Q15 of 319 Page 23

The line segment joining the points (1, 2) and (-2, 1) is divided by the line 3x + 4y = 7 in the ratio

Let the line segment joining the points (1, 2) and (− 2, 1) be divided by the line 3x + 4y = 7 in the ratio m:n.


Then, the coordinates of this point will be that lie on the line 3x + 4y = 7



⇒ - 2 + 11 n = 7 m + 7 n


⇒ - 9 m = - 4 n


⇒ m: n = 4 : 9

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