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The image of the pair of lines represented by ${ax}^{2} + 2 hxy + {by}^{2} = 0$ 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 ax2−2h xy+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 ${ax}^{2} + 2 hxy + {by}^{2} = 0$ by the line mirror y=0 is