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Shashank Shah

· started a discussion

· 1 Months ago

Provide general SOlution (Question: 108135.0 )

Please don't skip basic solution . Besides giving tricks also provide detailed solution

Question:

If \(\cfrac{a + b -c}{a + b} = \cfrac{b + c -a}{b + c}=\cfrac{c + a -b}{c + a}\)  and a + b + c ≠ 0, then:

Options:
A)

a ≠ b = c

B)

a ≠ b ≠ c

C) a = b = c
D) a = b ≠ c
Solution:
Ans: (c)

\(\cfrac{a+b-c}{a+b}=\cfrac{b+c-a}{b+c}=\cfrac{c+a-b}{c+a}\)

Checking it from options :

Option (c) : a = b = c

\(\cfrac{a+a-a}{a+a} = \cfrac{1}{2}\)

and also, we can see that the expression is satisfying.

Hence, option (c) is the correct option.

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