In the given figure below, two chords of lengths x metre and y metre subtend angles \[\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\] and \[\mathbf{9}{{\mathbf{0}}^{{}^\circ }}\] at the centre of the circle respectively. Which of the following is true?

In the given figure below, two chords of lengths x metre and y metre s

1.	In the given figure below, two chords of lengths x metre and y metre subtend angles \[\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\] and \[\mathbf{9}{{\mathbf{0}}^{{}^\circ }}\] at the centre of the circle respectively. Which of the following is true?
A.	\[{{y}^{2}}=2{{x}^{2}}\]
B.	\[{{x}^{2}}=2{{y}^{2}}\]
C.	\[{{x}^{2}}=4{{y}^{2}}\]
D.	\[{{y}^{2}}=4{{x}^{2}}\]
Answer» B. \[{{x}^{2}}=2{{y}^{2}}\]

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In the given figure below, two chords of lengths x metre and y metre subtend angles \[\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\] and \[\mathbf{9}{{\mathbf{0}}^{{}^\circ }}\] at the centre of the circle respectively. Which of the following is true?

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