State True or False for the statements
The intercepts made by the plane 2x – 3y + 5z +4 = 0 on the co-ordinate axisare.

Question

State True or False for the statements The intercepts made by the plane 2x – 3y + 5z +4 = 0 on the co-ordinate axisare .

Philoid · Accepted Answer

True

First let’s convert the given equation to intercept form i.e.

Where, a, b and c are x, y and z intercepts respectively!

Given,

2x – 3y + 5z + 4 = 0

⇒ -2x + 3y – 5z = 4

Dividing by 4 both side

On comparing, we have intercepts as

State True or False for the statementsThe intercepts made by the plane 2x – 3y + 5z +4 = 0 on the co-ordinate axisare.