Home
Class 12
MATHS
The curve whose sub tangent is twice the...

The curve whose sub tangent is twice the abscissa of the point of contact passing through (1,2) is

A

`y^(2)=4x`

B

`y^(2) = -4x`

C

`x^(2) = 4y`

D

`x^(2) = -4y`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - II|105 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

The tangent at any point f the curve x=at^3,y=at^4 divides the abscissa of the point of contact in the ratio

Angle between the tangent and radius drawn through the point of contact is ……

At any point on a curve, the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point. If the curve passes through (0, 1), then the equation of the curve is

The common point of the tangent and the circle is called the point of contact and the tangents is said to touch the circle at the common point. Observe the tangents to the circle in the figures given below. How many tangents can you obtain to the circle.in all?See the points of contact. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents.

The common point of the tangent and the circle is called the point of contact and the tangents is said to touch the circle at the common point. Observe the tangents to the circle in the figures given below. How many tangents can you obtain to the circle.in all?See the points of contact. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents. How many tangents can you draw to a circle at a point?

The common point of the tangent and the circle is called the point of contact and the tangents is said to touch the circle at the common point. Observe the tangents to the circle in the figures given below. How many tangents can you obtain to the circle.in all?See the points of contact. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents. How many tangents can you obtain to the circle in all?

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Practice Exercise
  1. The equation of curve passing through (1,3) whose slope at any point (...

    Text Solution

    |

  2. The equation of curve passing through (0,1) which is a solution of dif...

    Text Solution

    |

  3. The curve whose sub tangent is twice the abscissa of the point of cont...

    Text Solution

    |

  4. Equation of the curve passing through the point (a,1) and has length o...

    Text Solution

    |

  5. The D.E y(dy)/(dx)+x = a represents

    Text Solution

    |

  6. The solution of (ydx - xdy)/(y^(2)) = 0 represents a family of

    Text Solution

    |

  7. Solve : x dy= (y+x " cos"^(2)(y)/(x))dx

    Text Solution

    |

  8. Solve : x " sin"(y)/(x).(dy)/(dx)=y " sin"(y)/(x)-x

    Text Solution

    |

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

    Text Solution

    |

  10. The solution of (x^(2) - y^(2)) dx + 2xy dy = 0 is

    Text Solution

    |

  11. The substitution required to change equation (dy)/(dx) = (2x+3y+5)/(4x...

    Text Solution

    |

  12. To change (3x+4y+5) - (2x+3y+4)(dy)/(dx) = 0 into homogeneous equation...

    Text Solution

    |

  13. The solution of (dy)/(dx) = (x-2y + 3)/(2x-y + 5) is

    Text Solution

    |

  14. The integrating factor of the differential equation (dy)/(dx) (x log x...

    Text Solution

    |

  15. An equation (dy)/(dx) + p(x).y = q(x) is called

    Text Solution

    |

  16. The solution of (1+x^(2)) (dy)/(dx) + y = e^(Tan^(-1)x) is

    Text Solution

    |

  17. The integrating factor of c Cos x((dy)/(dx)) + (x Sin x + Cos x)y =...

    Text Solution

    |

  18. The solution of 2x(dy)/(dx) + y = 2x^(3) is

    Text Solution

    |

  19. The solution of (dy)/(dx) + (xy)/(1 + x^(2)) = (1)/(x (1 + x^(2))) is

    Text Solution

    |

  20. The solution of (dy)/(dx) -y tan x = e^(x) sec x is

    Text Solution

    |