Length of the latus rectum of the parabola y=4x2−4x+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 A14 units y=4x2−4x+3 ⇒y=(2x−1)2+2 ⇒y−2=4(x−12)2 ⇒(x−12)2=14(y−2) Comparing it with equation of parabola X2=4aY Length of latus rectum will be =4a So here, length of latus rectum =14 units