Home
Class 12
MATHS
A line is drawn from a point P(x, y) on ...

A line is drawn from a point `P(x, y)` on the curve `y = f(x),` making an angle with the x-axis which is supplementary to the one made by the tangent to the curve at `P(x, y).` The line meets the x-axis at A. Another line perpendicular to it drawn from `P(x, y)` meeting the y-axis at B. If `OA = OB,` where `O` is the origin, the equation of all curves which pass through (`1, 1)` is

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

At what point of the curve y = x^2 does the tangent make an angle of 45^@C with the x-axis?

Find the equation of the tangent to the curve y = x^2 - x + 2 where it crosses the y-axis.

The point where the tangent to the curve y = x^2 - 4x + 5 is parallel to x-axis, is :

The point on the curve y^2=x , where the tangent makes an angle of pi/4 with x-axis is

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is

The tangent at a point P of a curve meets the y-axis at A, and the line parallel to y-axis at A, and the line parallel to y-axis through P meets the x-axis at B. If area of DeltaOAB is constant (O being the origin), Then the curve is

A normal is drawn at a point P(x , y) of a curve. It meets the x-axis and the y-axis in point A AND B , respectively, such that 1/(O A)+1/(O B) =1, where O is the origin. Find the equation of such a curve passing through (5. 4)

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. A line is drawn from a point P(x, y) on the curve y = f(x), making an ...

    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

    |