Question

If the line segment joining (2,3) and (-1,2) is
divided internally in the ratio 3:4 by the
graph of the equation x+2y =k, then the
value of k is​

Answer 1

Answer:

If the line segment joining (x

1

,y

1

) and (x

2

,y

2

) is divide by internally in the ratio m

1

:m

2

then the intersection point is

x=

m

1

+m

2

m

1

x

2

+m

2

x

1

and

y=

m

1

+m

2

m

1

y

2

+m

2

y

1

so

x=

3+4

3×(−1)+4×2

=

7

5

y=

3+4

3×(2)+4×3

=

7

18

this point (

7

5

,

7

18

) lies on given equation of line.

satisfying the equation

7

5

+2×

7

18

=k

k=

7

41

Answer 2

Step-by-step explanation

Ans :- K = 41/7