In the Given figure, DE II BC. Which of the Following is True? - Bzziii

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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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