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    				| 1. | If `xprop y^(2) and y= 2a when x=a,` then find the relation between x and y . | 
| Answer» `xprop y^(2) rArr x =k.y^(2) .....(1) (when k ne0="variation constant")` If x =a , y=2a , `therefore ` from (1) we get , a =k =`(2a)^(2)` `rArr a=l.4a^(2)rArr k=(a)/(4a)^(2)=(1)/(4a)` `therefore` from (1) we get , x `1/4ay^(2) rArr y^(2) `=4ax. Hence the required relation between x and y is `y^(2) ` = 4ax. | |