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Question

M is the foot of the perpendicular from a point P on the parabola y2=8(x3) to its directrix and S is the focus of the parabola. If SPM is an equilateral triangle, the length of each side of the triangle is

A
2
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B
3
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C
4
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D
8
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Solution

The correct option is C 8
Since SPM is an equilateral triangle
SPM=600SMZ=300
FRom SZM
SZSM=sin300SM=2SZSM=2×4=8
Hence length of each side of the triangle is 8.

390482_37143_ans_fc26797908fa4d0bb531bc08c6af1719.png

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