Question

Find the point whose ordinate is equal to the abscissa and which is equidistant from (0, 4) & (2, 0).

Answer 1

Heya Mate!!

Here's your answer!!

Since the abscissa and the ordinate of a point are equal, let the co - ordinates of the points be P(x,x)

Since it is equidistant from the points A(0, 4) and B(2, 0),

PA²  = PB²

=> (0 - x)² + (4 - x)² = (2 - x)² + (0 - x)²

=> x² + 16 - 8x + x² = 4 - 4x + x² + x²

=> 16 - 8x = 4 - 4x

=> 8x - 4x = 16 - 4

=> 4x = 12

=> x = 3

Therefore the co - ordinates of the points are (3, 3).

Hope it helps you!!

Cheers :D

#foreverJungkook