Q.

If 'α' and 'β' be the lengths of the line segment of any focal chord of parabola y2=4ax where α, β are the roots of the equation 5+2x2-4+5x+4+5=0

then the length of the Semi latusrectum of the parabola is

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a

2

b

8

c

1

d

4

answer is B.

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Detailed Solution

1α+1β=2l1α+1β=22a 1α+1β=1a α+βαβ=1a 4+54+5=1a     a=1 Length of semi latus rectam = 2a =2

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