| In the given figure, value of x (in cm) is: (CBSE 2011) |
 |
A) 4
B) 5
C) 6
D) 8
Correct Answer: B
Solution :
| [b] Here \[\frac{PA}{PQ}=\frac{2.4}{6}=0.4\] |
| \[\frac{PB}{PR}=\frac{3.2}{8}=0.4\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\frac{PA}{PQ}=\frac{PB}{PR},\,\,\,\angle P=\angle P\] |
| \[\therefore \,\,\,\,\,\,\,\,\,\,\Delta PAB\tilde{\ }\Delta PQR\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\frac{AP}{PQ}=\frac{AB}{QR}\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\frac{2.4}{6}=\frac{2}{x}\Rightarrow x=5\,cm\] |
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