Statement-1 (A): If a+b+c=5 and a b+b c+c a=10, then a^3+b^3+c^3-… - Vidyadip

MCQ

Statement-1 (A): If $a+b+c=5$ and $a b+b c+c a=10$, then $a^3+b^3+c^3-3 a b c=25$
Statement-2 (R): $a^3+b^3+c^3-3 a b c=(a+b+c)\left\{(a+b+c)^2-3(a b+b c+c a)\right\}$

A
Statement- 1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B
Statement- 1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is true, Statement-2 is false.
✓
Statement-1 is false, Statement-2 is true.

✓

Answer

Correct option: D.

Statement-1 is false, Statement-2 is true.

d

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