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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