question_answer

In the shown figure, N is the mid-point of QP. M is any point on QR. If \[\mathbf{OR}\text{ }\parallel \text{ }\mathbf{NM}\] meets PQ in O, then which one among the following is true?

A) \[ar(\Delta QMO)=ar(\Delta QNR)\]

B)  \[ar\text{ }(\Delta \text{ }MNO)=ar\text{ }(\Delta \text{ }MRN)\]

C) \[ar\text{ }(\Delta \text{ }QRN)=\frac{1}{2}ar\text{ }(\Delta \text{ PQR})\]

D) All the above

E)  None of these