question_answer

A rectangle is inscribed in a circle with a diameter lying along the line \[3y=x+7.\] If the two adjacent vertices of the rectangle are (-8, 5) and (6, 5), then the area of the rectangle (in sq. units) is :-             [JEE Main 9-4-2019 Afternoon]

A) 72                               

B) 84

C) 98                               

D) 56

Correct Answer: B

Solution :

  \[\frac{3(a+5)}{2}=-1+7\]   \[a+5=\frac{2(6)}{3}\] \[a=-1\] sides = 6 and 14 \[\Rightarrow \]\[A=84\]