Answer:
The correct option is C
Step-by-step explanation:
From the question the slope AC is evaluated as
[tex]m_1 = \frac{b-0}{a- (-c)}[/tex]
[tex]m_1 = \frac{b}{a+c}[/tex]
And the slope of line CB is mathematically evaluated as
[tex]m_2 = \frac{0-b}{c-a}[/tex]
[tex]m_2 = \frac{b}{c-a}[/tex]
Now for lines that are perpendicular to each other then the product of their slope should be equal to -1
So if [tex]m ZC[/tex] [tex]= 90^o[/tex]
Then
[tex]m_ *m_2 = -1[/tex]
i.e
[tex][\frac{b}{a+ c} ] [\frac{b}{a-c} ] = -1[/tex]