3.
Step 1: Substitute (-6, 1) to the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2)). This will be your Eqn 1.
Step 2: Substitute (-1, 2) to the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2)). This will be your Eqn 2.
Step 3: Equate Eqn 1 and Eqn 2 to get the locus of the required point. You will arrive with an equation of the form Ax + By = C. E×ρréšš y in terms of x.
Step 4: Substitute (-2, 7) and (x, y) (with y E×ρréššed in terms of x) to 5 = sqrt((x2 - x1)^2 + (y2 - y1)^2)
4.
Agree with
Machine Gun Ryan. Just substitute the given values to the Division of Line Segment formula.
5.
Substitute the given points to x^2 + y^2 + Dx + Ey + F = 0. Solve for D, E and F. Transform this general equation to the standard form then you'll get the center of the circle.