If the chord joining points P(α)andQ(β)
on the ellipse (a2x2)+(b2y2)=1
subtends a right angle at the vertex A(a,0),
then prove that tan(2a)tan(2β)=−a2b2˙
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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.25x2+100y2=1
The line joining the points (x,2x)and(3,5)
makes an obtuse angle with the positive direction of the x-axis. Then find the values of x˙
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are collinear, then find the value of x,
using slope method.
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