If SandS′ are two foci of ellipse 16x2+25y2=400andPSQ is a focal chord such that SP=16, then find SprimeQ˙
Find the equation for the ellipse that satisfies the given conditions:Length of major axis 26, foci (±5,0)
If the middle points of the sides of a triangle are (−2,3),(4,−3),and(4,5) , then find the centroid of the triangle.
Let A(2,−3)andB(−2,1) be the vertices of ABC˙ If the centroid of the triangle moves on the line 2x+3y=1, then find the locus of the vertex C˙
The sum of the squares of the distances of a moving point from two fixed points (a,0) and (−a,0) is equal to a constant quantity 2c2˙ Find the equation to its locus.