If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then

(a) 5x = y

(b) x = 5y

(c) 3x = 2y

(d) 2x = 3y

Open in App

Solution

It is given that is equidistant to the point

So,

So apply distance formula to get the co-ordinates of the unknown value as,

On further simplification we get,

So,

Thus,

So the answer is (c)

Suggest Corrections

Similar questions

(i) If the point P(2, 2) is equidistant from the points (a+b, b-a) and (a-b, a+b), prove that bx = ay.

(ii) If thedistances of P(x, y) from A(5, 1) and B (-1, 5) are equal then prove that 3x = 2y.

x = s e c ϕ - t a n ϕ

y = c o s e c ϕ + c o t ϕ

Join BYJU'S Learning Program