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The image of the pair of lines represent...

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

The correct Answer is:
4
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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