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A curve is such that the area of the reg...

A curve is such that the area of the region bounded by the co-ordinate axes, the curve & the coordinate of any point on it is equal to the cube of that ordinate. The curve represents

A

a pair of straight lines

B

a circle

C

a parabola

D

am ellipse

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
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  7. Find the real value of m for which the substitution y=u^m will transfo...

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  8. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

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  10. A curve C passes through origin and has the property that at each poin...

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  11. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

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  12. The curve with the property that the projection of the ordinate on ...

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  13. The differential equation corresponding to the family of curves y=e^x ...

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  14. The equation to the orthogonal trajectories of the system of parabolas...

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  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

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  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

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  17. A curve passing through (2,3) and satisfying the differential equat...

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  18. Which one of the following curves represents the solution of the initi...

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