- (√91)/3
- (√93)/3
- (√89)/3
- (√97)/3

Option 4 : (√97)/3

Calculation:

Co-ordinate of X (18,0)

Co-ordinate of Y (0,8)

Co-ordinate of A is (3, 0)

since AB∥XY, Δ OAB ∼ Δ OXY

∴ OA/OX = OB/OY

⇒ 3/18 = OB/8

⇒ OB = 4/3

AB = √OA^{2} + OB^{2}

⇒ √9 + 16/9 = (√97)/3

**∴ The length is (√97)/3**

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