MCQ
Statement (A): If $a, b, c$ and d are in proportion then $\frac{d}{b}=\frac{c}{d} \Rightarrow a d=b c$
Statement (B): If $a, b$ and $c$ are in continued proportion, then, $b=\sqrt{a c}$
Which of the statement is valid?
  • A
    Only A
  • B
    Only B
  • Both A and B
  • D
    Neither A nor B

Answer

Correct option: C.
Both A and B
(c) Both A and B
Explanation:
If $a, b, c$ and $d$ are in propartion then, product of extreme terms $(a d)=$ product of middle terms $(b c)$.
And, if $a, b$ and $c$ are in continued propartion and $b$ is the mean propotional of $a$ and $c$, then
$\frac{a}{b}=\frac{b}{c} \Rightarrow b^2=a c$
$b=\sqrt{a c}$

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