Answer :

We know that the coordinates of a point dividing the line segment joining the points (x_{1}, y_{1}) and (x_{2}, y_{2}) 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 (x_{0}, y_{0}), if and only if, its coordinates satisfy the equation y – y_{0} = m (x – x_{0})

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.

Rate this question :

The equation of tRD Sharma - Mathematics

Find the equationRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

Find the equationRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

Find the equationRD Sharma - Mathematics

Find the equationRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics

<span lang="EN-USRD Sharma - Mathematics