Find the values of $x$ and $y$ .

x = 50^{o}, y = 6

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x = 64^{o}, y = 4

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x = 60^{o}, y = 4

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x = 64^{o}, y = 9

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Solution

The correct option is D $x = 64^{o}, y = 4$
From figure, we can say :
Perpendicular from the centre to the chord bisects the chord
$\Rightarrow y = 4$
Perpendicular from the centre to the chord bisects the arc subtended by the chord
$\Rightarrow x = 64^{\circ}$
Hence, option B is correct.

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Similar questions

A B ∥ C D

C D ∥ E F

∠ B E F = 64^{o}

x, y, z

\frac{2}{x} + \frac{3}{y} = \frac{9}{x y} and \frac{4}{x} + \frac{9}{y} = \frac{21}{x y}

If $3 x + 4 y = 18$ and $x y = 6,$ find the value of $9 x^{2} + 16 y^{2} .$

Find the values of x and y for
$x + \frac{1}{2} y = \frac{9}{2}$
$\frac{1}{4} x - \frac{1}{6} y = \frac{5}{6}$

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