Home
Class 11
MATHS
Tangents are drawn from the points on th...

Tangents are drawn from the points on the line `x−y−5=0` to `x^2+4y^2=4`, then all the chords of contact pass through a fixed point, whose coordinate are

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

Tangents are drawn to x^2+y^2=1 from any arbitrary point P on the line 2x+y-4=0 . The corresponding chord of contact passes through a fixed point whose coordinates are (a) (1/2,1/2) (b) (1/2,1) (c) (1/2,1/4) (d) (1,1/2)

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

If the tangents are drawn from any point on the line x+y=3 to the circle x^2+y^2=9 , then the chord of contact passes through the point. (a) (3, 5) (b) (3, 3) (c) (5, 3) (d) none of these

Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 . Find the equation to their chord of contact and the middle point of this chord of contact.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

From a variable point p on line 2x−y-1=0 pair of tangents are drawn to parabola x^2=8y then chord of contact passes through a fixed point.

If a , b , c are in A . P ., then the straight line ax + 2 by + c = 0 will always pass through a fixed point whose coordinates are _

If two normals to a parabola y^2 = 4ax intersect at right angles then the chord joining their feet pass through a fixed point whose co-ordinates are:

Tangents are drawn from the origin to curve y=sinxdot Prove that points of contact lie on y^2=(x^2)/(1+x^2)

Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find the length that these tangents will intercept on the line x=2.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The sum of the squares of the perpendiculars on any tangents to the ...

    Text Solution

    |

  2. A rod of length 12 cm moves with its ends always touching the coord...

    Text Solution

    |

  3. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

    Text Solution

    |

  4. If alpha-beta= constant, then the locus of the point of intersection o...

    Text Solution

    |

  5. Two circles are given such that one is completely lying inside the ...

    Text Solution

    |

  6. Find the equation of pair of tangents drawn from point (4, 3) to the h...

    Text Solution

    |

  7. For an ellipse x^2/9+y^2/4=1 with vertices A and A', tangent drawn at ...

    Text Solution

    |

  8. The first artificial satellite to orbit the earth was Sputnik I. It...

    Text Solution

    |

  9. Which of the following can be slope of tangent to the hyperbola 4x^2-y...

    Text Solution

    |

  10. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

    Text Solution

    |

  11. Tangents are drawm to the hyperbola 3x^(2)-2y^(2)=25 from the point (0...

    Text Solution

    |

  12. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |

  13. From the centre C of the hyperbola (x^(2))/(16)-(y^(2))/(9)=1, perpend...

    Text Solution

    |

  14. Find the common tangent to 9x^(2)-16y^(2)=144 and x^(2)+y^(2)=9.

    Text Solution

    |

  15. Find the equations of tangents to the curve 4x^(2)-9y^(2)=1 which are ...

    Text Solution

    |

  16. Find the equation of the locus of the middle points of the chords of ...

    Text Solution

    |

  17. Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y...

    Text Solution

    |

  18. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

    Text Solution

    |

  19. A triangle has its vertices on a rectangular hyperbola. Prove that the...

    Text Solution

    |

  20. From any point on any directrix of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |