A body is projected up the smooth incline plane having angle of inclination $\theta$ with the horizontal as shown in the figure. Find the $v > 0$ distance covered before stopping. (A) $\frac { \mathrm { u } ^ { 2 } } { 2 \mathrm { gsin } \theta }$ (B) $\frac { u ^ { 2 } } { 2 g \tan \theta }$ (C) $\frac { \mathrm { u } ^ { 2 } } { 2 \mathrm {~g} }$ (D) $\frac { u ^ { 2 } } { 2 g \cos \theta }$
Let $\mathrm { A } = \{ 1,2,3 , \ldots , 9 \} ; \mathrm { xRy }$ iff $\mathrm { x } - \mathrm { y }$ is multiple of 3 . $5 _ { 1 } : $ Number of elements in R is 36 $\mathcal { S } _ { 2 } : R$ is equivalence relation (A) $\mathrm { S } _ { 1 } \& \mathrm {~S} _ { 2 }$ both are correct (B) $\mathrm { S } _ { 1 }$ is correct but $\mathrm { S } _ { 2 }$ is not correct (C) $\mathrm { S } _ { 1 } \& \mathrm {~S} _ { 2 }$ both are incorrect (D) $\mathrm { S } _ { 2 }$ is correct but $\mathrm { S } _ { 1 }$ is not correct