Question

Find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)​

Answer 1

Hello mate :)

The answer is (0,19) or (0,-5).

By distance formula,

\sqrt{(7 - y) {}^{2} + 5 {}^{2} } = 13

after squaring on both sides we and solving we get,

y {}^{2} - 14y - 95 = 0

so, y=19 or -5

....Hope it will help you mate....