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The area bounded by the curve y" "=" ...

The area bounded by the curve `y" "=" "x" "|" "x" "|` , x-axis and the ordinates `x" "=" "" "1` and `x" "=" "1` is given by (A) 0 (B) `1/3` (C) `2/3` (D) `4/3` [Hint : `y=x^2` if `x" ">" "0` and `y=-x^2` if `x" "<" "0` ].

A

0

B

`1/3`

C

`2/3`

D

`4/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS -OBJECTIVE TYPE QUESTIONS
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  2. Area of the region bounded by the curve y^2=" "4x , y-axis and the ...

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  3. Smaller area enclosed by the circle x^2+y^2=4and the line x + y = 2is...

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  4. Area lying between the curves y ^(2) =4x and y=2 is :

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  5. Area bounded by the curve y = x ^(2), the x-axis and the ordinates x ...

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  6. The area bounded by the curve y" "=" "x" "|" "x" "| , x-axis and th...

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  7. The area of the circle x^2+y^2=16exterior to the parabola y^2=6xis(A) ...

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  8. Find the area enclosed by the circle x^(2)+y^(2)=25

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  9. Find the area enclosed by the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.

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  10. The area of the region bounded by the curve y = x ^(2) and the line y ...

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  11. The area of the region bounded by the y-axis, y = cos x and y = sin x,...

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  12. The area of the region bounded by the curve x^(2)=4y and the straight ...

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  13. Area bounded by the curve y = f (x) and the lines x =a, =b and the x ...

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  14. The area enclosed by the : ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^...

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  15. Find the area enclosed by the circle x^2+y^2=a^2.

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  16. Find the area of the region bounded by the curve y^2= xand the lines ...

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  17. The area of the circle x ^(2) +y ^(2) =a ^(2) is :

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  18. The area between the curve y =x ^(2), x-axis and the lines x =0 and x ...

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  19. The area of the region bounded by the parabola y ^(2) =9x and the line...

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  20. The area bounded by the curve y =4 sin x, x-axis from x =0 to x = pi...

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