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q.1 find the locous of point of intersection of the tangents to the ellipse x2/a2 + y2/b2 =1if the difference of the concentric angles of their points of contct is 2alfha. prove that the locous of point of intersection of the straight lines tx/a - y/b + t = 0 and x/a+ ty/b-1= 0 where it is a parameter is an ellipse . prove also that they meet at the point whose eccentric angle is 2 tan-1 t. q3. find the middle point of the chord intercepted on the line 2x - y + 3 =0 by the ellipse x2 / 10 + y2 / 6 + 1.
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