Question

If the distance between the points (3, −5) and (x, −5) is 15 units, then the values of x are ______.

विकल्प

• 12, −18

• −12, 18

• 18, 5

• −9, −12

Answer 1

If the distance between the points (3, −5) and (x, −5) is 15 units, then the values of x are −12, 18.

Explanation:

Here, (15)² = (3 − x)² + (−5 + 5)²

225 = 9 − 6x + x²

or, x² − 6x − 216 = 0

or, x² − 18x + 12x − 216 = 0

or, x (x − 18) + 12 (x − 18) = 0

or, (x − 18) (x + 12) = 0

or, x = − 12, 18