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Question

Length of focal cord on parabola y2=x, whichis making an angle of 30 with x-axis is

A
2
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B
5
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C
4
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D
7
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Solution

The correct option is C 4
The length of a focal chord of the parabola y2=4ax making an angle θ with the axis of the parabola is
Length of the focal chord if
a(t21t2)2+4(t+1t)2
=a(t+1t)2
Now tanθ=2(t+1t)t21e2
=2t1t2
=(t+1t)2=(t1t)2+4
=4cot2θ+4
=4acsc2θ
Thus length is 4.


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