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Question

Length of the latus rectum of the parabola y=4x24x+3 will be

A
14 units
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B
2 units
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C
32 units
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D
4 units
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Solution

The correct option is A 14 units
y=4x24x+3
y=(2x1)2+2
y2=4(x12)2
(x12)2=14(y2)
Comparing it with equation of parabola X2=4aY
Length of latus rectum will be =4a
So here, length of latus rectum =14 units

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