Find the sum of the focal distances of any point on the ellipse 9x2+16y2=144.
Find the equation for the ellipse that satisfies the given conditions:Length of minor axis 16, foci (0,±6).
The three points (−2,2)(9,−2),and(−4,−3) are the vertices of (a) an isosceles triangle (b) an equilateral triangle (c) a right-angled triangle (d) none of these
Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x2+4y2=36.
If two equal chords of a circle intersect within the circle, prove that the linejoining the point of intersection to the centre makes equal angles with the chords.
Find the equation of the circle passing through (0, 0) and making intercepts a and b on the coordinate axes.