Question

If (2p, − p) lies on the line 3x − 4y + 20 = 0, then the value of p is ______.

Options

• 2

• −2

• 4

• 3

Answer 1

If (2p, − p) lies on the line 3x − 4y + 20 = 0, then the value of p is −2.

Explanation:

given:

A point (2p,− p) lies on the line 3x − 4y + 20 = 0

Step:

Substitute x = 2p and y = −p into the equation

3(2p) − 4(−p) + 20 = 0

6p + 4p + 20 = 0

10p + 20 = 0

10p = −20

p = −2