The number of focal chords of length 4-7 in the parabola 7 y 2-8 x isA- zeroB- twoC- infiniteD- one

The correct option is A zeroSince length of latus – rectum = 8/7 Latus rectum is the smallest focal chord Hence focal chord of length 4/7 does not exist. ...

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Standard XI

Mathematics

Terminologies Related to a Parabola

The number of...

Question

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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The number of focal chords of length 47 in the parabola 7y2=8x is

The correct option is B zeroSince length of latus – rectum = 87 Latus-rectum is the smallest focal chord Hence focal chord of length 47 does not exist.

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

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.