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If the line cuts the ellipse at points whose eccentric angles differ by then find the value of .
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Question 1
Column 1,2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively.Column I, Column 2, Column 3I, , (i), , (P), II, , (ii), , (Q), III, , (iii), , (R), IV, , (iv), , (S), The tangent to a suitable conic (Column 1) at is found to be then which of the following options is the only CORRECT combination?(IV) (iii) (S) (b) (II) (iii) (R)(II) (iv) (R) (d) (IV) (iv) (S)Question 2
Column 1,2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively.Column I, Column 2, Column 3I, , (i), , (P), II, , (ii), , (Q), III, , (iii), , (R), IV, , (iv), , (S), If a tangent to a suitable conic (Column 1) is found to be and its point of contact is (8,16), then which of the followingoptions is the only CORRECT combination?(III) (ii) (Q) (b) (II) (iv) (R)(I) (ii) (Q) (d) (III) (i) (P)Question 3
The ellipse is inscribed in a rectangle whose sides are parallel to the coordinate axes. Another ellipse passing through the point (0, 4) circumscribes the rectangle The eccentricity of the ellipse is (b) (c) (d) Question 4
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) Stuck on the question or explanation?
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Question Text | If the line
cuts the ellipse
at points whose eccentric angles differ by
then find the value of
. |