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AMU 2025 Mathematics PYQ — Condition that the plane should touch the ellipsoid is:… | Mathem Solvex | Mathem Solvex

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AMU 2025 — Mathematics PYQ

AMU | Mathematics | 2025

Condition that the plane $l x + m y + n z = p$ should touch the ellipsoid $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} + \frac{z ^{2}}{c ^{2}} = 1$ is:

Choose the correct answer:

A.
$\frac{l ^{2}}{a} + \frac{m ^{2}}{b} + \frac{n ^{2}}{c} = p^{2}$

Correct Answer:

$\frac{l ^{2}}{a} + \frac{m ^{2}}{b} + \frac{n ^{2}}{c} = p^{2}$

Explanation

No text explanation available.

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TopicAll "Analytical Geometry" PYQs →SubjectMore Mathematics Questions →YearAMU 2025 Paper →All AMU Questions →📄 Download AMU PYQ Papers →📝 Preparation Tips & Articles →

(Correct Answer)

$\frac{l ^{2}}{a} + \frac{m ^{2}}{b} + \frac{n ^{2}}{c} = 0$

$a^{2} l^{2} + b^{2} m^{2} + c^{2} n^{2} = p^{2}$

None of these