Home
Class 12
MATHS
A circle passes through the points ( 2,3...

A circle passes through the points ( 2,3) and ( 4,5) . If its centre lies on the line, ` y-4x+ 3 =0`, then its radius is equal to `:`

A

1

B

2

C

`sqrt5`

D

`sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

A circle passes through the points (-1,3) and (5,11) and its radius is 5. Then, its centre is

The equation of the circle which passes through the points (2,3) and (4,5) and the centre lies on the straight line y-4x + 3=0, is

A circle of radius sqrt8 is passing through origin the point (4,0) . If the centre lies on the line y = x , then the equation of the circle is

Find the equation of the circle passes through the points (2, 1) and (-2, 3) and has centre on the line x + y + 4 = 0

Find the equation of circle passing through the points (0,5) and (6,1) and whose centre lies on the line 2x+5y=25.

Find the equation of the circle which passes through the points (2,3)(4,2) and the centre lies on the straight line y-4x+3=0

Find the equaiton of the circle passing through the points (2, -3) and (3, -2) and whose centre lies on the line 2x-3y=8 .

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  2. If the incentre of an equilateral triangle is (1,1) and the equation o...

    Text Solution

    |

  3. If a circle passing through the point (-1, 0) touches y-axis at (0, 2)...

    Text Solution

    |

  4. If y+3x =0 is the equation of a chord of the circle, x^2 + y^2-30x = 0...

    Text Solution

    |

  5. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  6. If one of the diameters of the circle, given by the equation x ^(2) + ...

    Text Solution

    |

  7. A circle passes through (-2, 4) and touches y-axis at (0, 2). Which on...

    Text Solution

    |

  8. Equation of the tangent to the circle at the point (1, -1) whose centr...

    Text Solution

    |

  9. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

    Text Solution

    |

  10. If two parallel chords of a circle, having diameter 4 units, lie on th...

    Text Solution

    |

  11. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  12. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  13. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  14. A circle passes through the points ( 2,3) and ( 4,5) . If its centre ...

    Text Solution

    |

  15. A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sid...

    Text Solution

    |

  16. Let C (1) and C (2) be the centres of the circles x ^(2) + y ^(2) - 2x...

    Text Solution

    |

  17. A circle cuts a chord of length 4a on the x-axis and passes through a ...

    Text Solution

    |

  18. If the circles x^2+y^2-16x-20y+164=r^2 and (x-4)^2+(y-7)^2=36 intersec...

    Text Solution

    |

  19. lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-...

    Text Solution

    |

  20. 3 circles of radii a,b,c (a lt b<c) touch each other externally and ha...

    Text Solution

    |