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Let OAB be a quadrant of a circle with b...

Let OAB be a quadrant of a circle with boundary radii `OA = 1, OB = 1 ` and bunding arc AB. Then
The area of the square inscribed in it with two vertices on OA and OB and two vertices on are AB is

A

`1/5`

B

`2/5`

C

`3/5`

D

`4/5`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Let OAB be a quadrant of a circle with boundary radii OA = 1, OB = 1 and bunding arc AB. Then Maximum area of the reactangle inscribed in it with two vertices on OA and OB and two on the are AB

    A
    `sqrt2`
    B
    `1/sqrt2`
    C
    `sqrt2 - 1`
    D
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  • Let OAB be a quadrant of a circle with boundary radii OA = 1, OB = 1 and bunding arc AB. Then The area of equilateral triangle inscribed in it such that two vertices on OA and OB and one vertex on AB

    A
    `(2 sqrt3 - 3)/2`
    B
    `(3 sqrt3)/4`
    C
    `(3 + sqrt3)/4`
    D
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    A
    7/2 sq.unit
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