Correct Answer - B
Since a, b, c are the sides of a right-angled triangle with c as the largest side i.e. hypotenuse. Therefore,
`c^(2) = a^(2) + b^(2)`
Now,
`("log"_(c+b)a + "log"_(c-b)a)/("log"_(c+b)a."log"_(c-b)a)`
`= (1)/("log"_((c-b))a) + (1)/("log"_((c+b))a) = "log"_(a) (c-b) + "log"_(a) (c+b)`
` = "log"_(a) (c^(2) -b^(2)) = "log"_(a)a^(2) = 2"log"_(a)a = 2`