Q. 113.8( 112 Votes )

A line perp

Answer :

We know that the coordinates of a point dividing the line segment joining the points (x1, y1) and (x2, y2) internally in the ratio m: n are .



We know that slope, m =


m =


We know that two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.


m = (-1/m) =


We know that the point (x, y) lies on the line with slope m through the fixed point (x0, y0), if and only if, its coordinates satisfy the equation y – y0 = m (x – x0)


Here, the point is.



3((1 + n) y 3) = (-(1 + n) x + 2 + n)


3(1 + n) y 9 = - (1 + n) x + 2 + n


(1 + n) x + 3(1 + n) y n 9 2 = 0


(1 + n) x + 3(1 + n) y n 11 = 0


Ans. The equation of the line is (1 + n) x + 3(1 + n) y – n – 11 = 0.


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