Write the equation of the plane whose intercepts on the coordinate axes are 2, -4 and 5 respectively.

Question

Philoid · Accepted Answer

Given :

X – intercept, a = 2

Y – intercept, b = - 4

Z – intercept, c = 5

To Find : Equation of plane

Formula :

If a, b & c are the intercepts made by plane on X, Y & Z axes respectively, then equation of the plane is given by,

Multiplying above equation throughout by 40,

20x – 10y + 8z = 40

10x – 5y + 4z = 20

This the equation of the required plane.