The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point
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If any tangent to the ellipse a∘x2+b2y2=1
intercepts equal lengths l
on the axes, then find l˙
Prove that the area bounded by the circle x2+y2=a2
and the ellipse a2x2+b2y2=1
is equal to the area of another ellipse having semi-axis a−b
If the foci of an ellipse are (0,±1)
and the minor axis is of unit length, then find the equation of the ellipse. The axes of ellipse are the coordinate axes.
P is the point on the ellipse is16x2+9y2=1andQ is the corresponding point on the auxiliary circle of the ellipse. If the line joining the center C to Q meets the normal at P with respect to the given ellipse at K, then find the value of CK.
Which of the following can be slope of tangent to the hyperbola 4x2−y2=4?
1 (b) −3
(c) 2 (d) −23
Find the equation of the hyperbola satisfying the give conditions: Foci (0,± 13) the conjugate axis is of length 24
Find the coordinates of the focus, axis of the parabola ,the equation of directrix and the length of the latus rectum for x2=−9y
Find the equation of the hyperbola satisfying the given conditions: Foci (±35,0) the latus rectum is of length 8