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

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - D (Linked Comprehension Type Questions))|11 Videos

  • DIFFERENTIAL EQUATIONS

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

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

The equation of the curve whose slope is given by (dy)/(dx)=(2y)/x ; x >0,\ y >0 and which passes through the point (1,1) is

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^(x)dot

Prove that the equation of a curve whose slope at (x,y) is -(x+y)/x and which passes through the point (2,1) is x^2+2xy=8

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.

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

Find the equation of the curve such that the portion of the x-axis cut off between the origin and the tangent at a point is twice the abscissa and which passes through the point (1,2).

If a curve passes through the point (1, -2) and has slope of the tangent at any point (x,y) on it as (x^2-2y)/x , then the curve also passes through the point

The equation of the curve for which the slope of the tangent at any point is given by (x+y+1)((dy)/(dx))=1 is (where, c is an arbitrary constant)

The equation of the curve satisfying the differential equation Y_2 ( x^2 +1) = 4 xy _1 , passing through the point (0, – 4) and having slope of tangent at x = 0 as 4 is:

The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point(4,3). The equation of the curve is:

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
  1. The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

    Text Solution

    |

  2. Solve the following differential equation: (1+x^2)(dy)/(dx)+y=e^tan^((...

    Text Solution

    |

  3. ydx+(x+x^(2)y)dy=0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Solution of y dx – x dy = x^2 ydx is:

    Text Solution

    |

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

    Text Solution

    |

  8. Which of the following is a second order differential equation

    Text Solution

    |

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

    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 the curv...

    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 (dy)/(dx)=(y+1)/(x-1),"Then 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 R, x != 0, if y(x) differential function such that x int1^x ...

    Text Solution

    |