Home
Class 12
MATHS
Let PS be the median of the triangle wit...

Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1, -1) and parallel to PS is

A

`4x-7y-11=0`

B

`2x+9y+7=0`

C

`4x+7y+3=0`

D

`2x-9y-11=0`

Text Solution

Verified by Experts

Coordinate of `S=((7+6)/(2),(3-1)/(2))=((13)/(2),1)` [` :' S` is mid-point of line `QR`]

Slope of the line `PS` is `(-2)/(9)`.
Required equation passes through `(1,-1)` and parallel to `PS` is
`y+1=(-2)/(9)(x-1)`
`implies2x+9y+7=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let PS be the median of the triangle with vertices P(2,""2),""Q(6,-1)""a n d""R(7,""3) . The equation of the line passing through (1,-1) and parallel to PS is (1) 4x-7y-11""=""0 (2) 2x+""9y+""7""=""0 (3) 4x+""7y+""3""=""0 (4) 2x-9y-11""=""0

The equation of the plane passing through (1,2,3) and parallel to 3x-2y+4z=5 is

The equation of a straight line passing through (5, 7) and is parallel to y-axis is ___.

Write the equation of the line passing through the point (1,-1) and parallel to the line x+3y -4=0

The equation of line through (2,1) and parallel to x+2y=5 is :

Find the equation of the lines passing through the point (1,1) and (-2,3)

Find the equation of the lines passing through the point (1,1) with slope 3