question_answer

The parallel sides of a trapezium are x and y respectively. The line joining the points of its non-parallel sides will be:

A)  \[\sqrt{xy}\]                             

B)  \[\frac{2xy}{x+y}\]

C)  \[\frac{\left( x+y \right)}{2}\]  

D)  \[\frac{1}{4}(x-y)\]

Correct Answer: C

Solution :

(c): Here as ABCD is trapezium So, \[EF=\frac{1}{2}\left( AB+DC \right)\] \[\Rightarrow \] \[EF=\frac{1}{2}\left( x+y \right)\] \[\therefore \]\[\left\{ AB=y,\text{ }DC=x \right\}\]