. ABCD is a square PQRS is a rhombus lying inside the square such that P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. A point is selected at random in the square. Find the probability that lies in the rhombus A.1/3 B. 2/3 C. 1/2 D. 1/4

• PQRs will be square joining mid pt of square we get square area of ABCD=AB×AB in triangle APQ angleA =90 so PQ×PQ=AP×AP+AQ×AQ AP =AQ PQ×PQ=(AB×AB)/2 probability =AB×AB/(2×AB×AB)=1/2 is answer
• 6 years agoHelpfull: Yes(1) No(2)