Analytic Geometry

example po sa locus Analytic geometry .. yong with figure tsaka solution .. pls

questions:find teh equation of the ellipse satisfying the following conditions
1. foci at (±2,0),one vertex at (3,0)

2. co-vertices (-4,3) and (-4,-5),eccentricity 3/5

Hello everyone.. I need your help to solve this problem.

A point P(x,y) moves in such a way that its distance from (-2, 3) is 4. Find the equation.

Thanks

find the equation of a parabola with axis parallel to x-axis and passing through (5,4), (11,-2), (21,-4).

Find the equation of the normal line to the curve x^2 + 2y^2 - 2xy - x = 0 at the points where it crosses the x-axis .

Analytic Geometry Problem Set

I really need help in solving this problem I don't how to do some of it. Please.

Problem 1:
A line passes through point (2,2). Find the equation of the line if the length of the line segment intercepted by the coordinate axes is the square root of 5.

Problem 2:
What is the equation of the line bisecting the bigger angle formed by the intersection of the lines 2x-y+2=0 and 2x+y-4=0?

Problem 3:
The points P(-3, 6), Q(1,-5), R(7, 2) are vertices of a triangle. Find the interior angles.

find the equation of the circle that is tangent to the line 2x+y=1 and 2x+4y=3 and whose centeris on the line 2x-18y=-25