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)) - 36 x + 45 t =0`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The locus of the middle 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)=9is

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 "___________" .

The locus of the mid-points of the perpendiculars drawn from points on the line x=2y to the line x=y is:

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 a fixed point

Find the equation to the chord of contact of the tangents drawn from an external point (-3, 2) to the circle x^2 + y^2 + 2x-3=0 .

Find the locus of the middle points of the chords of contact of tangents to the circle x^(2)+y^(2)=1 drawn from the the circle x^(2)+y^(2)+4x+6y+9=0

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:

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

Let the midpoint of the chord of contact of tangents drawn from A to the circle x^(2) + y^(2) = 4 be M(1, -1) and the points of contact be B and C

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  6. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  7. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  8. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  9. Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that ar...

    Text Solution

    |

  10. A circle touches y-axis at (0,3) and makes an intercept of 2 units on ...

    Text Solution

    |

  11. Equation of the circle which circumscribes the square formed by the li...

    Text Solution

    |

  12. If the centre of the circle passing through the origin and the point o...

    Text Solution

    |

  13. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  14. Equation of circle passing through (1,5) and (4,1) and touching y-axi...

    Text Solution

    |

  15. If the circle x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y=m at two d...

    Text Solution

    |

  16. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |

  17. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

  18. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

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

    Text Solution

    |

  20. The length of the diameter of the circle which touches the x-axis at t...

    Text Solution

    |