Find the equation of the ellipse (referred to its axes as the axes of xandy
, respectively) whose foci are (±2,0)
and eccentricity is 21
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Express the polar equation r=2cosθ in rectangular coordinates.
Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0,±5).
Given that A(1,1)
are two points and D
is a point on AB
produced such that AD=3AB˙
Find the coordinates of D˙
Find the equation of the circle passing through the points (2,3)and (−1,1)and whose centre is on the line x−3y−11=0.
Find the equation of the circle with centre : (−2,3)and radius 4
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse 25x2+9y2=1
PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the length TP.
If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices ofthe quadrilateral, prove that it is a rectangle