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The differential equation for which `sin^(-1) x + sin^(-1) y = c` is given byA. `sqrt(1-x^2)dx+sqrt(1-y^2)-dx=0`B. `sqrt(1-x^2)dy+sqrt(1-y^2)-dx=0`C. `sqrt(1-x^2)dy-sqrt(1-y^2)-dx=0`D. `sqrt(1-x^2)dx-sqrt(1-y^2)-dx=0` |
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Answer» Correct Answer - B Given , `sin^(-1)x+sin^(-1)y=c` `rArr (1)/(sqrt(1-x^2))+(1)/(sqrt(1-y^2))(dy)/(dx)=0` `rArr sqrt(1-x^2)dy+sqrt(1-y^2)dx=0` Which is required differential equation . |
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