The area (in sq. units) in the first qua...

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

A

`14/3`

B

`187/24`

C

`37/24`

D

`8/3`

Verified by Experts

The correct Answer is:

C

JEE 2019
CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos
JEE 2019
CENGAGE PUBLICATION|Exercise Chapter 8|10 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
CENGAGE PUBLICATION|Exercise All Questions|541 Videos
LIMITS
CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

The area (in sq. units) bounded by the parabola y=x^2-1 , the tangent at the point (2,3) to it and the y-axis is

The area of the figure bounded by the parabola (y-2)^(2)=x-1, the tangent to it at the point with the ordinate y=3, and the x-axis is

The area (sq. units) of the figure bounded by the parabolas x= -2y^2" and " x=1-3y^2 is

The area ( in square unit ) in the first quadrant bounded by the parabolas y^(2) = 4x, y^(2) = 16x and the straight line x=9 is-

Find the area in the 1st quadrant, bounded by the parabola y=x^(2) , the straight line y=4 and the y-axis.

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the area lying in the first quadrant and bounded by the curve y=x^3 and the line y=4xdot

Find the area bounded by the parabola y^(2)=4ax , y-axis and the line y = 2a.

The area bounded by the parabola y^(2)=2x+1 and the line x-y=1 is

find the area of the region bounded by the parabola y=x^(2) , the line y=x+2 and the x-axis.