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 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

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

Text Solution

Verified by Experts

The correct Answer is:
C
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 the tangents from P and Q to the circle ,then PQ is equal to

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

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.

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

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 :

The chord of contact of tangents drawn from a point on the circle x^2 + y^2 = a^2 to the circle x^2 + y^2 = b^2 touches the circle x^2 + y^2=c^2 Show that a, b, c are in G.P.

PATHFINDER-CIRCLE-QUESTION BANK
  1. The centre of the circle S = 0 lies on the line 2x -2y + 9 = 0 and S =...

    Text Solution

    |

  2. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

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

    Text Solution

    |

  4. If the chord of contact of tangents from a point (x1,y1) to the circle...

    Text Solution

    |

  5. The number of common tangents that can be drawn to the circles x^2+y^2...

    Text Solution

    |

  6. The circles whose equations are x^2+y^2+c^2=2ax and x^2+y^2+c^2-2by=0 ...

    Text Solution

    |

  7. The pole of a straight line with respect to the circle x^2+y^2=a^2 lie...

    Text Solution

    |

  8. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

    Text Solution

    |

  9. The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

    Text Solution

    |

  10. The locus of the centre of the circle which cuts orthogonally the circ...

    Text Solution

    |

  11. If one of the diameters of the circle x^2+y^2-2x-6y+6=0 is a chord to ...

    Text Solution

    |

  12. The equation of the circle passing through (2, 0) & (0, 4) and having ...

    Text Solution

    |

  13. If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 1...

    Text Solution

    |

  14. If P(2,8) is an interior point of the circle x^2+y^2-2x+4y-p=0, which ...

    Text Solution

    |

  15. A,B,C,D are the points of intersection with the coordinate axes of the...

    Text Solution

    |

  16. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

    Text Solution

    |

  17. Equation of chord AB of circle x^2+y^2=2 passing through P(2,2) such t...

    Text Solution

    |

  18. Two circles with radii a and b touch each other externally such that t...

    Text Solution

    |

  19. If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the ...

    Text Solution

    |

  20. The number of common tangents that can be drawn to the circles x^2+y^2...

    Text Solution

    |