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JEE Math Practice Question

A line passing through the point $\mathrm{A}(-2,0)$, touches the parabola $\mathrm{P}: y^2=x-2$ at the point $B$ in the first quadrant. The area, of the region bounded by the line $A B$, parabola $P$ and the $x$-axis, is :

  1. A.3
  2. B.$\frac{7}{3}$
  3. C.$\frac{8}{3}$
  4. D.2

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