Question

If non zero numbers a, b, c are in A.P., then $a+\frac{1}{bc},b+\frac{1}{ca},c+\frac{1}{ab}$ are in :

• A. G.P.
• B. H.P.
• C. A.P.
• D. None of these

Answer 1

Answer: (C)

A.P.

$a,b,c$ are in A.P
$\Rightarrow \frac{a}{abc},\frac{b}{abc},\frac{c}{abc}$ are in A.P
$\Rightarrow \frac{1}{bc},\frac{1}{ac},\frac{1}{ab}$ are in A.P.
Hence, $a+\frac{1}{bc},b+\frac{1}{ac},c+\frac{1}{ab}$ are in A.P