In the given figure, DE II BC. Which of the following is true?
(a) x = `\frac{"a + b"}{"ay"}`
(b) y = `\frac{"ax"}{"a + b"}`
(c) x = `\frac{"ay"}{"a + b"}`
(d) `\frac{"x"}{"y"}`=`\frac{"a"}{"b"}`
(c) x = `\frac{"ay"}{"a + b"}`
Explanation:
`"AE"/"AC"` = `"DE"/"BC"`
= `"a"/"a+b"` = `"x"/"y"`
= `"ay"/"a + b"` = x
= x = `"ay"/"a + b"`
So, the correct answer is option (c) x = `\frac{"ay"}{"a + b"}`
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