Home
Class 12
MATHS
If the lines 3x - 4y - 7 = 0 and 2x - 3y...

If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of a circle of area 49`pi` square units, then the equation of the circle is:

A

`x^2+y^2 +2x-2y-47=0`

B

`x^2+y^2+2x-2y-62=0`

C

`x^2+y^2-2x+2y-62=0`

D

`x^2+y^2-2x+2y-47=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 sq. units. Then the equation of the circle is

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then the equation of the circle is:

If two lines 3 x-2 y-8=0 and 2 x-y-5=0 lie along two diameters of a circle which touches the x -axis then the equation of the circle is

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10pi , then the equation of the circle is :

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10pi , then the equation of the circle is :

The lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to the same circle. The radius of the circle is :

If a line perpendicular to 2 x-3 y+7=0 forms a triangle with the coordinate axes whose area is 3 sq. units, then the equation of the line(s) is

A square is formed by two pairs of straight lines x^2 - 8x + 12 = 0 and y^2 - 14 y + 45 = 0 . A circle is inscribed in it. The centre of the circle is:

The lines 2 x+11 y-5=0,4 x-3 y-2=0 and 24 x+7 y-20=0

If x-y+1=0 meets the circle. x^(2)+y^(2)+y-1=0 at A and B , then the equation of the circle with A B as diameter is

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The equation of the family of circles, which same radical axis, as the...

    Text Solution

    |

  2. If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...

    Text Solution

    |

  3. The radius of the smallest circle, which passes through the points of ...

    Text Solution

    |

  4. The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...

    Text Solution

    |

  5. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

    Text Solution

    |

  6. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  7. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  8. Locus of centroid of the triangle whose vertices are (a cos t, a sin t...

    Text Solution

    |

  9. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  10. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

    Text Solution

    |

  11. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

    Text Solution

    |

  12. If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...

    Text Solution

    |

  13. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

    Text Solution

    |

  14. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

    Text Solution

    |

  15. Consider a family of circles which are passing through the point (-1, ...

    Text Solution

    |

  16. The point diametrically opposite to the point P (1, 0) on the circle x...

    Text Solution

    |

  17. If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...

    Text Solution

    |

  18. If a variable circle 'C' touches the x-axis and touches the circle x^2...

    Text Solution

    |

  19. Three coins of unit radius are placed in an equilateral triangle as sh...

    Text Solution

    |

  20. Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4...

    Text Solution

    |