Question

The joint equation of pair of lines having slopes 2 and 5 and passing through the origin is ______.

Options

• 10x² – 7xy – y² = 0

• 10x² – 7xy + y² = 0

• 10x² + 7xy+ y² = 0

• 10x² – 10xy + y² = 0

Answer 1

The joint equation of pair of lines having slopes 2 and 5 and passing through the origin is 10x² – 7xy + y² = 0.

Explanation:

Equations of lines are y = 2x and y = 5x

∴ The combined equation of the pair of lines is (2x – y)(5x – y) = 0

⇒ 10x² – 7xy + y² = 0