Ordinate of the point of the line segment joining the points (x1, y1) and (x2, y2) intersecting externally in the ration m : n is

Question

Ordinate of the point of the line segment joining the points \(\left(x_{1}, y_{1}\right)\) and \(\left(x_{2}, y_{2}\right)\) intersecting externally in the ration m : n is 

(A) \(\frac{m x_{2}-n x_{1}}{m-n}\)

(B) \(\frac{m y_{2}-n y_{1}}{m-n}\)

(C) \(\frac{m x_{2}+n x_{1}}{m+n}\)

(D) \(\frac{m y_{2}+n y_{1}}{m+n}\)

Answer 1

The correct option is (B) \(\frac{m y_{2}-n y_{1}}{m-n}\)

The ordinate refers to the y-coordinate of the point dividing the line segment externally in the ratio m : n.

The formula for the ordinate in external division is:

\(\frac{m y_{2}-n y_{1}}{m-n}\)

Answer 2

Correct option is (B) \(\frac{m y_{2}+n y_{1}}{m-n}\)