Home
Class 12
MATHS
Find the equation of a curve passing thr...

Find the equation of a curve passing through the point (1.1) if the perpendicular distance of the origin from the normal at any point P(x, y) of the curve is equal to the distance of P from the x-axis.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Solved Examples|1 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Subjective Type Question|1 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a curve passing through the point (1,pi/4) if the slope of the tangent to the curve at any point P(x,y) is y/x-cos^2(y/x)

Find the equation of a curve passing through the point (–2, 3), given that the slope of the tangent to the curve at any point (x, y) is 2x/y^2

The perpendicular distance of the point P(4,3) from y-axis is

The perpendicular distance of the point P (3, 4) from the y-axis is :

Find the equation of a curve passing through the point (0, 0) and whose differential equation is y' = e^x sinx

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x, y) is equal to the sum of the coordinates of the point.

Find the equation of a curve passing through the point (1,1), if the tangent drawn at any point P(x,y) on the curve meets the coordinate axes at A and B such that P is the mid point of AB.

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the equation of a curve passing through the point (1.1) if the pe...

    Text Solution

    |

  2. If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y...

    Text Solution

    |

  3. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

    Text Solution

    |

  4. Let f:(0,oo)rarrR be a differentiable function such that f'(x)=2-(f(...

    Text Solution

    |

  5. Let y(x) be a solution of the differential equation (1+e^(x))y^(')+ye^...

    Text Solution

    |

  6. Let y(x) be a solution of the differential equation (1+e^(x))y'+ye^(x)...

    Text Solution

    |

  7. Solve the differential equation : y sqrt(1-x^2)dy-sqrt(1+y^2)dx=0

    Text Solution

    |

  8. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

    Text Solution

    |

  9. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

    Text Solution

    |

  10. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  11. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

    Text Solution

    |

  12. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  13. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  14. Differentiate the following w.r.t x (log x)^(cos x)

    Text Solution

    |

  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  16. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  17. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

    Text Solution

    |

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

    Text Solution

    |

  19. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

    Text Solution

    |

  20. Let the population of rabbits surviving at a time t be governed by t...

    Text Solution

    |

  21. At present, a firm is manufacturing 2000 items. It is estimated tha...

    Text Solution

    |