Question

Assertion (A): A line drawn parallel to any one side of a triangle intersects the other two sides proportionally. Reason (R): Parallel lines cannot be drawn to any side of a triangle. (a) Both A and Rare True and R is the correct explanation of A. (b) Both A and Rare True but R is not the correct explanation of A. (c) Ais True but R is False. (d) A is False but Ris True.-​

Answer 1

Given:

The correct option is "C"

Hence the answer is Assertion is true but reason is false.

Answer 2

Solution:

Check whether the given assertion is true or not.

Assertion (A): A line drawn parallel to any one side of a triangle intersects the other two sides proportionally.

Know that, according to the Thales theorem, "If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio."

Therefore, the given assertion is TRUE.

Check whether the given Reason is true or not.

Reason (R): Parallel lines cannot be drawn to any side of a triangle.

Understand that the given statement is FALSE as the parallel line can be drawn along any side of the triangle.

Therefore, the given Reason is FALSE.

Hence, the correct answer is option (c). i.e., A is true but R is false.