Find the foci of the ellipse 25(x+1)2+9(y+2)2=225.
Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.y2=12x x2=−16yy2=10x
Find the locus of the point of intersection of lines xcosα+ysinα=a and xsinα−ycosα=b(α is a variable).
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.16x2+9y2=1
The equation of a curve referred to a given system of axes is 3x2+2xy+3y2=10. Find its equation if the axes are rotated through an angle 450 , the origin remaining unchanged.
Find the equation of the parabola with vertex at origin, symmetric with respect to y-axis and passing through (2,−3)
Four points A(6,3),B(−3,5),C(4,−2) and D(x,2x) are given in such a way that (AreaofABC)(AreaofDBC)=21˙