Question: The points $( - a, - b),\mspace{6mu}(0,0),\mspace{6mu}(a,b)$ and $(a^{2},ab)$ are....

Question

The points $( - a, - b),\mspace{6mu}(0,0),\mspace{6mu}(a,b)$ and $(a^{2},ab)$ are.

Answer 1

Solution

Here area of quadrilateral is equal to area of $\triangle A B D$ +area of $\triangle B C D$

$= \left| \begin{array} { r r r } - a & - b & 1 \\ 0 & 0 & 1 \\ a ^ { 2 } & a b & 1 \end{array} \right| + \left| \begin{array} { r r r } 0 & 0 & 1 \\ a & b & 1 \\ a ^ { 2 } & a b & 1 \end{array} \right| = 0$

Hence the points are collinear. (vr% fcUnq lejs[kh; gSaA)

Question: The points \(( - a, - b),\mspace{6mu}(0,0),\mspace{6mu}(a,b)\) and \((a^{2},ab)\) are....

Solution