Question

The intercepts made on the coordinate axes by the plane 2x + y − 2z = 3 are:

Options

• `(-3)/2, -3, (-3)/2`

• `3/2, 3, (-3)/2`

• `3/2, -3, (-3)/2`

• `3/2, 3, 3/2`

Answer 1

`3/2, 3, (-3)/2`

Explanation:

Given the equation of the plane is

 2x + y − 2z = 3

Divide by 3 on both sides

`(2"x")/3 + "y"/3 - (2"z")/3 = 1`

or `"x"/(3/2) + "y"/3 + "z"/((-3)/2) = 1`

Hence, the intercepts made on coordinates axes are `3/2, 3, (-3)/2`.