Question

If points (1, 2), (-5,6) and (a, -2) are
collinear, then a=​

Answer 1

Answer:

*A line which have three Or more points and they lie on same line that is called collinear points..

*When three or more than three points are lies on the same straight line than it is said to be a collinear points

*A coordinate which is having 3 points to form a same line are the collinear points

(p,1),(-3,4),(7,-1) are collinear then the value of p

yes the above question is collinear points

Answer 2

Step-by-step explanation:

Given:-

points (1, 2), (-5,6) and (a, -2) are collinear.

To find:-

Find the value of a

Solution:-

Given points are (1, 2), (-5,6) and (a, -2)

Let (x1,y1)=(1,2)=>x1=1 and y1=2

(x2,y2)=(-5,6)=>x2=-5 and y2=6

(x3,y3)=(a,-2)=>x3=a and y3=-2

If (x1,y1);(x2,y2) and (x3,y3) are collinear points then the area of the triangle formed by them is Zero.

=>Area of the triangle=0

=>(1/2)|x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|=0

=>(1/2)|1(6+2)+(-5)(-2-2)+a(2-6)|=0

=>(1/2)|8+(-5)(-4)+a(-4)|=0

=>(1/2)|8+20-4a|=0

=>(1/2)|28-4a|=0

=>28-4a=0

=>28=4a

=>4a=28

=>a=28/4

=>a=7

Answer:-

The value of a=7