In figure, \( \mathrm{AD} \) and \( \mathrm{CE} \) are two altitudes of \( \triangle \mathrm{ABC...

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In figure, \( \mathrm{AD} \) and \( \mathrm{CE} \) are two altitudes of \( \triangle \mathrm{ABC} \). Which of the following is/are correct?
a. \( \triangle \mathrm{AEF} \sim \triangle \mathrm{CDF} \)
b. \( \triangle \mathrm{ABD} \sim \triangle \mathrm{CBE} \)
c. \( \triangle \mathrm{AEF} \sim \triangle \mathrm{ADB} \)
d. \( \triangle \mathrm{FDC} \sim \triangle \mathrm{BEC} \)
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