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If are the eccentric angles of the extremities of a focal chord of an ellipse, then prove that the eccentricity of the ellipse is
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Question 2
A line passing through origin O(0,0) interescts the two concentrric circles of radii a and b at P and Q , respectively. If lines parallel to x-axis and y-axis through Q and P respectively, meet at poin R, then find the locus of R. Question 3
PARAGRAPH Let be the circle in the -plane defined by the equation (For Ques. No 15 and 16)Let and be the chords of passing through the point and parallel to the x-axis and the y-axis, respectively. Let be the chord of passing through and having slope . Let the tangents to at and meet at , the tangents to at and meet at , and the tangents to at and meet at . Then, the points and lie on the curve(b) (c) (d) Question Text | If are the eccentric angles of the extremities of a focal chord of an ellipse, then prove that the eccentricity of the ellipse is |