The equation of the line passing through...

The equation of the line passing through the point of intersection of the lines `2x+y-4=0, x-3y+5 =0 ` and lying at a distance of `sqrt5` units from the origin, is

A

`x-2y-5=0`

B

` x+2y -5=0`

C

`x+2y +5=0`

D

`x-2y +5=0`

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

STRAIGHT LINE
TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
STRAIGHT LINE
TARGET PUBLICATION|Exercise CRITICAL THINKING|68 Videos
SETS, RELATIONS AND FUNCTIONS
TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES
TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line passing through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0 and at a distance 7/5 from the point (3, 2)

The equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and

Find the equation of a line passing through the intersection of the lines y=2(x-1) and y=3x-5 and which is at a distance of (7)/(sqrt(2)) units from origin.

Find the equations of the line passing through the point of intersection of the lines 3x-2y+4 = 0 , 2x-5y = 1 and whose distance from (2, –1) is 2 .

Find the equation of the line passing through the point of intersection of the lines x+y+1=0 and x-y+1=0 whose distance from origin is 1 unit.

The equation of the line passing through the point of intersection of the lines 2x+y=5 and y=3x-5 and which is at the minimum distance from the point (1,2) is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x-3y+7=0 and 7x+4y+2=0 is

The equation of the line passing through the point of intersection of the line x-3y+2=0 and 2x+5y-7=0 and perpendicular to the line 3x+2y+5=0 is

TARGET PUBLICATION-STRAIGHT LINE -COMPETITIVE THINKING

If the equation of the base of an equilateral triangle is 2x - y=1 and...
Text Solution
|
P is a point on the line y+2x=1, and Qa n dR two points on the line 3y...
Text Solution
|
The equation of the line passing through the point of intersection of ...
Text Solution
|
A straight line makes an intercept on the Y-axis twice as along as tha...
Text Solution
|
The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3). Find th...
Text Solution
|
The equation of one of the line parallel to 4x -3y=5 and at a unit dis...
Text Solution
|
The vertices of a triangle are A(-1,-7),B(5,1), and C(1,4). The equati...
Text Solution
|
Number of points having distance sqrt(5) from the straight line x - 2...
Text Solution
|
On the portion of the straight Straight Line from line x + y = 2 which...
Text Solution
|
The equation of straight line equally inclined to the axes and equidis...
Text Solution
|
The distance between the line 3x+ 4y =9 and 6x+ 8y =15 is
Text Solution
|
The distance between the parallel lines y=x +a, y =x+ b is
Text Solution
|
The line L given by x/5 + y/b = 1 passes through the point (13,32).the...
Text Solution
|
Let alpha be the distance between lines -x+y=2 and x-y=2 and beta be ...
Text Solution
|
The line (k + 1)x + ky-2k^2-2=0 passes through a point regardless of t...
Text Solution
|
If the line ax+by+c=0 always passes through the fixed point (1,-2) th...
Text Solution
|
If l, m, n are in AP, then the line lx+my+n=0 will always pass through...
Text Solution
|
If a , b ,c are in harmonic progression, then the straight line ((x/a)...
Text Solution
|
The incentre of the triangle formed by the straight line having 3 as X...
Text Solution
|
The equations of the sides of a triangle are x-3y=0,4x+3y=5,3x+y=0. Th...
Text Solution
|