JEE Advance - Mathematics (1979 - No. 18)
The harmonic mean of two numbers is 4.Their arithmetic mean $$A$$ and the geometric mean $$G$$ satisfy the relation. $$2A + {G^2} = 27$$
$$3$$ and $$6$$
$$2$$ and $$8$$
$$4$$ and $$4$$
$$1$$ and $$12$$
$$5$$ and $$5$$