JEE Math Practice Question
Let $$\Delta$$ be the area of the region $$\left\{ {(x,y) \in {R^2}:{x^2} + {y^2} \le 21,{y^2} \le 4x,x \ge 1} \right\}$$. Then $${1 \over 2}\left( {\Delta - 21{{\sin }^{ - 1}}{2 \over {\sqrt 7 }}} \right)$$ is equal to
- A.$$2\sqrt 3 - {1 \over 3}$$
- B.$$2\sqrt 3 - {2 \over 3}$$
- C.$$\sqrt 3 - {4 \over 3}$$
- D.$$\sqrt 3 - {2 \over 3}$$
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