Class 11

Math

Co-ordinate Geometry

Conic Sections

Find the foci of the ellipse $25(x+1)_{2}+9(y+2)_{2}=225.$

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Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.$y_{2}=12x$ $x_{2}=−16y$$y_{2}=10x$

Find the locus of the point of intersection of lines $xcosα+ysinα=a$ and $xsinα−ycosα=b(α$ is a variable).

Find the equation of the circle with centre : (1, 1) and radius $2 $

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.$16x_{2} +9y_{2} =1$

The equation of a curve referred to a given system of axes is $3x_{2}+2xy+3y_{2}=10.$ Find its equation if the axes are rotated through an angle $45_{0}$ , 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 $(AreaofABC)(AreaofDBC) =21 ˙$

Find the equation of the circle with centre :(0, 2) and radius 2