To solve this problem, we need to analyze the given statements:$\newline$Assertion (A): Amniocentesis for sex determination is one of the strategies of Reproductive and Child Health Care Programme.$\newline$Reason (R): Ban on amniocentesis checks increasing menace of female foeticide.$\newline$Let's break down each statement:$\newline \bullet$Assertion (A):$\newline$ - Amniocentesis is a prenatal diagnostic technique used to determine genetic disorders and the sex of the fetus.$\newline$ - However, using amniocentesis for sex determination is not a strategy of the Reproductive and Child Health Care Programme.$\newline$ - The programme aims to improve maternal and child health, not to promote sex determination.$\newline$ - Hence, Assertion (A) is false.$\newline \bullet$Reason (R):$\newline$ - The ban on amniocentesis for sex determination is indeed aimed at preventing female foeticide.$\newline$ - Female foeticide is a significant social issue, and the ban helps in reducing this practice.$\newline$ - Hence, Reason (R) is true.$\newline$Now, let's determine the relationship between (A) and (R):$\newline \bullet$Since Assertion (A) is false and Reason (R) is true, (R) cannot be the explanation for (A).$\newline$Therefore, the most appropriate answer is Option 4: A is false but R is true.