Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length 27 on y-axis is (are)
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are two foci of ellipse 16x2+25y2=400andPSQ
is a focal chord such that SP=16,
then find SprimeQ˙
Find the area of the greatest isosceles triangle that can be inscribed in the ellipse (a2x2)+(b2y2)=1
having its vertex coincident with one extremity of the major axis.
Find the equation of an ellipse whose axes are the x-and y-axis and whose one focus is at (4,0) and eccentricity is 4/5.
The coordinates of the vertices BandC
of a triangle ABC
are (2, 0) and (8, 0), respectively. Vertex A
is moving in such a way that 42tanB2tanC=1.
Then find the locus of A
Find the equation of a circle with centre (2,2) and passes through the point (4,5).
Find the equation of the hyperbola satisfying the give conditions: Foci (±4,0) the latus rectum is of length 12
touches the ellipse a2x2+b2y2=1
, then find the eccentric angle θ
of point of contact.
If the chords of contact of tangents from two poinst (x1,y1) and (x2,y2) to the ellipse a2x2+b2y2=1 are at right angles, then find the value of y1y2x1x2˙