Q. 14.4( 8 Votes )

# Find the coordinates of the point which divides the line segment joining the points (3, 5) and (7, 9) internally in the ratio 2 : 3.

Answer :

We know that

Coordinates of a point P(x,y) dividing the line segment joining A (x_{1}, y_{1}) and B (x_{2}, y_{2}) in the ratio m:n internally are

We have A → (3, 5)

and B → (7, 9).

Coordinates of point P(x,y) dividing AB in the ratio 2:3 internally are

is the required point.

Rate this question :

Find the coordinates of the point which divides the line segment joining the points (5, –2) and externally in the ratio 7 : 9.

Rajasthan Board MathematicsFind the coordinates of the mid–point of the line joining the points (22, 20) and (0, 16).

Rajasthan Board MathematicsIn what ratio is the line segment joining the points (2, –3) and (5, 6) is divided by y-axis?

Rajasthan Board MathematicsOne end of a line segment is (4, 0) and mid–point is (4, 1) then find the coordinates of the other end of the line segment.

Rajasthan Board MathematicsThe point P divides the line segment joining the points (5, 0) and (0, 4) in the ratio 2 : 3 internally. The coordinates of P are:

Rajasthan Board MathematicsProve that the mid–point of the line segment joining the points (5, 7) and (3, 9) is the same as the mid–point the line segment joining the points (8, 6) and (0, 10).

Rajasthan Board MathematicsIn what ratio does the point (3, 4) divide the line segment joining the points (1, 2) and (6, 7)?

Rajasthan Board MathematicsIf the point P(3, 5) divides the line segment joining the points A(–2, 3) and B in the ratio 4 : 7 then find the coordinates of B.

Rajasthan Board Mathematics