Home Maths Circle and System of Circles Mix A square is inscribed in the circle with it…
Maths Circle and System of Circles Mix Single Correct MCQ
Published on: August 13, 2026

A square is inscribed in the circle with its sides parallel to the coordinate axes. The coordinates of its vertices are

A
(–6, –9), (–6, 5), (8, –9) and (8, 5)
B
(–6, 9), (–6, –5), (8, –9) and (8, 5)
C
(–6, –9), (–6, 5), (8, 9) and (8, 5)
D
(–6, –9), (–6, 5), (8, –9) and (8, –5)

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Text Solution

Verified by Experts
The correct answer is:
A

Let and be the sides of the square. The length of each diagonal of the square is equal to the diameter of the circle i.e. , . Let l be the length of each side of the square.

Then 2 l 2 =(Diagonal) 2 ⇒ ⇒ ⇒ ⇒ l =14

Therefore each side of the square is at a distance 7 from the centre (1, –2) of the given circle. This implies that .

Therefore the vertices of the square are

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