Question

If two curves whose equations are $a{x}^2+2hxy+b{y}^2+2gx+2fy+c=0$ and $a^{\prime }{x}^2+2h^{\prime }xy+b^{\prime }{y}^2+2g^{\prime }x+2f^{\prime }y+c^{\prime }=0$ intersect in four concyclic points, then -

• A. $\frac{a-a^{\prime }}{h}=\frac{b-b^{\prime }}{h^{\prime }}$
• B. $\frac{a-b}{h}=\frac{a^{\prime }-b^{\prime }}{h^{\prime }}$
• C. $\frac{a-b}{h^{\prime }}=\frac{a^{\prime }-b^{\prime }}{h}$
• D. $\frac{a-b}{hgf}=\frac{a^{\prime }-b^{\prime }}{h^{\prime }{g}^{\prime }{f}^{\prime }}$

Answer 1

The correct option is C $\frac{a-b}{h^{\prime }}=\frac{a^{\prime }-b^{\prime }}{h}$