Question

If a flagstaff subtends the same angle at the points ‘A, B, C & D’ on the horizontal plane through its foot, then ‘A, B, C & D’ from a

• A. Square
• B. Cyclic quadrilateral
• C. Rectangle
• D. None of these

Answer 1

The correct option is B

Cyclic quadrilateral

Explanation for correct option

Let $O$ is the foot of flagstaff & ‘P’ is the top of the flagstaff

‘A’ is the point on the horizontal plane through its foot.

‘B’ is the point on the horizontal plane through its foot.

‘C’ is the point on the horizontal plane through its foot.

‘D' is the point on the horizontal plane through its foot.

‘h’ is the height of the flagstaff.

Then, $OA=OB=OC=OD=r$ will be the radius of the circle.

Therefore points ‘A, B, C & D’ lie on a circle with center $O$ and therefore ‘ABCD’ is a cyclic quadrilateral.

Hence, correct option is $\mathbf{\left(}\mathit{B}\mathbf{\right)}\mathbf{.}$