Question

The intercepts made by the plane 2x – 3y + 5z + 4 = 0 on the coordinate axes are `-2, 4/3, (-4)/5`.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Equation of the plane is 2x – 3y + 5z + 4 = 0

⇒ 2x – 3y + 5z = – 4

⇒ `2/(-4)x - (3y)/(-4) + (5z)/(-4)` = 1

⇒ `x/(-2) - y/(4/3) + z/((-4)/5)` = 1

So, the required intercepts are `-2, 4/3` and `- 4/5`