Home
Class 12
MATHS
Equation of a circle which passes throug...

Equation of a circle which passes through (3, 6) and touches the axes is:

A

`x^2+y^2+6x+6y+3=0`

B

`x^2+y^2-6x-6y-9=0`

C

`x^2+y^2-6x-6y+9=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise AIEEE/JEE Examination|9 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a line which passes through the point (2,3,4) and which has equal intercepts on the axes.

Find the equation of the circle which passes through the origin and belonges to the co-axial of circles whose limiting points are (1,2) and (4,3).

Find the equation of circle which passes through(1,0) and(0,-1) and whose centre lies on the line x-y+2=0 .

The equation of the circle with centre (2,-3) and touching the y -axis is

The differential equation of all circles which pass through origin and whose centres lie on y - axis is :

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

A circle of radius 2 units lies in the first qudrant touching both the axes. Then the equation of the circle with centre (6,5) and touching the above circle externally is

The equation of the circle which passes through the points of intersection of the circleS x^(2)+y^(2)-6 x=0 and x^(2)+y^(2)-6 y=0 and has centre at ((3)/(2), \(3)/(2)) is

A variablt circle passes through the fixed point (2,0) and touches the y -axis. Then the locus of its centre is

The equation of the curve, which does not pass through (0,0) and having the portion of the tangent included between the co - ordinate axes is bisected at the point of contact, is :

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The equation of the circle having centre (1, 2) and passing through th...

    Text Solution

    |

  2. The area of the circle centred at (1, 2) and passing through (4,6) is ...

    Text Solution

    |

  3. Equation of a circle which passes through (3, 6) and touches the axes ...

    Text Solution

    |

  4. Equation of the circle with centre on the y-axis and pussing through t...

    Text Solution

    |

  5. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  6. The tangent to the circle x^2 + y^2 = 9, which is parallel to y-axis a...

    Text Solution

    |

  7. The angle between the tangents from the origin to the circle (x-7)^2 +...

    Text Solution

    |

  8. The circle on the chord x cos alpha + y sin alpha-p= 0 of the circle ...

    Text Solution

    |

  9. The equation to the circle which intersects the circles: x^2+y^2-6y+1=...

    Text Solution

    |

  10. The number of integral values of k for which : x^2+y^2 +kx +(1-k)y+5=0...

    Text Solution

    |

  11. If the centroid of an equilateral triangle is (1, 1) and its one verte...

    Text Solution

    |

  12. A foot of the normal from the point (4, 3) to a circle is (2, 1) and a...

    Text Solution

    |

  13. A tangent to the circle x^2 + y^2 = 1 through the point (0, 5) cuts th...

    Text Solution

    |

  14. The abscissae of two points P and Q are the roots of the equation x^2...

    Text Solution

    |

  15. If the polar of a point P w.r.t. the circle x^2+y^2=a^2 touches the c...

    Text Solution

    |

  16. The locus of the poles of the line ax + by + c = 0 w.r.t. circles whic...

    Text Solution

    |

  17. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

    Text Solution

    |

  18. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

    Text Solution

    |

  19. If a circle of constant radius 3k passes through the origin and meets ...

    Text Solution

    |

  20. If the chord of contact of tangents from a point P (x1,y1) to the circ...

    Text Solution

    |