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The area of the region {(x,y)//x^(2)+y^(...

The area of the region `{(x,y)//x^(2)+y^(2)le1le x+y}` is

A

`(pi)/(4)+(1)/(2)`

B

`pi+1`

C

`(pi)/(4)-(1)/(2)`

D

`(pi)/(4)+(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-AREAS-EXERCISE - II
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  3. The area of the region {(x,y)//x^(2)+y^(2)le1le x+y} is

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  4. The area of the region R={(x,y)//x^(2)le y le x} is

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  5. If the regions A and B are given by A={(x,y)// : y gt x}B={(x,y):y lt ...

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  6. The area of the region bounded by a^(2)y^(2)=x^(2)(a^(2)-x^(2)) is

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  7. Let A(1) be the area of the parabola y^(2)=4ax lying between vertex an...

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  8. The area of the figure bounded by the curves y^(2)=2x+1andx-y-1=0 is

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  9. Statement-I: The sine and cosine curves intersect infinitely many tmes...

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  10. Statement-I: The area bounded by x=2 cos theta,y=3sin theta is 36pi sq...

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  11. A) Area of the figure bounded by y^(2)=9x and y=3x B) Area bounded b...

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  12. A) Area bounded by sqrt(x)+sqrt(y)=2 and coordinate axes B) Area bou...

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  13. Assertion (A) : The area bounded by y^(2)=8x and x^(2)=8y is (64)/(3) ...

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  14. The area bounded by the curves y=sqrt(x),2y-x+3=0, x-axis and lying in...

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  15. The area bounded by the curves x=-2y^(2) and x=1-3y^(2) is (in Sq. uni...

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  16. The area bounded by the curve y=(1)/(sqrt(x)) and the lines x = 4 and ...

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  17. The area under the curve y=sin2x+cos 2x between the ordinates x = 0, x...

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  18. The area between y=sinx, y=cos x and Y-axis is (in first quadrant)

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  19. The area (in square units) of the region enclosed by the two circles x...

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  20. The area bounded by the curve y=(x-1)(x-2)(x-3) and X-axis lying betwe...

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