Home
Class 12
MATHS
The equation of a curve passing through ...

The equation of a curve passing through `(2, 7//2)` and having gradient `1 - (1)/(x^(2))at (x,y)` is

A

`y = x^(2)+x+1`

B

`xy = x^(2)+x+1`

C

xy = x+1

D

`xy = x^(2)+1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos
  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

The equation of the line passing through (-1 , -2) and having a slope of 4/7 is

The equation of the line passing through (1, 2) and perpendicular to x+y+7=0 is :

Find the equation of line passing through (4, 2) and parallel to the line 5x-7y+11=0

The equation of the pair of lines passing through (0,1) and parallel to 2 x^(2)+5 x y+3 y^(2)+6 x+7 y+4=0 is

Equation of the line passing through (1, 2) and parallel to the line y=3x-1 is :

Find the equation of a curve passing through (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)

The equation to the pair of lines passing through (1,-1) and parallel to the pair of lines x^(2)-7 x y+12 y^(2)=0 is

The equation of the circle passing through the point (1, 1) and the point of intersection of: x^2+y^2+13x-3y=0 and 2x^2+2y^2+4x -7y-25=0 is :

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. A curve passes through the point (2a,a) and at any point the sum of ca...

    Text Solution

    |

  2. If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

    Text Solution

    |

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

    Text Solution

    |

  4. The differential equation of the family of hyperbolas with asymptotes ...

    Text Solution

    |

  5. A solution of dy/dx = (x+y)/x is

    Text Solution

    |

  6. Solution of dy/dx = y/(x+y) is

    Text Solution

    |

  7. Solution of dy/dx = (x+Y)/(x-y) is

    Text Solution

    |

  8. A population grows at the rate of 5% per year. How long does it take f...

    Text Solution

    |

  9. In a bank, principle p increases continuously at the rate of 5% per ye...

    Text Solution

    |

  10. The rate of increase of bacteria in a culture proportional to the numb...

    Text Solution

    |

  11. The degree of the differential equation ((d^(2)y)/dx^(2))^(3) + ((dy)/...

    Text Solution

    |

  12. The order of the differential equation 2x^(2) (d^(2)y)/dx^(2) - 3 dy/d...

    Text Solution

    |

  13. The number of arbitary constants in the general solution of a differe...

    Text Solution

    |

  14. The number of arbitary constants in the particular solution of a diff...

    Text Solution

    |

  15. Which of the following differential equations has y=x as one of its pa...

    Text Solution

    |

  16. Which of the following differential equations has y = c(1)e^(x) + c(2)...

    Text Solution

    |

  17. The general solution of the differential equation dy/dx = e^(x+y) is

    Text Solution

    |

  18. A homogeneous differential equation of the from (dx)/(dy) = h((x)/(y))...

    Text Solution

    |

  19. Which of the following is a homogeneous differential equation?

    Text Solution

    |

  20. The integrating factor of the differential equation x dy/dx-y= 2x^(2) ...

    Text Solution

    |