Home
Class 12
MATHS
The centre and the radius of the circle ...

The centre and the radius of the circle with the segment of the line `x +y= 1` cut off by the co-ordinate axes as a diameter, is

A

exactly one

B

two

C

three

D

four

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT-BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 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

Find the intercepts cut off the line 2x-y+16=0 on the coordintate axes.

Find the intercepts cut off by the line 2x - 3y+18=0 on the coordinate axes

The area of the smaller part of the circle x^(2)+y^(2)=2 cut off by the line x=1 is

The length of the segment of the straight line passing through (3,3) and (7,6) cut off by the coordinate axes is

The number of common tangents to the circles one of which passes through the origin and cuts off intercepts 2 from each of the axes and the other circle has the segment joining the origin and the point (1, 1) as a diameter, is

circle C_(1) of unit radius lies in the first quadrant and touches both the co-ordinate axes.The radius of the circle which touches both the co-ordinate axes and cuts C_(1) so that common chord is longest (A) 1(B) 2 (C) 3 (D) 4

Find the area of the smaller portion of the circle x^2+y^2=4 cut off by the line x^2=1

Find the centre and radius of the circles : x^2 + y^2 - ax - by = 0

The area of the smaller portion of the circle x^(2)+y^(2)=4 cut off the line x+y=2 is

Find the ara of the smaller part of the circle x ^(2) +y ^(2) =a ^(2) cut off by the line x = (a)/(sqrt2).

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. If (x,3) and (3,5) are the extermities of a diameter of a circle with ...

    Text Solution

    |

  2. The circle (x-r) ^(2) + (y-r) ^(2) =r ^(2) touches

    Text Solution

    |

  3. The centre and the radius of the circle with the segment of the line x...

    Text Solution

    |

  4. The centre of a circle passing through the points (0, 0), (1, 0) and t...

    Text Solution

    |

  5. Equation of a circle which touches y-axis at (0,2) and cuts ff an inte...

    Text Solution

    |

  6. The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each...

    Text Solution

    |

  7. The tangent at any point to the circle x^2+y^2=r^2 meets the coordinat...

    Text Solution

    |

  8. Equation of a circle with centre C (h,k) and radius 5 such that h ^(2...

    Text Solution

    |

  9. If S -= x ^(2) + y ^(2) - 2x - 4y - 4=0, L -= 2x + 2y + 15=0 and P (3,...

    Text Solution

    |

  10. If POR is the triangle formed by the common tangents to the circles x^...

    Text Solution

    |

  11. A rectangle ABCD is inscribed in the circle x^2+y^2+3x+12y+2=0 . If th...

    Text Solution

    |

  12. A line makes equal intercepts of length a on the coordinate axes. A ci...

    Text Solution

    |

  13. alpha,beta and gamma are parametric angles of three points P, Q and R ...

    Text Solution

    |

  14. P is a point on the circle x^2+y^2=9 Q is a point on the line 7x+y+3=0...

    Text Solution

    |

  15. If the circle (x- a)^2+y^2 =25 intersect the circle x^2+(y -b)^2=16 in...

    Text Solution

    |

  16. If O Aa n dO B are equal perpendicular chords of the circles x^2+y^...

    Text Solution

    |

  17. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |

  18. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

    Text Solution

    |

  19. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  20. If the distances from the origin of the centers of three circles x^2+y...

    Text Solution

    |