Question

If `|(2, 4),(5, 1)| = |(2x, 4),(6, x)|`, then the possible value(s) of ‘x’ is/are ______.

Options

• 3

• `sqrt(3)`

• `-sqrt(3)`

• `sqrt(3), -sqrt(3)`

Answer 1

If `|(2, 4),(5, 1)| = |(2x, 4),(6, x)|`, then the possible value(s) of ‘x’ is/are `underline(bb(sqrt(3), -sqrt(3))`.

Explanation:

2 − 20 = 2x² − 24

⇒ 2x² = 6 

⇒ x² = 3

⇒ x = `+- sqrt(3)`