Let be the area of the region \(x,y)∈R^2:x^2+y^2≤21, y^2≤4x,x≥1\. Then (1 / 2)(Δ-21sin^-1⁡(2 / sqrt7)) is equal to

Step-by-step mathematical solution available.

Let be the area of the region {\{(x,y)∈R^2:x^2+y^2≤21,... | Area of Bounded Region (Mathematics) | DivineJEE

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Mathematics

Let be the area of the region

{\{(x,y)∈R^2:x^2+y^2≤21, y^2≤4x,x≥1}\}

. Then

\frac{1}{2}(Δ-21sin^{-1}⁡\frac{2}{\sqrt7})

is equal to

\sqrt3 - \frac{2}{3}

2\sqrt3-\frac{2}{3}

2\sqrt3-\frac{1}{3}

\sqrt3-\frac{4}{3}

Correct Answer:

\sqrt3-\frac{4}{3}

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