Let $OA = a, OB = b$ be two non-collinear vectors, $OP = x_1 a + y_1 b, OQ = x_2 a + y_2 b$ and $A^{\prime}O = OA, B^{\prime}O = OB$. If $x_1 = -\frac{3}{4}, x_2 = \frac{1}{3}, y_1 = \frac{7}{4}, y_2 = \frac{5}{3}$, then

• A
  $P$ lies inside the $\triangle A^{\prime}OB$ and $Q$ lies outside the $\triangle AOB$
• B
  $P$ lies outside the $\triangle AOB^{\prime}$ and $Q$ lies on the $\triangle A^{\prime}OB^{\prime}$
• C
  $P$ lies inside the $\triangle AOB$ and $Q$ lies outside the $\triangle AOB^{\prime}$
• D
  $P$ lies on the $\triangle A^{\prime}OB$ and $Q$ lies outside the $\triangle AOB$