JEE PYQ: Area Under Curves Question 33
Question 33 - 2019 (11 Jan Shift 2)
The area (in sq. units) in the first quadrant bounded by the parabola $y = x^2 + 1$, the tangent to it at the point $(2, 5)$ and the coordinate axes is:
(1) $\frac{8}{3}$
(2) $\frac{37}{24}$
(3) $\frac{187}{24}$
(4) $\frac{14}{3}$
Show Answer
Answer: (2) $\frac{37}{24}$
Solution
Tangent: $y = 4x - 3$. Required area $= \int_0^2 (x^2+1),dx - (4x-3) \text{ area} - \triangle AOD = \frac{37}{24}$.
BETA
