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A certain Lissajous pattern is produced by applying sinusoidal voltages to the vertical and horizontal input terminal of a CRO . The pattern makes five tangencies with the vertical and three with the horizontal. If the frequency of the input voltage is 12 kHz then the frequency of the signal applied to the vertical amplifier is ……. kHz 

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Number of points at which figure is tangent to vertical line/Number of points at which figure is tangent horizontal line

= ωxy

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