Home
Class 11
MATHS
The focal chord of y^(2)=16x is tangent ...

The focal chord of `y^(2)=16x` is tangent to `(x-6)^(2)+y^(2)=2`.
Then the possible value of the square of slope of this chord is __________ .

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If a focal chord of y ^(2)=16x is a tangent to (x-6)^(2) +y^(2) =2,. then the possible values of the slopes of the chord are-

The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the equation of the directrix.

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

If PQ is the focal chord of parabola y=x^(2)-2x+3 such that P-=(2,3) , then find slope of tangent at Q.

The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the origin an angle equal to

The straight line x + y = a will be a tangent to the ellipse (x^(2))/(9) + (y^(2))/(16) = 1 if the value of a is -

The focal chord of the parabola y^(2)=4ax makes an angle theta with its aixs. Show that the length of the chord will be 4acosec^(2)theta .

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is

If the length of focal chord of y^2=4a x is l , then find the angle between the axis of the parabola and the focal chord.

The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The equation of the common tangent touching the circle (x-3)^2+y^2=9 ...

    Text Solution

    |

  2. At what point on the parabola y^2=4x the normal makes equal angle with...

    Text Solution

    |

  3. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2. Then t...

    Text Solution

    |

  4. The locus of the midpoint of the segment joining the focus to a moving...

    Text Solution

    |

  5. Show that the curve whose parametric coordinates are x=t^(2)+t+l,y=t^(...

    Text Solution

    |

  6. Statement 1: The line y=x+2a touches the parabola y^2=4a(x+a) Stateme...

    Text Solution

    |

  7. Consider a circle with its centre lying on the focus of the parabola, ...

    Text Solution

    |

  8. Normal drawn to y^2=4a x at the points where it is intersected by the...

    Text Solution

    |

  9. The radius of the circle touching the parabola y^2=x at (1, 1) and hav...

    Text Solution

    |

  10. Maximum number of common normals of y^2=4ax and x^2=4by is

    Text Solution

    |

  11. If two different tangents of y^2=4x are the normals to x^2=4b y , then

    Text Solution

    |

  12. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

    Text Solution

    |

  13. A ray of light travels along a line y=4 and strikes the surface of cur...

    Text Solution

    |

  14. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

    Text Solution

    |

  15. A line L passing through the focus of the parabola y^2=4(x-1) intersec...

    Text Solution

    |

  16. The ratio in which the line segement joining the points (4,-6) and (3,...

    Text Solution

    |

  17. If (a , b) is the midpoint of a chord passing through the vertex of th...

    Text Solution

    |

  18. A water jet from a fountain reaches its maximum height of 4 m at a dis...

    Text Solution

    |

  19. The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...

    Text Solution

    |

  20. A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2...

    Text Solution

    |