Q. 14.4( 188 Votes )

Determine the rat

Answer :

Let the given line divide the line segment joining the points A(2, - 2) and B(3, 7) in a ratio k : 1

Coordinates of the point of division = ()


This point also lies on 2x + y - 4 = 0


Therefore,


2 () + () – 4 = 0


= 0


9k – 2 = 0


k =


Hence, the ratio in which the line 2x + y - 4 = 0 divides the line segment joining the points A(2, - 2) and B(3, 7) is 2:9.

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