Question

& the point A(-3,12), B(7,6)& c(x,9)
are collinear, then the value of x

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Answer 1

Answer:

X = -5

Step-by-step explanation:

QUESTION : -

The Point A(-3,12), B(7,6)& c(x,9)are collinear, then the value of x.

Solution:

GIVEN POINTS :

A(-3,12), B(7,6)& c(x,9)

Now ,

If three points are collinear there area must be zero.

Area

= 0.5 [ x1 ( y2 - y3 ) + x2 ( y3 - y1 ) + x3 (y1 - y3 )

= 0

Now ,

0 = 0.5 [ -3 (-3) -7 (-3) + x(6) ]

0 = 0.5 [ 9 + 21 + 6x ]

6x = -30

x = -5

Hence ,

The value of X is -5.