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Easiest and quickest way would be to check the options satisfy point A(7,5) since the line passes through AC. and then see if multiple options satisfy it then go further to solve.
only B satisfies, hence B is the answer.
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Let C = (a, 0)
Given A = (7, 5), B = (3, 5) & O = (0, 0)

Lengths of AB & OC are the same
\(\\
\sqrt{(3−7)^2+(5−5)^2} = \sqrt{(a−0)^2+(0−0)^2}\\
\)
a = −4
[As "a" lies on the negative x-axis!]
Point C = (-4, 0)


The slope of the line passing through A & C =\(\frac{ 0−5}{−4−7}=\frac{5}{11}\)
Only option B has slope = \(\frac{5}{11}\)

Option B
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