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The image of the pair of lines respresen...

The image of the pair of lines respresented by `ax^2 + 2hxy + by^2 = 0` by the line mirror `y = 0` is: (A) `ax^2-2hxy+by^2=0` (b) `bx^2-2hxy+ay^2=0` (c) `bx^2+2hxy+ay^2=0` (d) `ax^2-2hxy-by^2=0`

A

`ax^(2)-2hxy-by^(2)=0`

B

`bx^(2)-2hxy+ay^(2)=0`

C

`bx^(2)+2hxy+ay^(2)=0`

D

`ax^(2)-2hxy+by^(2)=0`

Text Solution

Verified by Experts

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 `ax^(2)-2hxy+by^(2)=0`.
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