Question

explain what is wrong in the information provided in the adjacent figure (do not take actual measurements).OP=4,BQ=5​

Answer 1

Given:

OP=4

BQ=5​

$\mathrm{OQ}=\text { radius of first circle }+\text { radius of second circle }=\mathrm{OP}+\mathrm{BQ}=4+5=9 \text { units }$

$\angle \mathrm{OBQ}=90^{\circ} \quad(\text { Tangent is perpendicular to the radius })$

$\text { in right } \Delta \mathrm{OBO} \text {, we have }$

$\begin{aligned}\mathrm{OB} &=\sqrt{\mathrm{OQ}^{2}-\mathrm{BQ}^{2}} \\&=\sqrt{9^{2}-5^{2}} \\&=\sqrt{81-25} \\& \neq 8\end{aligned}$

$\text { the measurement of PB is marked wrong }$

Hence the value of PB is wrong because of this we can say that teh information is wrong