Question

Plot the points $(0,0),(2,2),(5,5)$ and they are ____________.

• A. Collinear
• B. Non-collinear
• C. Coincident
• D. None of the above

Answer 1

The correct option is A Collinear

The graph plotted gives a straight line ,i.e.its collinear

or area of these points must be zero

$=Y_2\left|\begin{array}{ccc}{x}_1& y_1& 1\\ x_2& y_2& 1\\ x_3& y_3& 1\end{array}\right|=0=Y_2\left|\begin{array}{ccc}0& 0& 1\\ 2& 2& 1\\ 5& 5& 1\end{array}\right|=Y_2\left[0\right(2-5)-0(2-5)+1(10-10\left)\right]=\frac{1}{2}\times 0=0$

$\therefore$ the given points are collinear