If a₁, a₂, a₃, …… aₙ ∈ R, then (x - a₁)² + (x - a₂)² + …… + (x - aₙ)² = 0 assumes its least value at:
x = \(\frac{a_1+a_2+a_3+\cdots+a_n}{n}\)
x = 2(a₁+a₂+a₃+…+aₙ)
x = n(a₁+a₂+a₃+…aₙ)
x = 2\(\frac{a_1+a_2+a_3+\cdots+a_n}{n}\)
If the system of equation 3x - 2y = 8, 2ax + (a-b)y = 48 has infinitely many solutions then:
A cylindrical vessel of inner radius 4 cm contains water up to some height. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by:
\( \frac{9}{2} \) cm
\( \frac{2}{9} \) cm
\( \frac{9}{4} \) cm
\( \frac{4}{9} \) cm
Study the given pattern carefully and select the number that can replace the question mark (?) in it.