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A curve C passes through origin and has ...

A curve C passes through origin and has the property that at each point `(x, y)` on it the normal line at that point passes through `(1, 0)`. The equation of a common tangent to the curve C and the parabola `y^2 = 4x` is

A

x=0

B

y=0

C

y= x+1

D

x+y+1 =0

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The correct Answer is:
A
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
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  9. If y= e^((k+1)x) is a solution of differential equation (d^2y)/(dx^2) ...

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  10. The differential equation (d^2y)/dx^2+x dy/dx+siny+x^2=0, is which of...

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  12. y=a e^(-1/x)+b is a solution of (dy)/(dx)=y/(x^2), then (a) ( b ...

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  13. Which one of the following is homogeneous function ?

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  14. The graph of the function y = f(x) passing through the point (0, 1) an...

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  15. (x^2y^3+xy)dy=dx

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  16. The equation of the curve passing through (3,4) and satisfying the dif...

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  17. The orthogonal trajectories of the system of curves y^2 =cx^3 are

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  18. The solution the differential equation (dy/dx)^2 - (dy/dx)(e^x+e^(-x))...

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  19. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

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  20. Let C be a curve such that the normal at any point P on it meets x-axi...

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