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    				| 1. | If the equation of family of ellipse is x^(2)sec^(2)theta+y^(2)cosec^(2)theta=1, where pi/4ltthetaltpi/2, then the locus of extremities of the latusrectum is | 
| Answer» `2y^(2)(1+x^(2))=(1-x^(2))^(2)` | |