Question

Statement A: The point of intersection of the lines represented by
$a{x}^2+2hxy+b{y}^2+2gx+2fy+c=0$ is $\left(\frac{bg-hf}{h^2-ab},\frac{af-gh}{h^2-ab}\right)$
Statement B: The point of intersection of $a{x}^2+2hxy+b{y}^2+2gx+2fy+c=0$ is $(\sqrt{\left(\frac{f^2-bc}{h^2-ab}\right)},\sqrt{\left(\frac{g^2-ac}{h^2-ab}\right)})$

• A. A is true
• B. B is true
• C. Both are incorrect
• D. none of these.

Answer 1

Answer: (A)

A is true

From the above concept we get that the point of intersection is

$=\frac{bg-hf}{h^2-ab},\frac{af-gh}{h^2-ab}$.

Hence the correct option is A.