Home
Class 11
MATHS
The area of any cyclic quadrilateral ABC...

The area of any cyclic quadrilateral ABCD is given by `A^(2)=(s-a)(s-b)(s-c) (s-d)`, where 28 = a + b + c + d, a, b,c and d are the sides of the quadrilateral. Now consier a cyclic quadrilateral ABCD of area 1sq.unit and answer the following questions:
The minimum value of the sum of the lengths of diagonals

A

`2 sqrt(2)`

B

2

C

`sqrt(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -1:)|3 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

The area of any cyclic quadrilateral ABCD is given by A^(2)=(s-a)(s-b)(s-c) (s-d) , where 28 = a + b + c + d, a, b,c and d are the sides of the quadrilateral. Now consier a cyclic quadrilateral ABCD of area 1sq.unit and answer the following questions: The minimum perimeter of the quadrilateral is

The area of any cyclic quadrilateral ABCD is given by A^(2)=(s-a)(s-b)(s-c) (s-d) , where 28 = a + b + c + d, a, b,c and d are the sides of the quadrilateral. Now consier a cyclic quadrilateral ABCD of area 1sq.unit and answer the following questions: When the perimeter is minimum, the quadrilateral is necessarily

If A(-3,5)B(6,0)C(5,1)D(-3,2) are the vertices of the quadrilateral then find the area of the quadrilateral ABCD.

If A,B,C,D are the angles of a cyclic quadrilateral then sinA+sinB=

If A ( - 5 , 7) , B( - 4 , - 5) , C( - 1 , - 6) and D ( 4 , 5) are the vertices of a quadrilat-eral, then find the area of a quadri-lateral ABCD .

If A(-2,3)B(-7,-3)C(2,5)D(5,7) are the vertices of the quadrilateral then find the area of the quadrilateral ABCD.

If A(-5,7),B(-4,-5),C(-1,-6) and D(4,5) are the vertics of a quadrilateral. Then, find the area of the quadrilateral ABCD.

In Delta ABC, sum ( tan ""(A)/(2))/( (s-b)(s-c)) =

If A,B,C,D are the angles of a quadrilateral then tan""((A+B)/(4))=

A(1, 1), B(2, 3), C(-1, 1) are the points. If P is a point such that the area of the quadrilateral PABC is 3 sq. units, then the locus of P is