Solve the equation expressing $x$ in terms of $y$ $$x^2 - 6xy + 5y^2 = 0$$
Given that area of part $A$ of a circle is $$3x^2 - 2xy - y^2 \text{ cm}^2$$
Area of circle is $4x^2$ cm^2
Calculate fraction $$\frac{\text{Area of part $A$ of the circle}}{\text{Area of circle}}$$
My workings
$ X= 5y OR y $
Sub X=5y Area of part A of the circle = $ 3(5y)^2 - 2(5y)(y) - (5Y)^2 = 40 y^2 $
Area of circle = $ 4 (5y)^2 = 100y^2 $
Fraction = $40y^2 / 100y^2 = 2/5 $
I found that my ans is wrong and the ans is 16/25 can anyone help me .. Thanks a lot !
Hint divide first equation by $y^2$ you get a quadratic in $y/x$ thus getting relation between $y,x$. Hope its clear.