Question

If the plane x - 3y + 5z = d passes through the point (1, 2, 4), then the lengths of intercepts cut by it on the axes of X, Y, Z are respectively ______ 

Options

• 15, -5, 3

• 1, -5, 3

• -15, 5, -3

• 1, -6, 20

Answer 1

If the plane x - 3y + 5z = d passes through the point (1, 2, 4), then the lengths of intercepts cut by it on the axes of X, Y, Z are respectively 15, -5, 3.

Explanation:

The plane x - 3y + 5z = d passes through (1, 2, 4).

∴ d = 15

∴ the equation of plane becomes x - 3y + 5z = 15

⇒ `x/15 + y/(-5) + z/3 = 1`

∴ length of intercept cut by plane on the X, Y, Z axes are 15, -5, 3 respectively.