Home
Class 12
MATHS
Two straight lines passing through the p...

Two straight lines passing through the point A(3, 2) cut the line `2y=x+3` and x-axis perpendicularly at P and Q respectively. The equation of the line PQ is

A

`7x+y-21=0`

B

`x+7y+21=0`

C

`2x+y-8=0`

D

`x+2y+8=0`

Text Solution

Verified by Experts

The correct Answer is:
A

`:'` Coordinates of Q are (3, 0) & it passes through PQ.
`:.` Putting the values of `(x=3)` & `(y=0)` in options we get :
Equation of line `PQ=7x+y-21=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

A straight line through the point A(-2, -3) cuts the line x+3y=9 and x+y+1=0 at B and C respectively. Find the equation of the line if AB.AC = 20 .

A straight line through the point A (-2,-3) cuts the line x+3y=9 and x+y+1=0 at B and C respectively. If AB.AC =20 then equation of the possible line is

A straight line L passing through the point P(-2,-3) cuts the lines, x + 3y = 9 and x+y+1=0 at Q and R respectively. If (PQ) (PR) = 20 then the slope line L can be (A) 4 (B) 1 (C) 2 (D) 3

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is

A straight line through the point A(1,1) meets the parallel lines 4x+2y=9&2x+y+6=0 at points P and Q respectively.Then the point A divides the segment PQ in the ratio:

The equation of the straight line passing through the point (4,3) with slope 2 is 2x-y-5=0 .

A straight line through the origin o meets the parallel lines 4x+2y= 9 and 2x +y+ 6=0 points P and Q respectively. Then the point o divides the segment PQ in the ratio: : (A) 1:2 (B) 3:2 (C) 2:1 D) 4:3

A straight line through the origin 'O' meets the parallel lines 4x+2y=9 and 2x+y=-6 at points P and Q respectively.Then the point 'divides the segment PQ in the ratio