Home
Class 12
MATHS
Statement I The circle x^(2) + y^(2) - 6...

Statement I The circle `x^(2) + y^(2) - 6x - 4y - 7 = 0` touches y-axis
Statement II The circle `x^(2) + y^(2) + 6x + 4y - 7 = 0` touches x-axis
Which of the following is a correct statement ?

A

Both I and II are true

B

Neither I nor II is true

C

I is true, II is false

D

I is false, II is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos

  • COMPLEX NUMBERS AND DE MOIVRE'S THEOREM

    SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

If the circle x^(2) + y^(2) + 4x - 6y - c = 0 bissects the circumference of the circle x^(2) + y^(2) - 6x + 4y - 12 = 0 , then c =

If the circle x^(2) +y^(2) -6x -8y+( 25-a^(2) ) =0 touches the axis of x, then a equals.

The piont where the line 4x - 3y + 7 = 0 touches the circle x^(2) + y^(2) - 6x + 4y - 12 = 0 is

If x^(2)+y^(2)-4x-6y+k=0 touches x-axis then k=

Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(2) -6x + 4y + 12 = 0

Show that the tangent at (-1, 2) of the circle x^(2) + y^(2) - 4x -8y + 7 = 0 touches the circle x^(2) + y^(2) + 4x + 6y = 0 and also find its point of contact.

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. The polar equation of the circle with centre (2, (pi)/(2)) and radius ...

    Text Solution

    |

  2. The number of common tangentss to the circles x^(2)+y^(2)-8x+2y=0 and ...

    Text Solution

    |

  3. Statement I The circle x^(2) + y^(2) - 6x - 4y - 7 = 0 touches y-axis ...

    Text Solution

    |

  4. Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...

    Text Solution

    |

  5. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

    Text Solution

    |

  6. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

    Text Solution

    |

  7. Which of the following equation gives a circle ?

    Text Solution

    |

  8. If P(1), P(2), P(3) are the perimeters of the three circles x^(2) + y^...

    Text Solution

    |

  9. The centre of the circle r^(2) - 4r (cos theta + sin theta) - 4 = 0 in...

    Text Solution

    |

  10. The radius of the circle r = sqrt(3) sin theta + cos theta is

    Text Solution

    |

  11. The number of circles that touches all the three lines x+y-1=0, x-y-1=...

    Text Solution

    |

  12. If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and ...

    Text Solution

    |

  13. A line l meets the circle x^(2) + y^(2) = 61 in A , B and P(-5,6) i...

    Text Solution

    |

  14. If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...

    Text Solution

    |

  15. If P is a point such that the ratio of the square of the lengths of th...

    Text Solution

    |

  16. If 5x - 12y + 10 = 0 and 12y - 5x + 16 = 0 are two tangents to a circl...

    Text Solution

    |

  17. The equation of the circle of radius 5 and touching the coordinate axe...

    Text Solution

    |

  18. The radius of the larger circle lying in the first quadrant and touchi...

    Text Solution

    |

  19. The four distinct points (0, 0), (2, 0), (0, -2) and (k, -2) are concy...

    Text Solution

    |

  20. A line is at a constant distance c from the origin and meets the coord...

    Text Solution

    |