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Find the area of the region bounded by: ...

Find the area of the region bounded by: the parabola `y=x^2` and the line `y = x`

A

`(1)/(6)` sq. units

B

`(1)/(3)` sq. units

C

`(1)/(2)` sq. units

D

None of these

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The correct Answer is:
A
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DISHA PUBLICATION-APPLICATION OF INTEGRALS-EXERCISE-1: CONCEPT BUILDER (TOPICWISE)
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  2. Which of the following is not the area of the region bounded by y= e^(...

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  3. Find the area of the region bounded by: the parabola y=x^2 and the li...

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  4. The area above the x-axis enclosed by the curves x^(2)-y^(2) = 0 and x...

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  5. Area bounded by the parabola y = x^(2) - 2x + 3 and tangents drawn to ...

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  6. The area between the curves y= x^(2) and y = (2)/(1 + x^(2)) is equal ...

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  7. If the area enclosed by y^(2) = 4ax and the line y=ax is (1)/(3) sq. u...

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  8. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

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  9. Find the area lying in the first quadrant and bounded by the curve y=x...

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  10. Area bounded by the circle x^(2) + y^(2)= 1 and the curve |x| + |y|=1 ...

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

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  12. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

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  13. Find the area bounded by the curves x^2+y^2=25 ,4y=|4-x^2|, and x=0 ab...

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

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  15. Using the method of integration find the area of the triangle ABC, ...

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  16. If y=f(x) makes positive intercepts of 2 and 1 unit on x and y-coordin...

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  17. The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded b...

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  18. The area bounded by the curve y^(2)(a^(2)+ x^(2))= x^(2)(a^(2)- x^(2...

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  19. Prove that area common to ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its au...

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  20. If C(1) equiv y = 1/(1+x^(2)) and C(2) equiv y =x^(2) / 2 be two curve...

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