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