Question

If the points (0,0), (a, 1) and (8,1) are collinear then the value of a is
a. 2.
b. -8
c. 8
d. 0​

Answer 1

Answer:

c. is the answer . if three points are colliner then they didnt make triange. thats condition..

Answer 2

Concept

A group of three or more points that are located along the same straight line is called collinear points. On different planes, collinear points may exist, but not on different lines. If the determinant is obtained by putting the x-coordinates in the first column, the y-coordinates in the second column, and the one’s in the third column equal to zero, then three points are collinear. This is an if and only if condition.

Given

Given that the points (0, 0), (a, 1), and (8, 1) are collinear.

Find

We have to find the value of a.

Solution

$\left[\begin{array}{ccc}0&0&1\\a&1&1\\8&1&1\end{array}\right]$

i.e. a - 8 = 0 [Expanding with respect to the 1st row]

i.e. a = 8.

Therefore, the value of a is 8.

#SPJ3