A) \[1:3{{k}^{2}}\]
B) \[1:4{{k}^{2}}\]
C) \[1:{{k}^{2}}\]
D) \[1:2{{k}^{2}}\]
Correct Answer: C
Solution :
Let the sides of a parallelogram are x, y and xk, yk,. Since, sides of two parallelogram are in 1 : k \[\Delta ABC\sim \Delta PQT\] \[\frac{AC}{PT}=\frac{BC}{QT}\]\[\Rightarrow \]\[\frac{BC}{QT}=\frac{y}{yk}=\frac{1}{k}\] Let \[BC=z\] and \[QT=zk\] Ratio of areas of two similar parallelogram are in \[=\frac{xz}{zk+zk}=\frac{1}{{{k}^{2}}}\]You need to login to perform this action.
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