Question

If the point (0,0), (1,2) and (x,y) are collinear, then find the relationship between x and y.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The relationship between x and y :

y = 2x

Step-by-step explanation:

Let given points A(0,0),B(1,2) and C(x,y)

$Then, x_{1}=0, y_{1}=0,\\</p><p>x_{2}=1, y_{2}=2,\\</p><p>x_{3}=x, y_{3}=y,$

$We\: know\:,\\</p><p>area\:of \: triangle\: ABC\\=\frac{1}{2}|x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})|=0$

/* Given , A,B and C are collinear */

$\implies |0(2-y)+1(y-0)+x(0-2)|=0$

$\implies |y-2x|=0$

$\implies y = 2x$

Therefore,

The relationship between x and y :

y = 2x

•••♪