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

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

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 circles of same radii and with centres (2,3),(5,6) cut orthogonally then radius is

If the circles of same radii and with centres (1, 3), (9, 11) cut orthogonally then radius is

Find the area of a circle of radius 5.6 cm.

If the curves a y+x^2=7 and x^3=y cut orthogonally at (1,1) , then find the value adot

The radius of the 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

If a circle passes through the point (a, b) and cuts the circle x^2 +y^2=k^2 orthogonally, then the equation of the locus of its center is

Two congruent circles with centered at (2, 3) and (5, 6) which intersect at right angles, have radius equal to (a) 2 sqrt(3) (b) 3 (c) 4 (d) none of these

If centre of a circle lies on the line 2x - 6y + 9 =0 and it cuts the circle x^(2) + y^(2) = 2 orthogonally then the circle passes through two fixed points

The radius of the circle touching the line x+y=4" at "(1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is

Find the equation of a circle whose centre is (2, 3) and radius is 5.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Consider four circles (x+-1)^2+(y+-1)^2=1 . Find the equation of the s...

    Text Solution

    |

  2. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

    Text Solution

    |

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

    Text Solution

    |

  4. If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut or...

    Text Solution

    |

  5. Find the condition that the circle (x-3)^2+(y-4)^2=r^2 lies entirely w...

    Text Solution

    |

  6. Find the locus of the center of the circle which cuts off intercepts o...

    Text Solution

    |

  7. Find the equation of a circle whose centre is (3,-1) and which cuts of...

    Text Solution

    |

  8. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  9. Find the equation of the circle which touches the x-axis and whose ...

    Text Solution

    |

  10. Find the equations of the circles which pass through the origin and cu...

    Text Solution

    |

  11. Find the radius of the circle (x-5)(x-1)+(y-7)(y-4)=0 .

    Text Solution

    |

  12. Find the equation of the circle which passes through the points (3,-2)...

    Text Solution

    |

  13. Prove that the locus of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  14. If one end of the diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2),...

    Text Solution

    |

  15. If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then f...

    Text Solution

    |

  16. Prove that the locus of the point that moves such that the sum of the ...

    Text Solution

    |

  17. Column I|Column II The length of the common chord of two circles...

    Text Solution

    |

  18. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  19. Let C1 and C2 be two circles whose equations are x^2+y^2-2x=0 and x^2+...

    Text Solution

    |

  20. Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthes...

    Text Solution

    |