An ellipse has OB
as the semi-minor axis, FandF′
as its foci, and ∠FBF′
a right angle. Then, find the eccentricity of the ellipse.
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If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80∘, then ∠POA is equal to
Find the equation of the ellipse whose vertices are (±13,0)and foci are (±5,0).
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+9y2=36
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If the line passing through (4,3)and(2,k)
is parallel to the line y=2x+3,
then find the value of k˙
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is equilateral, then prove that cosθ1+cosθ2+cosθ3=sinθ1+sinθ2+sinθ3=0.
A straight line is drawn through P(3,4)
to meet the axis of x
, respectively. If the rectangle OACB
is completed, then find the locus of C˙
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