Home
Class 12
MATHS
The two adjacent sides of a cyclic quadr...

The two adjacent sides of a cyclic quadrilateral are `2a n d5` and the angle between them is `60^0dot` If the area of the quadrilateral is `4sqrt(3)` , find the remaining two sides.

A

12

B

`12.5`

C

13

D

`13.2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise Level - 2|55 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

If two adjacent sides of a cyclic quadrilateral aré 2 and 5 and the angle between them is 60°. If the third side is 3, then the remaining fourth side is (a) 2 (b) 3 (c) 4 (d) 5

If two sides of a cyclic quadrilateral are parallel , prove that the other two sides are equal

The sides of a quadrilateral are 3, 4, 5 and 6 cms. The sum of a pair of opposite angles is 120^0. Show that the area of the quadrilateral is 3sqrt(30) sq.cm.

If two opposite sides of a cyclic quadrilateral are equal, then the other two sides are parallel.

If the sum of the two angles of a quadrilateral is 180^0dot What is the sum of the remaining two angles?

If the sides of a cyclic quadrilateral are 3,3,4,4, show that a circle be inscribed in it.

If two sides of a cyclic quadrilateral are parallel, prove that the remaining two sides are equal and the diagonals are also equal.

The opposite sides of a quadrilateral are parallel. If one angle of the quadrilateral is 60^0, find the other angles.

In cyclic quadrilateral ABCD,/_A=3/_C and /_D=5 /_B . Find the measure of each angle of the quadrilateral.

In a cyclic quadrilateral ABCD angle A : angle C = 3: 1 and angle B : angle D = 1 : 5 find each angle of the quadrilateral

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Main (Archive)
  1. If an angle A of a triangle ABC satisfies 5cos A + 3 = 0, then the roo...

    Text Solution

    |

  2. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  3. The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the a...

    Text Solution

    |

  4. A man is walking towards a vertical pillar in a straight path, at a ...

    Text Solution

    |

  5. The angle of elevation of the top of a vertical tower from a point A d...

    Text Solution

    |

  6. If the anlges of elevation of the top of a tower from three collinear ...

    Text Solution

    |

  7. In a Delta ABC a/b=2+sqrt(3) " and " angle C = 60 ^@ Then the ordered ...

    Text Solution

    |

  8. Let 10 vertical poles standing at equal distances on a straight l...

    Text Solution

    |

  9. A bird is sitting on the top of a vertical pole 20 m high and its elev...

    Text Solution

    |

  10. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  11. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  12. AB is a vertical pole with B at the ground level and and A at the top ...

    Text Solution

    |

  13. A tower stands at the centre of a circular park . A and B are two poin...

    Text Solution

    |

  14. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

    Text Solution

    |

  15. In triangle ABC, let angle C = pi//2. If r is the inradius and R is ci...

    Text Solution

    |

  16. A person standing on the bank of a river observes that the angle of ...

    Text Solution

    |

  17. The sides of a triangle are sin alpha, cos alpha, sqrt(1+sin alpha cos...

    Text Solution

    |

  18. If in a triangle A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then the si...

    Text Solution

    |

  19. In a triangle ABC, medians AD and BE are drawn. If AD=4, angleDAB=(pi)...

    Text Solution

    |

  20. Find the sum of the radii of the circles, which are respectively inscr...

    Text Solution

    |