Home
Class 12
MATHS
The locus of the mid-point of the chord ...

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line `4x-5y=20` to the circle `x^2+y^2=9` is : (A) `20(x^2+y^2)-36x+45y=0` (B) `20(x^2+y^2)+36x-45y=0` (C) `20(x^2+y^2)-20x+45y=0` (D) `20(x^2+y^2)+20x-45y=0`

A

`20(x^(2) +y^(2))-36x +45y =0`

B

` 20 (x^(2)+y^(2) )+ 36x - 45 y =0`

C

`36(x^(2) +y^(2))- 20 y + 45y =0`

D

` 36( x^(2) +y^(2))+ 20x- 45y=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

Find the length of the intercept on the straight line 4x-3y-10=0 by the circle x^(2)+y^(2)-2x+4y-20=0 .

The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y-12=0 to the circle x^(2)+y^(2)+4x-6y+4=0 is

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 square of the length of the tangent drawn from any point on the circle x^(2) + y^(2) + 70x -45y + 6789 =0 to the circle x^(2) + y^(2) + 70x - 45y + 9876 =0 is ______ .

Locus of the points of intersection of perpendicular tangents drawn one to each of the circles x^(2)+y^(2)-4x+6y-37=0, x^(2)+y^(2)-4x+6y-20=0 is

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

From the points (3, 4), chords are drawn to the circle x^2+y^2-4x=0 . The locus of the midpoints of the chords is (a) x^2+y^2-5x-4y+6=0 (b) x^2+y^2+5x-4y+6=0 (c) x^2+y^2-5x+4y+6=0 (d) x^2+y^2-5x-4y-6=0

VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  2. Find the equation of a circle which passes through the point (2,0) ...

    Text Solution

    |

  3. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  4. Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

    Text Solution

    |

  5. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  6. The equation of the tangents drawn from the origin to the circle x^(2)...

    Text Solution

    |

  7. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  8. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  9. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

    Text Solution

    |

  10. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. 8 TePR2 p? 4x- 2) 11 = 0 be a circle. A pall or tangents from the poin...

    Text Solution

    |

  14. From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1. The...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. C(1) and C(2) are two concentric circles, the radius of C(2) being tw...

    Text Solution

    |

  18. Find the intervals of the values of a for which the line y+x=0 bisects...

    Text Solution

    |

  19. Let a circle be given by 2x(x-1)+y(2y-b)=0,(a!=0,b!=0) . Find the cond...

    Text Solution

    |

  20. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

    Text Solution

    |