Question

In given figure if $AC,BC$ and $AB$ are tangents to circle at $Q,R$ and $P$ respectively. $AP=x,BR=y,CQ=z$ find $BC$.

• A. $x$
• B. $x+y$
• C. $y+z$
• D. $x+y+z$

Answer 1

The correct option is C $y+z$

In given figure

$BC=BR+CR$

$BC=y+CQ$

$BC=y+z$ .... $(\because CR=CQ=z)$(Tangents drawn from an external point to a circle)