Question

In the given figure, seg XY || seg BC, then which of the following statements is true?

विकल्प

• `"AB"/"AC" = "AX"/"AY"`

• `"AX"/"XB" ="AY"/"AC"`

• `"AX"/"YC" = "AY"/"XB"`

• `"AB"/"YC" = "AC"/"XB"`

Answer 1

Given: seg XY || seg BC
`"AX"/"BX" = "AY"/"YC"`    .......(By basic proportionality theorem)

⇒ `("BX"/"AX") + 1 = ("YC"/"AY") + 1`

⇒ `("BX" + "AX")/"AX" = ("YC" + "AY")/"AY"`

⇒ `"AB"/"AX" = "AC"/"AY"`

⇒ `"AB"/"AC" = "AX"/"AY"`

Hence, the correct option is `"AB"/"AC" = "AX"/"AY"`