Home
Class 11
MATHS
The distance between the chords of conta...

The distance between the chords of contact of the tangent to the circle `x^2+y^2+2gx+2fy+c=0` from the origin and the point (g, f) is

A

`g^2+f^2`

B

`1/2(g^2+f^2+c)`

C

`1/2(g^2+f^2+c)/sqrt(g^2+f^2)`

D

`1/2(g^2+f^2-c)/sqrt(g^2+f^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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 length of the tangent of the circle x^2+y^2-2x-y -7 = 0 from the point (-1,-3) is

The co-ordinates of the point on the circle x^2+y^2-12x+30=0 which is farthest from the origin are

Find the angle between the two tangents from the origin to the circle (x-7)^2+(y+1)^2=25

The distance between the origin and the normal to the curve y=e^(2x)+x^2 at the point x = 0

Find the area of an equilateral triangle inscribed in the circle x^2 + y^2 + 2gx + 2fy + c = 0

The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from the origin in (a). x=0 (b) x=y (c) y=0 (d) x+y=0

If the area of the quadrilateral by the tangents from the origin to the circle x^2+y^2+6x-10 y+c=0 and the radii corresponding to the points of contact is 15 , then the value of c is (a) 9 (b) 4 (c) 5 (d) 25

The chords of contact of the pair of tangents drawn from each point on the line 2x + y=4 to the circle x^2 + y^2=1 pass through the point (h,k) then 4(h+k) is

If the chord of contact of the tangents drawn from the point (h , k) to the circle x^2+y^2=a^2 subtends a right angle at the center, then prove that h^2+k^2=2a^2dot

Find the locus of the mid points of the chords of the circle x^2 + y^2 -2x -6y - 10 = 0 which pass through the origin.

PATHFINDER-CIRCLE-QUESTION BANK
  1. A line meets the co-ordinate axes in A and B. A circle is circumscribe...

    Text Solution

    |

  2. If the curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 inters...

    Text Solution

    |

  3. The distance between the chords of contact of the tangent to the circl...

    Text Solution

    |

  4. The locus of the centre of a circle radius 2 which rolls on the outsid...

    Text Solution

    |

  5. If in a triangleABC (whose circumcentre is at origin), alesinA , then ...

    Text Solution

    |

  6. The point ([P + 1], [P]), (where [.] denotes the greatest integer func...

    Text Solution

    |

  7. Find the equation of the circle whose diameter is the line joining the...

    Text Solution

    |

  8. The circle x^2 + y^2 - 8x + 4y +4 = 0 touches

    Text Solution

    |

  9. The intercept on the line y = x by the circle x^2 + y^2 - 2x = 0 is ba...

    Text Solution

    |

  10. If the equation of a circle is 3x^2 + 3y^2 + kxy + 9x + (k - 6)y + 3 =...

    Text Solution

    |

  11. Let AB be a chord of the circle x^2 + y^2 = r^2 Subtending a right ang...

    Text Solution

    |

  12. If the circle x^2+y^2+6x+8y+a=0 bisects the circumference of the circl...

    Text Solution

    |

  13. If a chord of a circle x^2 + y^2 =32 makes equal intercepts of length ...

    Text Solution

    |

  14. The lngth of the tangent from the point (1, 1) to the circle x^2 + y^2...

    Text Solution

    |

  15. The equations of the tangents to the circle x^2 + y^2 = 25 which are i...

    Text Solution

    |

  16. The number of tangents to the circle x^2 + y^2 - 8x - 6y + 9 = 0 which...

    Text Solution

    |

  17. Let x, y be real variable satisfying the x^2 + y^2 + 8x - 10 y - 40 = ...

    Text Solution

    |

  18. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

    Text Solution

    |

  19. Point M moved on the circle (x - 4)^2 + (y - 8)^2 = 20 Then it broke a...

    Text Solution

    |

  20. The equation of the tangents drawn from the origin to the circle x^2 +...

    Text Solution

    |