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Question

The total number of focal chord(s) of length 167 in the parabola 7y2=8x is 


Solution

Parabola:  y2=4(27)x(1)   
 a=27

Length of focal chord is 4acosec2θ
4×27×cosec2θ=167 
cosec2θ=2
there will exists 2 values of θ for  θ[0,π]
Hence there will be two such focal chord.

Mathematics

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