Question

If plane x + ay + z = 4 has equal intercepts on axes, then 'a' is equal to ______.

Options

• 1

• `1/4`

• 4

• `1/5`

Answer 1

If plane x + ay + z = 4 has equal intercepts on axes, then 'a' is equal to 1.

Explanation:

`x/4 + y/(4/"a") + z/4` = 1

For equal intercepts,

`4/"a"` = 4

⇒ a = 1