Question

Ratio of areas of $\Delta MNO,\Delta MOP$ and $\Delta MPQ$ in Fig. is

• A. $2:1:3$
• B. $1:3:2$
• C. $2:3:1$
• D. $1:2:3$

Answer 1

The correct option is A $2:1:3$

Option (a) is correct
Area of triangle $MNO=\frac{1}{2}\times NO\times MO$
$=10c{m}^2$
Area of triangle $MOP=\frac{1}{2}\times PQ\times MQ$
$\frac{1}{2}\times 2\times 5$
$=5c{m}^2$
Therefore, $=105$
Area of triangle $MOP=\frac{1}{2}\times PQ\times MQ$
$\frac{1}{2}\times 6\times 5$
$=15c{m}^2$
Therefore, required ratio $=10:5:15=2:1:3$