A) \[2:1\]
B) \[1:2\]
C) \[1:4\]
D) \[4:1\]
Correct Answer: B
Solution :
[b] Since, \[\Delta ABC\tilde{\ }\Delta APQ\] |
\[\frac{ar(\Delta ABC)}{ar(\Delta APQ)}=\frac{B{{C}^{2}}}{P{{Q}^{2}}}\,\,\,\Rightarrow \,\,\frac{ar(\Delta ABC)}{4\cdot ar(\Delta ABC)}=\frac{B{{C}^{2}}}{P{{Q}^{2}}}\] |
\[{{\left( \frac{BC}{PQ} \right)}^{2}}=\frac{1}{4}\,\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\,\,\frac{BC}{PQ}=\frac{1}{2}\] |
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