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Binomial Theorem — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsBinomial Theorem1 Mark
MCQ
$[$ AS $1]$ If $\text{A}=\frac{1}{3}\text{B}$ ​and $\text{B}=\frac{1}{2}\text{C},$ then $\text{A : B : C} = ..$
  • ✓
    $1 : 3 : 6$
  • B
    $2 : 3 : 6$
  • C
    $3 : 2 : 6$
  • D
    $3 : 1 : 2$
✓

Answer

Correct option: A.
$1 : 3 : 6$
$\text{A}=\frac{\text{B}}{3}....(1)$
$\text{B}=\frac{\text{C}}{2}$
$\Rightarrow\text{C}=2\text{B}.....(2)$
From $(1)$ and $(2),$
$\text{A}:\text{B}:\text{C}=\frac{\text{B}}{3}:\text{B}:2\text{B}$
$=\frac{1}{3}:1:2$
$=1:3:6$

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