Let P(6,3) be a point on the hyperbola parabola a2x2−b2y2=1If the normal at the point intersects the x-axis at (9,0), then the eccentricity of the hyperbola is
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
A hyperbola having the transverse axis of length 2sinθ
is confocal with the ellipse 3x2+4y2=12
. Then its equation is
If the sum of the slopes of the normal from a point P to the hyperbola xy=c2 is equal to λ(λ∈R+) , then the locus of point P is (a)x2=λc2 (b) y2=λc2
(c)xy=λc2 (d) none of these
The lines parallel to the normal to the curve xy=1
are the foci of a hyperbola passing through the origin, then
From the center C
of hyperbola a2x2−b2y2=1
, perpendicular CN
is drawn on any tangent to it at the point P(asecθ,btanθ)
in the first quadrant. Find the value of θ
so that the area of CPN
If the two intersecting lines intersect the hyperbola and neither of them is a tangent to it, then the number of intersecting points are
1 (b) 2 (c) 3 (d) 4
If the base of a triangle and the ratio of tangent of half of base angles are given, then identify the locus of the opposite vertex.
Tangents are drawn to the hyperbola 3x2−2y2=25
from the point (0,25)˙
Find their equations.