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CAT 1994 — QA Question 10

Number TheoryEasy

If a + b + c = 0, where a ≠ b ≠ c, then a22a2+bc+b22b2+ac+c22c2+ab is equal to

Answer & solution

Correct answer: 1

  • A

    zero

  • 1

  • C

    -1

  • D

    abc

Solution

Assume some values of a, b & c such that sum of a, b and c is 0 where a ≠ b ≠ c, and find the value of the given expression.
Let a = 1, b = -1 and c = 0.

⇒a22a2+bc+b22b2+ac+c22c2+ab=12+12 + 0 = 1.

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CAT 1994 QA Q10: If a + b + c = 0, where a ≠ b ≠ c, then a 2 2 a 2 + b c + b 2 2 b 2 + a c + c 2 2 c 2 + a b is equal to — Solution | TheCATExam