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The area bounded by the curve y = x^2+ 2...

The area bounded by the curve `y = x^2+ 2x + 1,` the tangent at `(1, 4)` and the y-axis is

A

1

B

.1/2

C

.1/3

D

.1/4

Text Solution

Verified by Experts

The correct Answer is:
C
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FIITJEE-AREA-Assignment Problems (Objective) Level - I
  1. The area bounded by y = f(x), x-axis and the line y = 1, where f(x)=1+...

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  2. If A denotes the area bounded by f (x)= |(sin x + cos x)/(x)| x axis, ...

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  3. The area bounded by the curve y = x^2+ 2x + 1, the tangent at (1, 4) a...

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  4. Let S(n) the area of the figure enclosed by a curve y = x^(3) (1 - x^(...

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  5. The area enclosed by [(|3x+4y|)/5]+[(|4x-3y|)/5]=3 is (where [.] denot...

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  6. The area of the smaller region bounded by the circle x^(2) + y^(2) =1 ...

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  7. Area bounded by the curves y = sin (pi x)/(2) and y = x^(3) is equal t...

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  8. The area defined by |2x + y| + |x - 2| le 4 in the x - y coordinate pl...

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  9. Area of the parabolic segment cut by the straight line y = 2 x + 3 off...

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  10. The area bounded by y = min {x - [x] - x, - x - [-x]} and the x axis i...

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  11. If a be the area bounded by y = (X^(2))/(1 + x^(4)) and y = (1)/(2) an...

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  12. The area bounded by y = 2-|2-x| and y=3/|x| is

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  13. The area between the curve y=2x^(4)-x^(2), the x-axis, and the ordinat...

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  14. Area of the region bounded by the curve {(x,y) : (x^(2))/(a^(2)) + (y^...

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  15. Find the area of the region lying inside x^2+(y-1)^2=1 and outside c^2...

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  16. The area of the smallar region in which the curve y = [(x^(3))/(100) +...

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  17. The area bounded by y = (sin x)/(x), x-axis and the ordinates x = 0, x...

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  18. If f(x) = a + bx + cx^(2) where c > 0 and b^(2) - 4ac < 0. Then the ar...

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  19. The area defined by |y| le e ^(|x|)-1/2 in cartesian co-ordinate syste...

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  20. The area defined by 2 le |X + y| + |x - y| le 4 is

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