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The tangent at any point (x , y) of a cu...

The tangent at any point `(x , y)` of a curve makes an angle `tan^(-1)(2x+3y)` with x-axis. Find the equation of the curve if it passes through (1,2).

A

`6x+9y+2=26e^(3(x-1))`

B

`6x-9y+2=26e^(3(x-1))`

C

`6x+9y-2=26e^(3(x-1))`

D

`6x-9y-2=26e^(3(x-1))`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. Solve the each of the following differential equation: (dy)/(dx)+y/...

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  2. Solve the differential equation: (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx...

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  3. Solution of x(dy)/(dx)+y=xe^(x), is

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  4. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

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  5. The integrating factor of the differential equation (dy)/(dx) + y = (1...

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  6. The degree of the differential equation corresponding to the family of...

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  7. The degree of the differential equation of all curves having normal of...

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  8. The differential equation of the family of ellipses having major and m...

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  9. Find the differential equation satisfying the relation sqrt(1+x^(2))+s...

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  10. The differential eqaution of the family of curve y^(2)=4a(x+a), is

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  11. Find the equation of the curve in which the subnormal varies as the sq...

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  12. The solution of differential equation xdy-ydx=0 represents

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  13. The equation of the curve whose subnormal is twice the abscissa, is

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  14. The solution of the differential equation (x)/(x^(2)+y^(2))dy = ((y)...

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  15. A curve passes through the point (0,1) and the gradient at (x,y) on it...

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

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  17. The differential equation for which sin^(-1) x + sin^(-1) y = c is giv...

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  18. The solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

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  19. The order of the differential equation of family of circles touching t...

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

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