Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Coordinates of B = (4,-3)
Coordinates of C = (-4,3)
We need to find the collinear point with B and C.
There is one method to find the collinear point i.e. Slope method.
Slope of BX = Slope of CX = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let Coordinates of X = (0,0)
So, Slope of BX is given by
[tex]\dfrac{0+3}{0-4}=\dfrac{3}{-4}[/tex]
Slope of CX is given by
[tex]\dfrac{0-3}{0+4}=\dfrac{-3}{4}[/tex]
So, Slope of BX = Slope of CX = [tex]\dfrac{-3}{4}[/tex]
And we can see from the graph (0,0) is the collinear point with B and C too.
Hence, Option 'A' is correct.