Home
Class 11
MATHS
If the lines 3x-4y+4=0 and 6x-8y-7=0 are...

If the lines `3x-4y+4=0` and `6x-8y-7=0` are tangents to a circle, then find the radius of the circle.

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

If the lines 3 x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to a circle , then the radius of the circle is

If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radius of the circle, is

Centre of a circle of radius 4sqrt(5) lies on the line y=x and satisfies the inequality 3x+6y > 10. If the line x+2y=3 is a tangent to the circle, then the equation of the circle is

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 2x - y + 1 = 0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y = 4. The radius of the circle is :

If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then the centre of one such circle is

Straight line 3x-4y=4/(pi)sin^(-1)(a^(8)+1)+2cos^(-1)(a^(12)+1)-sec^(-1)(a^(2)+1),aepsilonR & 6x-8y=7 are tangents to a circle then the length of arc of this circle which makes on angle of 40/3 at its centre 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 ?

If the line 4x - 3y = -12 is tangent at point (-3,0) and the line 3x+4y=16 is tangent at the point (4,1) to a circle then equation of circle

Tangents drawn from P(1, 8) to the circle x^2 +y^2 - 6x-4y - 11=0 touches the circle at the points A and B, respectively. The radius of the circle which passes through the points of intersection of circles x^2+y^2 -2x -6y + 6 = 0 and x^2 +y^2 -2x-6y+6=0 the circumcircle of the and interse DeltaPAB orthogonally is equal to

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The two points A and B in a plane are such that for all points P lies ...

    Text Solution

    |

  2. The points of intersection of the line 4x-3y-10=0 and the circle x^2+y...

    Text Solution

    |

  3. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  4. find the area of the quadrilateral formed by a pair of tangents from t...

    Text Solution

    |

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

    Text Solution

    |

  6. The equation of the circle passing through the point of intersection o...

    Text Solution

    |

  7. If the radii of the circle (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 ar...

    Text Solution

    |

  8. The equation of the circle which has normals x-1).(y-2)=0 and a tange...

    Text Solution

    |

  9. A wheel of radius 8 units rolls along the diameter of a semicircle of ...

    Text Solution

    |

  10. The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . T...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |