1.

The line segment AB is divided at M [3,3] internally in the ratio 5:2 and co-ordinates of point B [-3,3].Find the co-ordinates of point A ​

Answer»

Answer:

The line SEGMENT is (3,−3) and B(−2,7)

Let the point on x - axis be (x,0) which divides the line in the ratio of m:n. Then,

USING section formula,

(x,y)=(

m+n

m×x

2

+n×x

1

,

m+n

m×y

2

+n×y

1

)

0=

m+n

7m−3n

7m=3n

n

m

=

7

3

Thus, the coordinates of x-axis will be:

x=

7+3

3(−2)+7(3)

x=

10

15

=

2

3

Thus, the line segment AB is divided in the ratio

7

3

at the point (

2

3

,0)

Thus, 2 times the x-coordinate is 3


Discussion

No Comment Found

Related InterviewSolutions