jee-advanced 2003 Q8

jee-advanced · India · screening Sine and Cosine Rules Find a side or angle using the sine rule
8. If the angles of a triangle are in the ratio $4 : 1 : 1$, then the ratio of the longest side to the perimeter is:
(a) $\sqrt { } 3 : ( 2 + \sqrt { } 3 )$
(b) $1 : 6$
(c) $1 : 2 + \sqrt { } 3$
(d) $2 : 3$
The area of the region in the first quadrant that is bounded by the curves $y = \sqrt { x } , x = 2 y + 3$ and the $x$-axis is
8. If the angles of a triangle are in the ratio $4 : 1 : 1$, then the ratio of the longest side to the perimeter is:\\
(a) $\sqrt { } 3 : ( 2 + \sqrt { } 3 )$\\
(b) $1 : 6$\\
(c) $1 : 2 + \sqrt { } 3$\\
(d) $2 : 3$\\