Home
Class 11
MATHS
If the circles of same radius a and cent...

If the circles of same radius a and centres (2,3), (5,6) cut orthogonally , then a=

A

`2sqrt(2)`

B

3

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|289 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

If the circles of same radius a and centers at (2,3) and (5,6) cut orthogonally,then find a .

If two circles of the same radius r and centres at (-1,2) and (3,6) respectively cut orthogonally,then the value of r is

Each of the two circles of same radius 'a' passes through the centre of the other, If the circles cut each other at the points A and Band O, O'be their centres, area of the quadrilateral AOBO' is :

The radius of one circle is twice the radius of another circle whose centres are (2,0) (1,2) respectively cutting orghogoanlly.Then the radius of the first circle is

The radius of the of circle touching the line 2x+3y+1=0 at (1,-1) and cutting orthogonally the circle having line segment joining (0,3) and (-2,-1) as diameter is

Two circles with centres C_(1),C_(2) and same radius r cut each other orthogonally,then r is

The locus of the centre of a circle which cuts a given circle orthogonally and also touches a given straight line is (a) circle (c) parabola (b) line (d) ellipse

MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
  1. If the equation ax^(2) + by^(2) + (a + b - 4) xy - ax - by - 20 = ...

    Text Solution

    |

  2. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

    Text Solution

    |

  3. If the circles of same radius a and centres (2,3), (5,6) cut orthogona...

    Text Solution

    |

  4. If the equation a^(2) x^(2) + (a^(2) - 5a + 4) xy + (3a - 2) y^(2...

    Text Solution

    |

  5. The (x-x1)(x-x2)+(y-y1)(y-y2=0 represents a circle whose centre is

    Text Solution

    |

  6. Two circles with centres at C(1) , C(2) and having radii r(1) , r(2...

    Text Solution

    |

  7. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

    Text Solution

    |

  8. If the line x + 2by + 7 = 0 is a diameter of the circle x^(2) ...

    Text Solution

    |

  9. If the circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis th...

    Text Solution

    |

  10. The equation of the circle which touches both axes and whose centre is...

    Text Solution

    |

  11. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

    Text Solution

    |

  12. Centre of the circle (x - x(1)) (x-x(2)) + (y-y(1)) (y- y(2)) = 0 ...

    Text Solution

    |

  13. Delta ABC is right angled at C . If A -= (-3,4) " and " B -= (3,4) t...

    Text Solution

    |

  14. If the equation , px^(2) + (2-q) xy + 3y^(2) - 6qx + 30y +6y = 0 ...

    Text Solution

    |

  15. Circle x ^(2) + y^(2)+6y=0 touches

    Text Solution

    |

  16. Equation of the circle with centre at (1,-2) , and passing through th...

    Text Solution

    |

  17. Equation of the circle concentric with the circle x^(2) + y^(2) + ...

    Text Solution

    |

  18. Equation of the circle passing through the three points (0, 0) , (0...

    Text Solution

    |

  19. A circle is concentric with the circle x^(2) + y^(2) - 6x + 12y + ...

    Text Solution

    |

  20. Equation of the circle with centre on the X-axis , radius 4 , and pass...

    Text Solution

    |