Home
Class 11
MATHS
Two parallel tangents to a given circle ...

Two parallel tangents to a given circle are cut by a third tangent at the points `Aa n dBdot` If `C` is the center of the given circle, then `/_A C B` (a)depends on the radius of the circle. (b)depends on the center of the circle. (c)depends on the slopes of three tangents. (d)is always constant

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Two parallel tangents to a given circle are cut by a third tangent at the point Ra n dQ . Show that the lines from Ra n dQ to the center of the circle are mutually perpendicular.

Two parallel tangents of a circle meet a third tangent at points P and Q. Prove that PQ subtends a right angle at the centre.

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4 . Then find the radius of the circle.

The line y=x is a tangent at (0,0) to a circle of radius unity. The center of the circle is

In the xy-plane , a circle with center (6,0) is tangent to the line y=x. what is the radius of the circle ?

In the given circle if Figure-1, number of tangents parallel to tangents PQ is

In the given circle if Figure-1, number of tangents parallel to tangents PQ is

In the figure, O is the center of the circle. What is average of the numbers a, b, c and d?

If the tangent at a point P to a circle with centre O cuts a line through O at Q such that P Q=24 c m and O Q=25 c m . Find the radius of the circle.

A charge particle moves in a circle around an infinite line charge with the center of circle at the line and line being perpendicular to the plane of circle. Let r be the radius of circle. The velocity of the particle depends upon which power of r.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . T...

    Text Solution

    |

  2. The squared length of the intercept made by the line x=h on the pair o...

    Text Solution

    |

  3. Two parallel tangents to a given circle are cut by a third tangent at ...

    Text Solution

    |

  4. Three equal circles each of radius r touch one another. The radius of ...

    Text Solution

    |

  5. If (mi,1/mi),i=1,2,3,4 are concyclic points then the value of m1m2m3m4...

    Text Solution

    |

  6. The intercept on the line y=x by the circle x^2+y^2-2x=0 is AB. Equat...

    Text Solution

    |

  7. The equation of the locus of the mid-points of chords of the circle 4...

    Text Solution

    |

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

    Text Solution

    |

  9. Let S -= x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the locus o...

    Text Solution

    |

  10. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

    Text Solution

    |

  11. Let a given line L1 intersect the X and Y axes at P and Q respectively...

    Text Solution

    |

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

    Text Solution

    |

  13. On the line segment joining (1, 0) and (3, 0) , an equilateral triangl...

    Text Solution

    |

  14. From a point R(5,8) , two tangents R Pa n dR Q are drawn to a given ci...

    Text Solution

    |

  15. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  16. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

    Text Solution

    |

  17. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |

  18. From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn...

    Text Solution

    |

  19. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair o...

    Text Solution

    |

  20. The minimum radius of the circle which is orthogonal with both the c...

    Text Solution

    |