The area (in sq. untis) in the first quadrant bounded by the parabo...

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The area (in sq. untis) in the first quadrant bounded by the parabola, \( y=x^{2}+1 \), then tangent to it at the point \( (2,5) \) and the coordinate axes is :
PV
[JEE Main - 2019 (January)]
(a) \( \frac{8}{3} \)
(b) \( \frac{37}{24} \)
(c) \( \frac{187}{24} \)
(d) \( \frac{14}{3} \)
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