Question

Which figure is described below?

The locus of points 6 units from the
point (1, -2) on the coordinate plane.

Answer 1

Circle, (C)

Explanation:

Answer 2

C ) circle

This equation represents circle

x²-2 x+y²+4 y - 31 =0

Explanation:

Explanation:-

let P(x₁ , y₁) be the locus point

Let P(x₁ , y₁) and A(1,-2)

Given data PA = 6

PA² = 6²

( x₁ -1 )²+(y₁+2)² = 36

x₁²-2 x₁+1+y₁²+4 y₁ +4 = 36

x₁²-2 x₁+y₁²+4 y₁ = 36-5

x₁²-2 x₁+y₁²+4 y₁ - 31 =0

This equation represents circle

x²-2 x+y²+4 y - 31 =0