question_answer

If the four sides of a quadrilateral ABCD are tangential to a circle, which of the following is true?

A)  \[\text{AC}+\text{AD}=\text{BD}+\text{CD}\]

B)  \[\text{AB}+\text{CD}=\text{BC}+\text{AD}\]

C)  \[\text{AB}+\text{CD}=\text{AC}+\text{BD}\]

D)  \[~\text{AC}+\text{AD}=\text{BC}+\text{AB}\]

Correct Answer: B

Solution :

 Given sides of a quadrilateral ABCD are tangential to a circle. \[\therefore \] \[\text{7}\times \text{13}+\text{13}\]