Question

a point moves so that it always at a distance of 6 units from the point (1,-4).find it locus

Answer 1

♧♧HERE IS YOUR ANSWER♧♧

Let, the moving point be (x, y).

Then,

√[ (x - 1)² + (y + 4)² ] = 6

Squaring, we get :

(x - 1)² + (y + 4)² = 6²,

which is the required locus of (x, y) point. It is a circle, whose centre is at (1, -4) and radius is 6 units.

♧♧HOPE THIS HELPS YOU♧♧

Answer 2

hay!!

dear user

According to the question we know that let moving point (x, y)

Then,

(x-1)²+(y+4)²=6²


so, the circle whose center is (1,4) and radius is 6 unit


I hope it's help you