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Question

Equation of the parabola obtained by taking reflection of y=4x2−4x+3 about the line y=x, will be

A
(y12)2=14(x2)
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B
(y12)2=4(x2)
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C
(y2)2=14(x12)
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D
(y2)2=4(x12)
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Solution

The correct option is A (y12)2=14(x2)
y=4x24x+3y=(2x1)2+2y2=4(x12)2(x12)2=14(y2)

To get the reflected equation about the line y=x, we have to interchange x and y.
Hence, required equation is (y12)2=14(x2)

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