The equation to the line touching both the parabolas y2=4x and x2=−32y is
If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD (see Fig. 10.25).
Find the equation for the ellipse that satisfies the given conditions:Ends of major axis (0,±5), ends of minor axis (±1,0)
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.
Find the coordinates of the circumcenter of the triangle whose vertices are (A(5,−1),B(−1,5), and C(6,6)˙ Find its radius also.