The length of the major axis of the ellipse (5x−10)2+(5y+15)2=4(3x−4y+7)2 is
Find the equations of the hyperbola satisfying the given conditions :Foci (±5,0), the transverse axis is of length 8.
Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.x2=−16y
Shift the origin to a suitable point so that the equation y2+4y+8x−2=0 will not contain a term in y and the constant term.
In any triangle ABC, if the angle bisector of ∠Aand perpendicular bisector of BCintersect, prove that they intersect on the circumcircle of the triangle ABC
Find the equation of the parabola with vertex at origin, symmetric with respect to y-axis and passing through (2,−3)