Home
Class 12
MATHS
One of the diameter of a circle circumsc...

One of the diameter of a circle circumscribing the rectangle ABCD is `4y = x + 7`, If A and B are the points `(-3, 4)` and `(5, 4)` respectively, then the area of rectangle is

A

16 sq units

B

24 sq units

C

32 sq units

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 7|18 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

One of the diameters of the circle circumscribing the rectangle ABCD is 4y = x + 7. If A and B are the points (-3, 4) and (5, 4) respectively, then find the area of the rectangle.

One of the diameters of the circle circumscribing the rectangle ABCD is 4y=x+y . If A and B are the points (-3, 4) and (5, 4) respectively, find the area of the rectangle and equation of the circle.

One of the diameters of circle circumscribing the rectangle ABCD is 4y=x+7 . If A and B are the points (-3,4) and (5,4) respectively and area of rectangle is p then p/4 is equal to

One of the diameters of the circle circumscribing the rectangle ABCD is 4y=x+7 . If A and B are the points (-3, 4) and (5, 4) and slope of the curve y = (ax)/(b-x) at point (1, 1) be 2 , then centre of circle is : (A) (a, b) (B) (b, a) (C) (-a, -b ) (D) (a, -b)

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.

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.

Find the equation of the circle circumscribing the rectangle whose sides are : x=4, x=-5, y=5, y=-3

Prove that the centre of the circle circumscribing the cyclic rectangle ABCD is the point of intersection of its diagonals.

Find the equation of the circle circumscribing the rectangle whose sides are : x=6, x = -3, y=3, y=-1

The sum of length and breadth of a rectangle is 16 cm. A circle is circumscribed on the rectangle. If the ratio of area of the circumcircle to that of the rectangle is 73:35 , the area of the rectangle is (in cm^(2) )

ARIHANT MATHS-CIRCLE -Exercise (Single Option Correct Type Questions)
  1. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through (a, n) cuts the ci...

    Text Solution

    |

  2. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

    Text Solution

    |

  3. S(x,y)=0 represents a circle. The equation S(x,2)=0 gives two identica...

    Text Solution

    |

  4. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

    Text Solution

    |

  5. Find the number of point (x ,y) having integral coordinates satisfying...

    Text Solution

    |

  6. The point ( [P + 1] , [P] ) (where [.] denotes the greatest integer fu...

    Text Solution

    |

  7. A point Plies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0. The...

    Text Solution

    |

  8. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  9. If a line segement A M=a moves in the plane X O Y remaining parallel t...

    Text Solution

    |

  10. Show that the four points of intersection of the lines : (2x-y + 1) (x...

    Text Solution

    |

  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  12. Let phi(x,y)=0 be the equation of a circle. If phi(0,lamda)=0 has equa...

    Text Solution

    |

  13. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  14. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

    Text Solution

    |

  15. A, B C and D are the points of intersection with the coordinate axes o...

    Text Solution

    |

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

    Text Solution

    |

  17. The equation of the circle passing through (2,0) and (0,4) and having ...

    Text Solution

    |

  18. A circle of radius unity is centered at thet origin. Two particles tar...

    Text Solution

    |

  19. The circle x^2+y^2=4 cuts the line joining the points A(1, 0) and B(3,...

    Text Solution

    |

  20. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |