Question

The ordinate of a point is twice its abscissa . If its distance from the point (4,3) is √10 units ,then the coordinates of the point are ?

Answer 1

(1 , 2) and (3 , 6)

Explanation:

the point P : (x , y) -> (x , 2x) ... ordinate of P point is twice its abscissa, y = 2x

√10 = √(x-4)² + (2x-3)²

5x² - 20x + 25 = 10

x² - 4x + 3 = 0

(x-1)(x-3) = 0

x = 1 or x = 3

y = 2 or y = 6