- The peduncle shows an indefinite growth: This is correct. In Cotoneaster, the peduncle exhibits indefinite growth, meaning it does not stop growing as it continues to produce flowers.
- The peduncle shows a definite growth: This is incorrect. The peduncle in Cotoneaster does not show a definite or limited growth, which is typically seen in other types of plants with definite growth patterns.
- The flowers are borne in an acropetal manner on peduncle: This is correct. In Cotoneaster, flowers develop in an acropetal manner, meaning that the younger flowers are borne towards the tip of the inflorescence, with older flowers towards the base.
- The flowers are borne in a basipetal manner on peduncle: This is incorrect. A basipetal pattern means that the younger flowers are borne at the base, which does not occur in Cotoneaster.
Thus, the correct statements are (1) The peduncle shows an indefinite growth and (3) The flowers are borne in an acropetal manner on peduncle.