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Question

The point (1,2) is one extremity of focal chord of the parabola y2=4x. The length of this focal chord is

A
1
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B
2
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C
4
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D
8
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Solution

The correct option is C 4
Parabola:
y2=4xa=1

The point (1,2) is end of focal chord, As focal chord passes through focus, the focal chord must pass through (a,0) i.e. (1,0)

So, line passing through (1,2) and (1,0) will be x=1

Since x=1 is perpendicular to axis of parabola and passes through focus

x=1 is latus rectum and length of latus rectum =4(a)=4

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