Question:
If \( l = x^2 + y^2 + z^2 \) is a normal to the ellipse
\[
\frac{x^2}{16} + \frac{y^2}{9} = 1,
\]
then
If \( l = x^2 + y^2 + z^2 \) is a normal to the ellipse
\[
\frac{x^2}{16} + \frac{y^2}{9} = 1,
\]
then
Show Hint
To find the normal to the ellipse, calculate the gradient and use it to determine the magnitude of the normal vector.
Updated On: Jan 12, 2026
- \( \sqrt{73} \)
- \( \sqrt{96} \)
- \( \sqrt{49} \)
- \( \sqrt{81} \)
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The Correct Option is A
Solution and Explanation
The ellipse equation is compared with the general equation of the ellipse, and the magnitude of the normal vector is calculated based on its relation to the semi-major and semi-minor axes.
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