Home
Class 14
MATHS
In the adjoining figure ABCD is a rectan...

In the adjoining figure ABCD is a rectangle in which length is twice of breadth. H and G divide the line CD into three equal parts. Similarly points E and F trisect the line AB. A circle PQRS is circumscribed by a square PQRS which passes through the points E, F, G and H. What is the ratio of areas of circles to that of rectangle?

A

`3 pi : 7`

B

`3 : 4`

C

`25 pi : 72`

D

`32 pi : 115`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos
  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure ABCD is a rectangle in which length is twice of breadth. H and G divide the line CD into three equal parts. Similarly points E and F trisect the line AB. A circle PQRS is circumscribing a square PQRS which passes through the points E, F, G and H. What is the ratio of areas of circles to that of rectangle?

What is the number of circles which pass through three given points not in a straight line

The figure shows two concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle, touching it at point B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD ?

The number of different circles passing through the points A,B,C,D,E,F and G as shown in the adjacent figure.

In the given figure,ABCD is a rectangle; E and F are the mid-points of the sides BC and CD respectively.What is the ratio of the area of Delta AEF and that of Delta ECF?

In the given figure ABCD is a parallelogram in which AB||CD and E and F are the mid points of AB and BC respectively. What is the area of angleBEF ?

In the figure given below, ABCD is a square of side 14 cm with E,F,G and H as the mid points of sides. The area of EFGH is :

A is a point on the circumference of a circle. Chords AB and AC divide the area of the circle into three equal parts.Find an f(x) such that angle BAC is the root of the equation,f(x)=0

ABC is a triangle in which D, E and F are the mid-points of the sides AC, BC and AB respectively. What is the ratio of the area of the shaded to the unshaded region in the triangle?

In the adjoining figure PQRS is a square of maximum possible area which is circumscribed by the semicricle . Points R and S lie on the diameter AB. What is the area of the square if the radius of the circle is 'r' ?

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. The average weight of 29 students is 28 kg. by the admission of a new ...

    Text Solution

    |

  2. If x^2 + y^2 + z^2 = xy + yz + zx, then the triangle is :

    Text Solution

    |

  3. In the adjoining figure ABCD is a rectangle in which length is twice o...

    Text Solution

    |

  4. In the adjoining figure there are two congruent regular hexagons with ...

    Text Solution

    |

  5. The average age of 30 students of a class is 12 yr. The average age of...

    Text Solution

    |

  6. The age of Shaurya and Ravi is in the ratio 2 : 6. After 5 years, the ...

    Text Solution

    |

  7. The average of 8 numbers is 12. If each number is increased by 2, the ...

    Text Solution

    |

  8. The average of x, y and z is 45. x is as much more than the average as...

    Text Solution

    |

  9. In the given figure, P and Q are the mid points of AC and AB also PG =...

    Text Solution

    |

  10. A trapezium PQRS inscribes a circle which touches the circle at M, A, ...

    Text Solution

    |

  11. In the given diagram, river PQ is just perpendicular to the national h...

    Text Solution

    |

  12. In a triangle ABC, AD is the angle bisector of angleBAC and angleBAD=6...

    Text Solution

    |

  13. The average age of 24 students and the principal is 15 years. When the...

    Text Solution

    |

  14. The average temperature on Monday, Tuesday and Wednesday was 41 °C and...

    Text Solution

    |

  15. Answer the following duestions based on the information given below. ...

    Text Solution

    |

  16. In a triangle ABC point D and E lie on the sides AB and AC, respective...

    Text Solution

    |

  17. Find the average of the first 97 natural numbers.

    Text Solution

    |

  18. Consider a triangle ABC and let a, b and c denote the lengths of the s...

    Text Solution

    |

  19. Given an isoceles triangle, whose one angle is 120^@ and radius of its...

    Text Solution

    |

  20. Let ABC be an arbitrary triangle, and P be any point inside. Let d1, d...

    Text Solution

    |