In the given diagram OC = 1.5 × OA, then OB is equal to : 1. 3 × OD 2. 1.5 × OD 3. 2/3 × OD 4. OD

From figure, In △ OAB and △ OCD, ⇒ ∠AOB = ∠COD (Vertically opposite angles are equal) ⇒ ∠OAB = ∠OCD (Alternate angles are equal) ⇒ ∠OBA = ∠ODC (Alternate angles are equal) ∴ △ OAB ~ △ OCD (By A.A.A. postulate) Given, ⇒ OC = 1.5 × OA ⇒ . We know that, Corresponding sides of similar triangle are in proportion. Hence, Option 3 is the correct option.