If 2 and 3 are the lengths of the segments of any focal chord of a parabola y2=4ax made by the axis of the parabola, then the length of the latus rectum is
A
245
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B
125
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C
115
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D
none of these
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Solution
The correct option is A245 If 2 and 3 are lengths of segment of focal chord of parabola y2=4ax
Let l1=2,l2=3
Semi latus rectum =2a=2l1l2l1+l2 =2(2)(3)2+3=125
Hence the length of the latusrectum =4a=245