Â·If the normals of the parabola y2=4x drawn at the end points of its latus rectum are tangents to the circle (x−3)2(y+2)2=r2 , then the value of r2 is
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Find the equation of tangents to the curve 4x2−9y2=1
which are parallel to 4y=5x+7.
Find the coordinates of the focus, axis of the parabola ,the equation of directrix and the length of the latus rectum for x2=−9y
The slopes of the common tanents of the ellipse 4x2+1y2=1
and the circle x2+y2=3
(d) none of these
The center of an ellipse is C
is any ordinate. Point A,A′
are the endpoints of the major axis. Then find the value of ANPN2A˙primeN˙
If the straight line xcosα+ysinα=p
touches the curve a2x2+b2y2=1
, then prove that a2cos2α+b2sin2α=p2˙
Find the equation for the ellipse that satisfies the given conditions: Centre at (0,0), major axis on the y-axis and passes through the points (3,2) and (1,6).
Find the equation of the hyperbola satisfying the given conditions: Foci (± 5,0) the transverse axis is of length 8
Find the center and radius of the circle x2+y2−4x−8y−45=0