Answer-If a + b + c = 14 and ab + bc + ca = 60, then find the value of a² + b² + c².

Since, a b c a b c 2 ab bc ca So, a b c 14 2 x 60 196 - 120 76

Question

If a + b + c = 14 and ab + bc + ca = 60, then find the

value of a² + b² + c².

A 76 Correct Answer Incorrect Answer

B 80 Correct Answer Incorrect Answer

C 100 Correct Answer Incorrect Answer

D 56 Correct Answer Incorrect Answer

Since, (a + b + c) ² = a² + b² + c² + 2 (ab + bc + ca) So, a² + b² + c² = (14)² – 2 x 60
= 196 - 120 = 76

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