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A O B is the positive quadrant of the...

`A O B` is the positive quadrant of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` in which `O A=a ,O B=b` . Then find the area between the arc `A B` and the chord `A B` of the ellipse.

A

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

B

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

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-AREAS OF BOUNDED REGIONS-Exercise
  1. Area of the region bounded by the curve y=2^(x),y=2x-x^(2),x=0 and x=2...

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  2. Area lying in the first quadrant and bounded by the circle x^(2)+y^(2)...

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  3. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^...

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  4. Using integration, find the area of the region bounded by the line x...

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  5. The area cut off from a parabola by any double ordinate is k time th...

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  6. Area between the curve y=4+3x-x^(2) and x-axis in square units , is

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  7. If A is the area between the curve y=sin x and x-axis in the interval...

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  8. If A is the area lying between the curve y=sin x and x-axis between x...

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  9. The area of the loop between the curve y=asinx and x-axis is (A) a (B)...

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  10. Area (in square units) of the region bounded by the curve y^(2)=4x,y...

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  11. If A1 is the area of the parabola y^2=4 ax lying between vertex and th...

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  12. The area of the figure bounded by y=sin x, y=cos x is the first quardr...

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  13. The area bounded by the curves y=xe^(x),y=xe^(-x) and the line x=1 is

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  14. The areas of the figure into which the curve y^(2)=6x divides the circ...

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  15. Find the area (in sq. unit) bounded by the curves : y = e^(x), y = e^(...

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  16. The area of the region bounded by the Y-"axis" y = "cos" x and y = "si...

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  17. The positive value of the parmeter 'a' for which the area of the figur...

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  18. The vlaue of m for which the area included between th curves y^(2)=4ax...

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  19. Area bounded by the curve y=x^3, the x-axis and the ordinates x = -2 ...

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  20. The area bounded by y=x^(2),y=[x+1], 0 le x le 2 and the y-axis is whe...

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