Question

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

Answer 1

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