Correct option is (D) No similarity
Given that : In \(\triangle PQR,\) PQ = 6, QR = 10 & \(\angle PQR=90^\circ\)
& In \(\triangle LMN,\) LM = 3, MN = 4 & \(\angle LMN=90^\circ\)
\(\because\) \(\frac{PQ}{LM}=\frac63=\frac21\)
& \(\frac{QR}{MN}=\frac{10}4=2.5\)
\(\because2\neq2.5\)
\(\therefore\) \(\frac{PQ}{LM}\neq\frac{QR}{MN}\)
\(\therefore\) \(\triangle PQR\) is not similar to \(\triangle LMN.\)
Hence, there is no similarity between both triangles.