Home
Class 12
MATHS
Given that the slope of the tangent to a...

Given that the slope of the tangent to a curve ` y = f(x) ` at any point ` (x, y )` is `(2y )/ ( x ^ 2 )`. If the curve passes through the centre of the circle ` x ^ 2 + y ^ 2 - 2 x - 2y = 0 ` , then its equation is :

A

`x log _e |y| =2 (x-1)`

B

`x^2 log _(e) |y|=-2 (x-1)`

C

` x bg _(e) |y| =x-1`

D

` x log _(e) |y|=-2 (x-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|11 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the tangent to the curve y = x^3- x at x = 2 .

Find the slope of the tangent to the curve y=(x-1)/(x-2), x!=2 at x= 10 .

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is.

Find slope of tangent to the curve x^2 +y^2 = a^2/2

The slope of the tangent to the curve y=x^(3) -x +1 at the point whose x-coordinate is 2 is

Find the slope of the tangent to curve y=x^3-x+1 at the point whose x-coordinate is 2.

Slope of the tangent to the curve at P(x,y) is given by (3y + 2x + 4)/(4x + 6y+ 5) . If the curve passes through (0, -1) , find its equation

Find slope of tangent to the curve if equation is x^2 + y^2 = 9

Find the slope of the tangent to the curve y=x^3-3x+2 at the point whose x-coordinate is 3.

Find the slope of the tangent to the curve y=x^3-3x+2 at the point whose x-coordinate is 3.

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE MAIN (ARCHIVE )
  1. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

    Text Solution

    |

  2. Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...

    Text Solution

    |

  3. If y = y(x) is the solution of the differential equation, x dy/dx+2y=x...

    Text Solution

    |

  4. Let f : [0, 1]toR be such that f(xy)=f(x)xxf(y) for all x, y in [0,1]"...

    Text Solution

    |

  5. If dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "...

    Text Solution

    |

  6. Let f be differentiable function such that f'(x)=7-3/4(f(x))/x,(xg...

    Text Solution

    |

  7. The curve amongst the family of curves, represented by the differenti...

    Text Solution

    |

  8. The solution of the differential equation dy/dx=(x-y)^2," when " y(1)=...

    Text Solution

    |

  9. If y(x) is the solution of the differential equation ( dy )/( dx...

    Text Solution

    |

  10. If a curve passes through the point (1, -2) and has slope of the tange...

    Text Solution

    |

  11. Let y = y(x) be the solution of the differential equation x dy/dx+y=xl...

    Text Solution

    |

  12. Let y=y(x)be the solution of the differential equation, (x^(2)+1)^(2)...

    Text Solution

    |

  13. Given that the slope of the tangent to a curve y = f(x) at an...

    Text Solution

    |

  14. If cos x (dy)/(dx) - y sin x = 6x, (0 lt x lt (pi)/(2)) and y ((pi)/(3...

    Text Solution

    |

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

    Text Solution

    |

  16. Let y=y(x) be the solution of the differential equation, dy/dx+y tan...

    Text Solution

    |

  17. If y=y(x) is the solution of the differential equation (dy)/(dx) =(tan...

    Text Solution

    |

  18. Consider the differential equation, y^(2)dx+(x-1/y)dy=0. If value of y...

    Text Solution

    |

  19. The general solution of the differential equation (y^(2)-x^(3))dx-xyd...

    Text Solution

    |

  20. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |