Home
Class 12
MATHS
Find the value of k if the line 2y=5x+k ...

Find the value of k if the line 2y=5x+k is a tangent to the parabola `y^(2)=6x`

A

`(2)/(3)`

B

`(4)/(5)`

C

`(3)/(5)`

D

`(6)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- II|100 Videos

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PARABOLA

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|13 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

If the line x-y+k =0 is a tangent to the parabola x^(2) = 4y then k =

The line y=2x+k is a normal to the parabola y^(2)=4x then k=

Find the value of k if the line 3x-4y=k is a tangent to x^(2)-4y^(2)=5

If x+y+k=0 is a tangent to the parabola x^(2)=4y then k=

In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ,then k =

(i) Find the equations of the tangents to 9x^(2)+16y^(2)=144 , which makes equal inter­cepts on the coordinate axes. (ii) Find the value of k if 4x + y + k = 0 is a tangent to the ellipse x^(2) + 3y^(2) = 3

Show that the line 2x - y+12=0 is a tangent to the parabola y^(2) = 16x . Find the point of contact also.

Find the value of k if 4x+y+k=0 is a tangent to the ellipse x^2+3y^2=3 .

Find the value of k if x+ky-5=0 is a tangent to the ellipse 4x^2+9y^2=20

AAKASH SERIES-PARABOLA-EXERCISE- I
  1. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |

  2. The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

    Text Solution

    |

  3. Find the value of k if the line 2y=5x+k is a tangent to the parabola y...

    Text Solution

    |

  4. The equation of the tangent to the parabola y^(2)=8x and which is para...

    Text Solution

    |

  5. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

    Text Solution

    |

  6. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

    Text Solution

    |

  7. The locus of point of intersection of perpendicular tangents drawn to ...

    Text Solution

    |

  8. The point of intersection of tangents at the ends of Iatus rectum of t...

    Text Solution

    |

  9. The equation to the normal to the parabola x^(2) = 2y at (1, 2) is

    Text Solution

    |

  10. Assertion(A) : If the line x = 3y+k touches the parabola 3y^(2) = 4x t...

    Text Solution

    |

  11. The equation of the chord of the parabola y^(2)=2x having (1,1) as its...

    Text Solution

    |

  12. The point of intersection of the tangents at t(1) and t(2) to the para...

    Text Solution

    |

  13. If the tangents at t(1) and t(2) on y^(2)=4ax meet on the directrix th...

    Text Solution

    |

  14. If the tangents at and t(1) and t(2)= on y^(2)=4ax meets on its axis t...

    Text Solution

    |

  15. If the tangents at t(1) and t(2) on y^(2) = 4ax makes complimentary a...

    Text Solution

    |

  16. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

    Text Solution

    |

  17. If the normals at t(1) and t(2) on y^(2) = 4ax meet again on the para...

    Text Solution

    |

  18. Number of focal chords of the parabola y^(2)=9x whose length is less t...

    Text Solution

    |

  19. The point of intersection of normals to the parabola y^(2) = 4x at the...

    Text Solution

    |

  20. The ordinate of a point on the parabola y^(2) = 18x is one third of it...

    Text Solution

    |