Home
Class 12
MATHS
A rectangle ABCD is inscribed in the cir...

A rectangle ABCD is inscribed in the circle `x^2+y^2+3x+12y+2=0` . If the co-ordinates of A and B are (3,-2) and (-2,0) then the other two vertices of the rectangle are

A

`(-3//2,-6)`

B

`(-7//2,11)`

C

`(5//2,-1)`

D

`(-5//2,-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

A rectangle ABCD is inscribed in a circle with a diameter lying along the line 3y=x+10. If A and B are the points (-6,7) and (4,7) respectively,find the area of the rectangle and equation of the circle.

The equation of one side of a rectangle is 3x-4y-10=0 and the coordinates of two of its vertices are (-2,1) and (2,4). Then, the area of the rectangle is

A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of the rectangle are (– 8, 5) and (6, 5), then the area of the rectangle (in sq. units) is

Lengths of intercepts made by circle x^(2) + y^(2) + x - 4y - 12 = 0 on co-ordinates axes are

2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABCD. If the coordinates of A, B are (4, 6) and (1, 9) respectively, find the area of this rectangle ABCD.

The co-ordinates of foci of an ellipse 3x^(2) + 4y^(2) - 4x - 6y -13 = 0 is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. If S -= x ^(2) + y ^(2) - 2x - 4y - 4=0, L -= 2x + 2y + 15=0 and P (3,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The distance between the chords of contact of tangents to the circle x...

    Text Solution

    |

  14. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  15. The locus of a point, which moves such that the lengths of the tangent...

    Text Solution

    |

  16. The circle that can be drawn to touch the coordinate axes and the line...

    Text Solution

    |

  17. Area of an equilateral triangle inscribed in a circle of radius a is

    Text Solution

    |

  18. A point P moves such that PA/PB = p where A and B are two fixed pints ...

    Text Solution

    |

  19. The lengths of the tangents from the points A and B to a circle are l...

    Text Solution

    |

  20. Two circles which pass through the points A(0, a), B (0,-a) and touch ...

    Text Solution

    |