The number of focal chords of length $\frac{4}{7}$ in the parabola $7 y^{2} = 8 x$ is

one

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zero

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two

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infinite

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Solution

The correct option is B zero
Since length of latus – rectum = $\frac{8}{7}$
Latus-rectum is the smallest focal chord
Hence focal chord of length $\frac{4}{7}$ does not exist.

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