Question

Verify whether the points (-2,3), (4,2) and (10,1) are collinear or not.​

Answer 1

Given:-

• A(-2,3), B(4,2) andC (10,1)

To find:-

• Whether these points are collinear or not

Solution:-

formula

=>$\frac{1}{2}$x1(y2-y3)+x2(y3-y1)+x3(y1-y2)

put value in formula

=>$\frac{1}{2}$. ×-2(2-1)+4(1-3)+10(3-2)

=>$\frac{1}{2}$. × -2(1)+4(-2)+10(1)

=>$\frac{1}{2}$. × -2-8+10

=>$\frac{1}{2}$ × -10+10

=>$\frac{1}{2}$×0

=0

hence ,these points are collinear

Extra information:-

• colinear points are the points which lie on same line
• Three points are collinear if the value of area of triangle formed by three points is zero

Thanks

hope its helpful

Answer 2

Step-by-step explanation:

Given:-

A(-2,3), B(4,2) andC (10,1)

To find:-

Whether these points are collinear or not

Solution:-

formula

=>\frac{1}{2}

2

1

x1(y2-y3)+x2(y3-y1)+x3(y1-y2)

put value in formula

=>\frac{1}{2}

2

1

. ×-2(2-1)+4(1-3)+10(3-2)

=>\frac{1}{2}

2

1

. × -2(1)+4(-2)+10(1)

=>\frac{1}{2}

2

1

. × -2-8+10

=>\frac{1}{2}

2

1

× -10+10

=>\frac{1}{2}

2

1

×0

=0

hence ,these points are collinear

Extra information:-

colinear points are the points which lie on same line

Three points are collinear if the value of area of triangle formed by three points is zero

Thanks