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Write the Coordinates of the Centre of the Circle Inscribed in the Square Formed by the Lines X = 2, X = 6, Y = 5 and Y = 9. - Mathematics

Write the coordinates of the centre of the circle inscribed in the square formed by the lines x = 2, x = 6, y = 5 and y = 9.

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Solution

From the figure, we can see that the vertices of the square are (2, 5), (6, 5), (2, 9) and (6, 9).
The vertices of the diagonals are (2, 9), (6, 5) and (2, 5),(6, 9).
∴ Coordinates of the centre = \[\left( \frac{6 + 2}{2}, \frac{5 + 9}{2} \right) = \left( 4, 7 \right)\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 24 The circle
Q 9 | Page 38
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