A variable plane x/a + y/b + z/c = 1 at a unit distance… — JEE Main 2005 Mathematics PYQ

AIEEE 2005

A variable plane

\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1

at a unit distance from origin cuts the coordinate axes at

A

B

and

C

. Centroid

(x, y, z)

satisfies the equation

\frac{1}{x^2} + \frac{1}{y^2} + \frac{1}{z^2} = K

. The value of

K

Show answer

Correct option: A

[AIEEE 2005]

Practise Three Dimensional Geometry the way it is asked

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JEE Main 2005 Mathematics question on Three Dimensional Geometry