Question

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

• A. AP
• B. GP
• C. HP
• D. None

Answer 1

Answer: (A)

AP

We have,

$a,b,c$ are in $A.P$

On dividing by $abc$, we get

$\frac{a}{abc},\frac{b}{abc},\frac{c}{abc}$ are also in $A.P$

$\frac{1}{bc},\frac{1}{ca},\frac{1}{ab}$ are also in $A.P$

Hence, this is the answer.