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The image of the pair of lines represented by $a x^{2} + 2 h x y + b y^{2} = 0 by the line mirror y = 0 is$

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ax2−2hxy−by2=0

bx2−2hxy+ay2=0

bx2+2hxy+ay2=0

ax2−2hxy+by2=0

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detailed solution

Correct option is D

Each point (x, y) has an image in line y = 0 as (x, -y). So, replacing y by - y in the given equation, we get the image as ax2−2hxy+by2=0

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The image of the pair of lines represented by ax2+2hxy+by2=0 by the line mirror y=0 is

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The image of the pair of lines represented by $a x^{2} + 2 h x y + b y^{2} = 0 by the line mirror y = 0 is$