Home
Class 11
MATHS
The chord of contact of tangents from a ...

The chord of contact of tangents from a point P to a circle passes through Q. If `l_1` and `l_2`are the lengths of the tangents from P and Q to the circle ,then PQ is equal to

A

`(l_1+l_2)/2`

B

`(l_1-l_2)/2`

C

`sqrt(l_1^2+l_2^2)`

D

`2sqrt(l_1^2+l_2^2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

The chord of contact of tangents from a point P to a circle passes through Q, If l_1 and l_2 are the lengths of tangents from P and Q to the circle, then PQ is equal to :

The lengths of the two tangents from an external point to a circle are equal.

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter. (a)cuts the given circle orthogonally (b)touches the given circle externally (c)touches the given circle internally (d)none of these

The distance of the point from the centre of a circle with diameter of 16 cm is 17 cm. Then the length of the tangent from the point to the circle is

If a point P is 17 cm from the centre of a circle of radius 8 cm, then find the length of the tangent drawn to the circle from point P.

If the length of the tangent from an external point P to a circle of radius 10cm. Is 24cm, then the distance of P from the centre is

O is the centre of a circle. An external point P is 26 cm away from the centre of the circle and the length of the tangent (PT) drawn from the point P to the circle at T is 10 cm. Calculate the length of the diameter of the circle.

P is a point inside a circel: NO tangent of the circle will pass through P.

The lengths of the tangents from P(1,-1) and Q(3,3) to a circle are sqrt(2) and sqrt(6) , respectively. Then, find the length of the tangent from R(-1,-5) to the same circle.

If the chord of contact of tangents from a point (x_1,y_1) to the circle x^2+y^2=a^2 touches the circle (x-a)^2+y^2=a^2 , then the locus of (x_1,y_1) is :

PATHFINDER-CIRCLE-QUESTION BANK
  1. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |

  2. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

    Text Solution

    |

  3. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  4. The co-ordinates of two points P and Q are (x1,y1) and (x2,y2) and O i...

    Text Solution

    |

  5. Consider a family of circle which are passing through the point (-1,1)...

    Text Solution

    |

  6. If r1and r2 are the radii of smallest and largest circles which passes...

    Text Solution

    |

  7. The two circles which passes through (0,a) and (0,-a) and touch the li...

    Text Solution

    |

  8. Area of the triangle formed by the positive x-axis and the normal and ...

    Text Solution

    |

  9. if the distances from the origin to the centre of three circles x^2+y^...

    Text Solution

    |

  10. AB is a diameter of a circle and 'C' is any point on the circumference...

    Text Solution

    |

  11. The centres of a set of circles, each of radius 3 , lie on the circle ...

    Text Solution

    |

  12. A circle touches the x-axis and also touches the circle with centre (0...

    Text Solution

    |

  13. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  14. The difference between the radii of the largest and the smallest circl...

    Text Solution

    |

  15. An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...

    Text Solution

    |

  16. The equation of circumcircle of an equilateral triangle is x^2+y^2+2gx...

    Text Solution

    |

  17. The number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-...

    Text Solution

    |

  18. If the points (0,0),(1,0),(0,1) and (t,t) are concyclic, then t=

    Text Solution

    |

  19. If a circle of constant radius 3K passes through the origin and meets ...

    Text Solution

    |

  20. The equation of the circle which touches the axis of y at the origin a...

    Text Solution

    |