If $$a > 0, b > 0, c > 0$$ and the minimum value of $$a\left( {{b^2} + {c^2}} \right) + b\left( {{c^2} + {a^2}} \right) + c\left( {{a^2} + {b^2}} \right)$$ is $$\lambda abc$$ then $$\lambda $$ is
A.
2
B.
1
C.
6
D.
3
Answer :
6
Solution :
Use $$A \geqslant G$$ for the numbers $$a{b^2},a{c^2},b{c^2},b{a^2},c{a^2},c{b^2}.$$
Releted MCQ Question on Algebra >> Sequences and Series
Releted Question 1
If $$x, y$$ and $$z$$ are $${p^{{\text{th}}}},{q^{{\text{th}}}}\,{\text{and }}{r^{{\text{th}}}}$$ terms respectively of an A.P. and also of a G.P., then $${x^{y - z}}{y^{z - x}}{z^{x - y}}$$ is equal to:
If $$a, b, c$$ are in G.P., then the equations $$a{x^2} + 2bx + c = 0$$ and $$d{x^2} + 2ex + f = 0$$ have a common root if $$\frac{d}{a},\frac{e}{b},\frac{f}{c}$$ are in-