A) TFT
B) TTF
C) FTT
D) FFT
Correct Answer: A
Solution :
Statement (i) is true \[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{2}{5}\] and \[\frac{\pi r_{1}^{2}}{\pi r_{2}^{2}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}={{\left( \frac{2}{5} \right)}^{2}}\] \[=\frac{4}{25}\] Statement (ii) is false Area of rhombus = base\[\times \]vertical height \[=14\times 14=196\,c{{m}^{2}}.\] Statement (iii) is true: \[\frac{\pi r_{1}^{2}}{\pi r_{2}^{2}}=\frac{25}{36}\] \[\Rightarrow \]\[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{5}{6}\] Ratio of their circumference \[=\frac{2\pi {{r}_{1}}}{2\pi {{r}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{5}{6}\]
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