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Solution


Q.

Assertion (A): In a triangle, if a line is drawn parallel to one side of the triangle and it intersects the other two sides, then it divides those two sides proportionally.

Reason (R): The Basic Proportionality Theorem states that if a line parallel to one side of a triangle intersects the other two sides, then the segments created are proportional.
1 Both A and R are true, and R is the correct explanation of A.  
2 Both A and R are true, but R is not the correct explanation of A.  
3 A is true, but R is false.  
4 A is false, but R is true.  

Ans.

(1)

We know that in a triangle, if a line is drawn parallel to one side of the triangle and it intersects the other two sides, then it divides those two sides proportionally.
It is known as Basic Proportionality Theorem.

Both Assertion (A) and Reason (R) is true, and Reason (R) is the correct explanation of Assertion (A).