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A straight line AB touches the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the ciecle x^(2)+y^(2)=r^(2), where b lt r lt a. PQ is a focal chord of the ellipse. If PQ is parallel is parallel to AB and cuts the circle in P and Q. find the of the pernepducular drawn from the centre of the ellipse to PQ hence. show that PQ=2b. |
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