Question

Equation of the image of the pair of lines \[ ax^2+2hxy+by^2=0 \] with respect to \(y=0\) is

• A. \(ax^2-2hxy-by^2=0\)
• B. \(ax^2-2hxy+by^2=0\)
• C. \(ax^2+2hxy-by^2=0\)
• D. \(bx^2-2hxy+ay^2=0\)

Hint:

For reflection about the \(x\)-axis, \[ \boxed{(x,y)\rightarrow(x,-y).} \] Only the terms containing an odd power of \(y\) change their sign.

Answer 1

The Correct Option is B