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                                                A  closed cone is placed with water half of its height  as shown below in fig 1 .  If it will completely revolved  then water goes down and height will change . So at what height from the base water will stay?       Find X.                                 

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find the locus of the mid points of the chord of the hyperbola x 2 /a 2 -y 2 /b 2 =1 which subtend a right angle at the origin.
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