Math, asked by maisyadhis, 1 month ago

A friangle has vector A(2,5) B(1,-2)C(-5,1) Determine
The equation of Bc​

Answers

Answered by mishravijay0117
14

Answer:

Answer

M is a point which divides the line segment AB internally in the ratio 1:2 because it is on AB and not on the extended portion of AB.

To find the coodrinates of a point (X,Y) which divides a line segment joining (x

A

,y

A

) and (x

B

,y

B

) internally in the ratio m:n, we use the formula:

X=

m+n

mx

B

+nx

A

and

Y=

m+n

my

B

+ny

A

So the point M can be found with the formula:

x

M

=

3

2x

A

+x

B

=

3

2×2−1

=1 and

y

M

=

3

2y

A

+y

B

=

3

2×5+2

=4

Thus, the coordinates of the point M are (1,4)

The equation of the line passing through points C and M can be obtained using the two-point form of line equation as:

x−x

C

y−y

C

=

x

M

−x

C

y

M

−y

C

x−5

y−8

=

1−5

4−8

=1

⇒x−y+3=0

Thus the equation of the line passing through the points C and M is x−y+3=0

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