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The equation of curve in which portion o...

The equation of curve in which portion of y-axis cutoff between origin and tangent varies as cube of abscissa of point of contact is

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The correct Answer is:
`2y +Kx^3 =cx`
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Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

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The equation of the curve which is such that the portion of the axis of x cut-off between the origin and tangent at any point is proportional to the ordinate of that point is

The equation of the curve which is such that the portion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is

The equation of the curve in which the portion of the tangent included between the coordinate axes is bisected at the point of contact, is

The curve such that the intercept on the X-axis cut-off between the origin, and the tangent at a point is twice the abscissa and passes through the point (2, 3) is

A curve is such that the intercept of the x-axis cut off between the origin and the tangent at a point is twice the abscissa and which passes through the point (1, 2). If the ordinate of the point on the curve is 1/3 then the value of abscissa is :

The equation of the curve such that the distance between the origin and the tangent at an arbitrary point is equal to the distance between the origin and the normal at the same point is

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MOTION-DIFFERENTIAL EQUATION -Exercise 3
  1. Find the curve for which any tangent intersects the y-axis at the poin...

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  2. Find the curve such that the area of the trapezium formed by the co-or...

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  3. Find the equation of the curve passing through the origin if the middl...

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  4. A perpendicular drawn from any point P of the curve on the x-axis meet...

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  5. The equation of curve in which portion of y-axis cutoff between origin...

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  6. Find the orthogonal trajectories for the given family of curves when ‘...

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  7. The population P of a town decreases at a rate proportional to the num...

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  8. It is known that the decay rate of radium is directly proportional to ...

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  9. Let the function ln f(x) is defined where f(x) exists for x geq 2 an...

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  10. Find the differentiable function which satisfies the equation f(x)= -i...

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  11. Find all functions f(x) defined on (-pi/2,pi/2) with real values and h...

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  12. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

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  13. A tank with a capacity of 1000 litres originally contains 100 gms of s...

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  14. (dy)/(dx)=y+int0^1 ydx given y=1 where x=0

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  15. Find the continuous function which satisfies the relation, int0^x t f(...

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  16. A curve passing through (1, 0) such that the ratio of the square of th...

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  17. The curve f(x) is given by

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  18. The curve g(x) is given by -

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  19. The value of int1^2(g(x) -f(x))dx is-

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  20. {:( " Column - I" , " Column - II") , ( "(A) A curve passing through...

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