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Question

The mirror image of the directrix of the parabola
y=x2+5x+7 in the line mirror x+y=1 is

A
2y=1
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B
2xy=1
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C
4x=y
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D
x=12
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Solution

The correct option is D x=12
Equation of directrix of y=x2+5x+7 will be y=12
Any point on the line y=12 will be of the form (k,12) where kR
Let (x,y) be the locus of all the points which are the mirror image of the points (k,12) in the line x+y=1
xk1=y121=2(k+121)2x=12,y=1k
Mirror image of the directrix is the line x=12

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