Question

AB and CD are two chords of a circle intersecting at P inside the circle. If $PA=1cm,PB=1.6cm$, then

• A. $PC\cdot PD=1.6cm$
• B. $PA\cdot PC=1.6cm$
• C. $PB\cdot PD=1.6cm$
• D. $PB\cdot PC=1.6cm$

Answer 1

The correct option is A $PC\cdot PD=1.6cm$

We have,

$PA=1cm,PB=1.6cm$

$AB$ and $CD$ are two chords of a circle intersecting at point $P$ inside the circle.

We know that

$PC.PD=PA.PB$

$PC.PD=1\times 1.6$

$PC.PD=1.6cm$

Hence, this is the answer.