Home
Class 11
MATHS
A circle touches the y-axis at the point...

A circle touches the y-axis at the point (0, 4) and cuts the x-axis in a chord of length 6 units. Then find the radius of the circle.

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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

Consider a circle C which touches the y-axis at (0,6) and cuts off an intercept 6 sqrt(5) on the x - axis. Then the radius of the circle C is equal to

A circle touches the line y = x at the point (2, 2) and has it centre on y-axis, then square of its radius is

A circle touches the y-axis at the point (0, 4) and passes through the point ( 2, 0). Which of the following lines is not a tangent to the circle ?

The radius of the circle touches the line y=x and has centre on the x-axis and cuts a chord of length 2 units along the line sqrt(3)y-x=0

A circle with centre at (2,4) is such that the line x+y+2=0 cuts a chord of length 6. The radius of the circle is

A circle C is tangent to the x and y axis in the first quadrant at the points P and Q respectively. BC and AD are parallel tangents to the circle with slope –1. If the points A and B are on the y-axis while C and D are on the x-axis and the area of the figure ABCD is 900 . sqrt(2) sq. units then find the radius of the circle.

Find the equation of the circle which touches the axis of y at a distance 4 from the origin and cuts off an intercept of length 6 on the axis of x .

Find the equation of the circle which touches the axis of x at a distance 3 from the origin and cuts an intercept of length 6 on the axis of y .

Equation when the circle touches the y axis at (0;beta) and cuts off intercept on the x axis of length 2k .

MARVEL PUBLICATION-CIRCLE AND CONICS -MISCELLANEOUS MCQs
  1. If the circle x^(2) + y^(2) - kx - 12y + 4 = 0 touches the X-axis th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. the equation of the circle passing through the point (2,1) and touchin...

    Text Solution

    |

  14. Equation of the circle which passes through the origin and cuts off in...

    Text Solution

    |

  15. If the radius of the circel x ^(2) + y ^(2) + 2gx+ 2fy +c=0 be r, then...

    Text Solution

    |

  16. Equation of the circle with centre on X-axis , radius 5, and passing t...

    Text Solution

    |

  17. The equation of the circel which touches X-axis at (3,0) and passes th...

    Text Solution

    |

  18. The equation ax^(2) + 2bxy + 2y^(2) + 2x - y + c = 0 represents a ...

    Text Solution

    |

  19. Equation of the circle , centred at the origin , whose radius equals t...

    Text Solution

    |

  20. If the equation of a circle which touches the line x = y at the origin...

    Text Solution

    |