- Find x so that the points (3,-2),(x,2)and (8,8) be on a line.(ans is x=5)
2.For what value of k the points (5,5),(k,1)and(11,7)are collinear(ans is k=-7)
Let A(x1, y1), B(x2, y2) and C(x3, y3) be three point. Then, A, B, C are collinear, if
The given point are (3, – 2), (x, 2) and (8, 8). These point lie on a line. So, they are collinear.
Thus, the value of x is 5.
The given point are (5, 5), (k, 1) and (11, 7) are collinear.
Thus, the value of k is – 7.
When you want to show that 3 points lie on the line then u can proove this by showing that the area of the traingle formed by this three points is zero..
so lets find area of traingle...
after finding it we get an equation as 10x=50..
n hence x=5.......
2- Similarly we can do this Q by showing that area of the traingle formed by these piont is zero....