Saved Bookmarks
| 1. |
If `x=a^(2) cos3 theta and y=b^(2)sin3 theta`, thenA. `(x^(2))/(a)+(y^(2))/(b)=1`B. `((x^(2))/(a^(2)))^(1//3)+((y)/(b^(2)))^(1//3)=1`C. `((x^(2))/(a^(2)))^(2//3)+((y^(2))/(b^(2)))^(2//3)=1`D. `((x)/(a^(2)))^(2//3)+((y)/(b^(2)))^(2//3)=1` |
|
Answer» Correct Answer - D Given, `x=a^(2)cos^(3) theta and y=b^(2)sin^(3) theta`. `implies(x)/(a^(2))=cos^(3)theta and (y)/(b^(2))=sin^(3)theta` `implies ((x)/(a^(2)))^(2//3)=cos^(2)theta,((y)/(b^(2)))^(2//3)=sin^(2)theta`. `sin^(2)theta+cos^(2)theta=((x)/(a^(2)))^(2//3)+((y)/(b^(2)))^(2//3)` `:. ((x)/(a^(2)))^(2//3)+((y)/(b^(2)))^(2//3)=1` |
|