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
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Find the equation for the ellipse that satisfies the given conditions: b=3,ae=4 centre at the origin; foci on the x- axis.
Find the slope of a common tangent to the ellipse a2x2+b2y2=1
and a concentric circle of radius r˙
The locus a point P(α,β) moving under the condition that the line y=αx+β is a tangent to the hyperbola a2x2−b2y2=1 is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle
The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.
Find the equation of the chord of the hyperbola 25x2−16y2=400
which is bisected at the point (5, 3).
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).
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˙
Find the equation of the parabola that satisfies the following conditions: Focus (6,0); directrix x=−6