Q. 11

Find the equation of a plane passing through the points A(a, 0, 0), B(0, b, 0) and C(0, 0, c).

Answer :

Given : Plane is passing through points

A ≡ (a, 0, 0)

B ≡ (0, b, 0)

C ≡ (0, 0, c)

To Find : Equation of plane

Formulae :

Equation of plane making intercepts (a, b, c) on X, Y & Z axes respectively is given by,

Answer : As plane is passing through points A ≡ (a, 0, 0),

B ≡ (0, b, 0) & C ≡ (0, 0, c)

Therefore, intercepts made by it on X, Y & Z axes respectively are

a, b & c.

hence, equation of plane is

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