Home
Class 12
MATHS
The chord of contact of the pair of tang...

The chord of contact of the pair of tangents drawn from each point on the line `2 x+y=4` to the circle `x^(2)+y^(2)=1` passes through the point

A

(1,2)

B

`((1)/(2), (1)/(4))`

C

(2,4)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

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:

The chord of contact of tangents drawn from any 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 . Then a, b, c are in:

The length of the tangent drawn from any point on the circle : x^2+y^2 -4x+2y-4=0 to the circle x^2+y^2-4x+6y=0 is :

Angle between tangents drawn from a point on the director circle x^(2)+y^(2)=100 to the circle x^(2)+y^(2)=50 is

The angle between the pair of tangents drawn from the point (1,2) to the ellipse 3 x^(2)+2 y^(2)=5 is

The number of tangents, which can be drawn from the point (1, 2) to the circle x^2 + y^2 = 5 is :

If the chord of contact of tangents from a point P (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 :

Find the equations of the tangents to the circle x^(2) + y^(2)=16 drawn from the point (1,4).

Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy +c=0 to the circle : x^2+y^2+2gx+2fy+c'=0 is :

The equation of the diameter of the circle x^(2)+y^(2)+6 x-4 y-2=0 , passing through the point (2,-3) is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. If one of the diameters of the circle x^2+ y^2-2x-6y + 6=0 is a chord ...

    Text Solution

    |

  2. The locus of the centre of a circle which touches externally the cir...

    Text Solution

    |

  3. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  4. Two vertices of an equilateral trianglt are (-1,0) and (1,0) and its t...

    Text Solution

    |

  5. The length of the tangtnt from (0,0) to the circle 2x^(2)+2y^(2)+x-y+...

    Text Solution

    |

  6. Consider the circleS, x^(2)+(y-1)^(2)=9 (x-1)^(2)+y^(2)=25 . These ...

    Text Solution

    |

  7. The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)...

    Text Solution

    |

  8. The radical centre of the three circleS deseribed on the three sides ...

    Text Solution

    |

  9. The circle, which passes through the origin and whose centre lies on t...

    Text Solution

    |

  10. The equation of the circle described on the common chord of the circ...

    Text Solution

    |

  11. The equation of the circle which touches the lines x=0, y=0 and x=c(c...

    Text Solution

    |

  12. The centre and radius of the circle with the segment of the line x+y=...

    Text Solution

    |

  13. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

    Text Solution

    |

  14. Given that for the circle x^(2)+y^(2)-4 x+6 y+1=0 the line with equat...

    Text Solution

    |

  15. The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is a...

    Text Solution

    |

  16. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  17. The equation of a circle with centre (4,1) and having 3 x+4 y-1=0 as ...

    Text Solution

    |

  18. The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 ...

    Text Solution

    |

  19. If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 ...

    Text Solution

    |

  20. The centre of the circle touching the y -axis at (0,3) and making an ...

    Text Solution

    |