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The area of the closed figure bounded by...

The area of the closed figure bounded by `x=-1, y=0, y=x^(2)+x+1`, and
the tangent to the curve `y=x^(2)+x+1` at `A(1,3)` is

A

(a) `6/7` sq. unit

B

(b) `16/17` sq. unit

C

(c) `7/6` sq. unit

D

(d) `17/16` sq. unit

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The equation of tangent to the curve y=x^(2)+4x+1 at (-1, -2) is

    A
    `2x-y=0`
    B
    `2x+y-5=0`
    C
    `2x-y-1=0`
    D
    `x+y-1=0`

  • The area of the region bounded by x^(2)=16y,y=1,y=4 and x=0 in the first quadrant ,is

    A
    `(7)/(3)`
    B
    `(8)/(3)`
    C
    `(64)/(3)`
    D
    `(56)/(3)`

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