126
Questions number $19$ and $20$ are Assertion and Reason based questions. Two statements are given, one labelled as Assertion (A) and the other is labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.
Assertion (A): $ABCD$ is a trapezium with $DC \parallel AB$. $E$ and $F$ are points on $AD$ and $BC$ respectively, such that $EF \parallel AB$. Then $\frac{AE}{ED} = \frac{BF}{FC}$
Reason (R): Any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally.
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.
Assertion (A): $ABCD$ is a trapezium with $DC \parallel AB$. $E$ and $F$ are points on $AD$ and $BC$ respectively, such that $EF \parallel AB$. Then $\frac{AE}{ED} = \frac{BF}{FC}$
Reason (R): Any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally.
Show SolutionHide Solution↓
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).