Home
Class 12
MATHS
The equation of the curve, slope of whos...

The equation of the curve, slope of whose tangent at any point (h, k) is 2k/h and which passes through the point (1, 1) is

A

`x^(2) = y`

B

`y^(2) = x`

C

`x^(2) = 2y`

D

`y^(2) = 2x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)|17 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - D (Linked Comprehension Type Questions))|10 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Competition Level Questions|35 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

What is the equation of the curve whose slope any point is equal to 2x and which passes through the origin?

Show that the equation of the curve whose slope at any point is equal to y + 2x and which passes through the origin is y = 2(e^(x) - x-1) .

Show that the equation of the curve whose slope at any point is equal to y+2x and which passes through the origin is y+2(x+1)=2e^(2x)

show that the equation of the curve whose slope at any point is equal to y+2x and which passes through the origin is y+2(x+1)=2e^(2x)

Find the equation of the circle whose centre is (h, k) and which passes through the point (p, q) .

A curve has a property that the slope of the tangent at a point (x, y) is (y)/(x + 2y^(2)) and it passes through (1, 1). Find the equation of the curve.

AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
  1. The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(...

    Text Solution

    |

  2. The solution of the differential equation ydx+ (x +x^2 y) dy =0 is

    Text Solution

    |

  3. The family whose x and y intercepts of a tangent at any point are resp...

    Text Solution

    |

  4. The solution of the equation y' = cos (x-y) is

    Text Solution

    |

  5. Solution of y dx - x dy = x^(2)ydx is

    Text Solution

    |

  6. The equation of the curve, slope of whose tangent at any point (h, k) ...

    Text Solution

    |

  7. The second order differential equation is

    Text Solution

    |

  8. The order of the differential equation whose general solution is y = (...

    Text Solution

    |

  9. The real value of n for which substitutor transform differential equat...

    Text Solution

    |

  10. The equation of curve in which portion of y-axis cutoff between origin...

    Text Solution

    |

  11. A curve y = f(x) passes through point P(1,1). The normal to curve at p...

    Text Solution

    |

  12. Solve the following differential equation: tany(dy)/(dx)=sin(x+y)+sin(...

    Text Solution

    |

  13. For solving dy/dx = 4x +y +1, suitable substitution is

    Text Solution

    |

  14. A continuously differentiable function phi(x) in (0,pi) satisfying y'=...

    Text Solution

    |

  15. Solve (1+e^((x)/(y)))dx + e^((x)/(y)) (1-(x)/(y))dy = 0

    Text Solution

    |

  16. Order of the differential equation of the family of all concentric cir...

    Text Solution

    |

  17. The number of solutions of y'=(y+1)/(x-1),y(1)=2 is

    Text Solution

    |

  18. The differential sin^(-1) x + sin^(-1) y = 1, is

    Text Solution

    |

  19. The solution of ((dy)/(dx))^(2) + (2x + y) (dy)/(dx) + 2xy = 0, is

    Text Solution

    |

  20. For x in x != 0, if y(x) differential function such that x int1^x y(t...

    Text Solution

    |