If the normal at P(2,233) meets the major axis of ellipse 16x2+9y2=1 at Q , and S and S′ are the foci of the given ellipse, then find the ratio SQ:SprimeQ˙
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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.4x2+25y2=1
Find the locus of the middle point of the portion of the line xcosα+ysinα=p
which is intercepted between the axes, given that p
Two tangents TP
are drawn to a circle with centre O
from an external point T
. Prove that ∠PTQ=2∠OPQ
Given that P(3,1),Q(6.5),
points such that the angle PQR
is a right
angle and the area of RQP
is 7, find
the number of such points R˙
Find the locus of a point whose distance from (a, 0) is equal to its distance from the y-axis.
Find the equation of the parabola with vertex at (0, 0) and focus at (0, 2).
having vertices A(acosθ1,asinθ1),B(acosθ2asinθ2),andC(acosθ3,asinθ3)
is equilateral, then prove that cosθ1+cosθ2+cosθ3=sinθ1+sinθ2+sinθ3=0.
Find the equations of the hyperbola satisfying the given conditions :Foci (±4,0), the latus rectum is of length 12