ellipse \(\frac{x^2}{9}+\frac{y^2}{7}=1\) is \(\frac{9 x}{\sqrt{9} \cos \frac{\pi}{4}}-\frac{7 y}{\sqrt{7} \sin \frac{\pi}{4}}=9-7\)…
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