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The differential equation of family of c...

The differential equation of family of curves whose tangent form an angle of `pi/4` with the hyperbola `xy=C^2` is

A

`(dy)/(dx)=(x^(2)+c^(2))/(x^(2)-C^(2))`

B

`(dy)/(dx)=(x^(2)-C^(2))/(x^(2)+C^(2))`

C

`(dy)/(dx)=-(C^(2))/(x^(2))`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The differential equation y(dy)/(dx)+x=C represents

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  2. The differential equation of displacement of all "Simple harmonic moti...

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  3. The differential equation of family of curves whose tangent form an an...

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  4. The differential equation of all parabolas whose axis are parallel t...

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  5. Find the curve for which the length of normal is equal to the radius v...

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  6. Differential equation of all parabolas having their axes of symmetry c...

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  7. The equation of a curve passing through (2,7/2) and having gradient...

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  8. The equation of the curves through the point (1, 0) and whose slope...

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  9. about to only mathematics

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  10. A particle moves in a straight line with a velocity given by ( dx) /(...

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  11. If (dy)/(dx)=e^(-2 y)and y=0 "when" x=5 then fiind the value of x when...

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  12. Find the equation of a curve passing through origin and satisfying the...

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  13. The slope of the tangent at (x , y) to a curve passing through (1,p...

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  14. If phi (x)=phi '(x) and phi(1)=2, then phi(3) equals

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  15. about to only mathematics

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  16. The curve for which the slope of the tangent at any point is equal to ...

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  17. The curve in the first quadrant for which the normal at any point (...

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  18. The function f(theta)=d/(dtheta)int0^theta(dx)/(1-costhetacosx) satisf...

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  19. The differential equation of all ellipses centred at the origin is

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  20. The differential equation of the curve for which the initial ordina...

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