Home
Class 12
MATHS
The radius of the circle passing through...

The radius of the circle passing through the point (6,2) and having `x +y= 6` as its normal and `x+2y= 4` as its diameter is :

A

a)10

B

b)`2sqrt5`

C

c)`5sqrt2`

D

d)4sqrt5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

Similar Questions

Explore conceptually related problems

The radius of the circle passing through the point (6, 2), two of whose diameters are x+y = 6 and x+2y=4 is

The radius of the least circle passing through the point (8,4) and cutting the circle x^(2)+y^(2)=40 orthogonally is

Find the equation of the circle passing through the point (-1,3) and having its centre at the point of intersection of the lines x-2y=4 and 2x+5y+1=0

Find the equation of the circle passing through the point (2, 4 ) and having its centre at the intersection of the lines x - y = 4 and 2x + 3y + 7 = 0 .

The radius of circle touching parabola y^(2)=x at (1,1) and having directrix of y^(2)=x as its normal is

Find the equation of a circle passing through the points (5,7),(6,6) and (2,-2). Find its centre and radius.

A DAS GUPTA-Circles-EXERCISE
  1. For any lambda in R, the locus x² + y² - 2lambdax - 2lambday +lambda²=...

    Text Solution

    |

  2. Find the equation of the circle which touch the line 2x-y=1 at (1,1) a...

    Text Solution

    |

  3. The circle for which the points (am^2,2am) and (a/m^2, (-2a)/m) are th...

    Text Solution

    |

  4. The radius of the circle passing through the point (6,2) and having x ...

    Text Solution

    |

  5. A circle passes through point (3, sqrt(7/2)) and touches the line-pai...

    Text Solution

    |

  6. The angle between a pair of tangents from a point P to the circe x^2 +...

    Text Solution

    |

  7. Let AB be a line segment of length 4 with A on the line y = 2x and B o...

    Text Solution

    |

  8. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  9. Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...

    Text Solution

    |

  10. Find the equation of the circle which passes through the origin and...

    Text Solution

    |

  11. The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

    Text Solution

    |

  12. The lines 2x+3y+19=0 and 9x+6y-17=0 , cut the coordinate axes at concy...

    Text Solution

    |

  13. The area of an equilateral triangle inscribed in the circle x^2 + y^2-...

    Text Solution

    |

  14. The range of values of a such that the angle theta between the pair of...

    Text Solution

    |

  15. Let A-=(-1,0),B-=(3,0), and P Q be any line passing through (4, 1) hav...

    Text Solution

    |

  16. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

    Text Solution

    |

  17. The equation of radical axis of two circles is x + y = 1. One of the ...

    Text Solution

    |

  18. Find the locus of the centers of the circles x^2+y^2-2x-2b y+2=0 , whe...

    Text Solution

    |

  19. The range of parameter ' a ' for which the variable line y=2x+a lies b...

    Text Solution

    |

  20. Let C1and C2 be two circles with C2 lying inside C1 circle C lying ins...

    Text Solution

    |