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A curve y= f(x) passes through the origi...

A curve y= f(x) passes through the origin. Through any point (x,y) on the lines are drawn paralled to the coordinate axes. If the curve divides the area formed by these lines and coordinate axes in the ratio m:n. Then the equation of curve is

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The correct Answer is:
`y=c^(m//n)`
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ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A curve y= f(x) passes through the origin. Through any point (x,y) on ...

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  2. Area of the region {(x,y) in R^(2):ygesqrt(|x+3|),5ylex+9le15} is eq...

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  3. Let F(x)=int(x)^(x^2+pi/2) 2 cos^(2)dt for all x in R and f:[0,1/2] to...

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  4. The common tangents to the circle x^2=y^2=2 and the parabola y^(2)=8x ...

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  5. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

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  6. In Δ PQR, right-angled at Q, PR + QR = 30 cm and PQ = 10 cm. Determine...

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  7. Let f:[-1,2]->[0,oo) be a continuous function such that f(x)=f(1-x)for...

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  8. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

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  9. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

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  10. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

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  11. Find the product of (x - 4)(x - 7)

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  12. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  13. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  14. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

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  15. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

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  16. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

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  17. The area (in sq. units) of the quadrilateral formed by the tangents ...

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  18. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

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  19. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

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  20. The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and ...

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  21. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

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