The vertices of a triangleOBC are O(0,0)...

The vertices of a `triangleOBC` are `O(0,0) , B(-3,-1), C(-1,-3)`. Find the equation of the line parallel to BC and intersecting the sides OB and OC and whose perpendicular distance from the origin is `1/2`.

Text Solution

Verified by Experts

The correct Answer is:

`2x+2y+sqrt(2)=0`

Topper's Solved these Questions

THE STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos
THE STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos
THE STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
SETS, RELATIONS AND FUNCTIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
THEORY OF EQUATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The vertices of a /_OBC are O(0,0),B(-3,-1),C(-1,-3). Find the equation of the line parallel to BC and intersecting the sides OB and OC and whose perpendicular distance from the origin is (1)/(2) .

The vertices of a triangle OBC are O(0,0),B(-3,-1),C(-1,-3) . Equation of line parallel to BC & intersecting the sides OB & OC whose perpendicular distance from the point (0,0) is 1/(sqrt(2)) is ax+by+2=0 then the value of (a^(4)+b^(4))/4 is

Find the equation of the plane through the intersection of the planes x+3y+6=0 and 3x-y-4z=0 , whose perpendicular distance from the origin is unity.

The vertices of DeltaABC are A(-3,2) , B(0,3) and C(1,0) . Find the equation of the median through B .

Find the equation of the line through the point of intersection of,the lines x-3y+1=0 and 2x+5y-9-0 and whose distance from the origin is sqrt(5)

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.

Find the equation of a line with slope -1 and whose perpendicular distance from the origin is equal to 5

Find the equation of a line with slope –1 and whose perpendicular distance from the origin is equal to 5.

Find the equation of plane(s) passing through the intersection of planes x+3y+6=0 and 3x-y-4z=0 and whose perpendicular distance from origin is unity.

The vertices of a triangle ABC are A (2,3,1) , B(-2, 2,0), and C(0,1,-1). What is the magnitude of the line joining mid points of the sides AC and BC ?

ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 2

The number of lines that are parallel to 2x + 6y -7= 0 and have an int...
Text Solution
|
The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is
Text Solution
|
Let the algebraic sum of the perpendicular distances from the points (...
Text Solution
|
If the quadrilateral formed by the lines a x+b y+c=0,a^(prime)x+b^(pri...
Text Solution
|
The area of the parallelogram formed by the lines 3x-4y + 1=0, 3x-4y +...
Text Solution
|
Area of the parallelogram formed by the lines y = mx, y = mx + 1,y = n...
Text Solution
|
The co-ordinates of a point on the line y = x where perpendicular di...
Text Solution
|
A line passes through the point (2,2) and is perpendicular to the lin...
Text Solution
|
If the point (1,2) and (34) were to be on the same side of the line 3x...
Text Solution
|
The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rh...
Text Solution
|
What are the points on the x-axis whose perpendicular distance from th...
Text Solution
|
The three sides of a triangle are given by (x^2 - y^2)(2x+3y-6) = 0. I...
Text Solution
|
Are the points (3,4) and (2,-6) on the same or opposite sides of the l...
Text Solution
|
If the point as (4,7) and (costheta,sintheta) , where 0<theta<pi , lie...
Text Solution
|
Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...
Text Solution
|
If the area of the parallelogram formed by the lines 2x - 3y + a = 0 ,...
Text Solution
|
A line L is a drawn from P(4,3) to meet the lines L-1a n dL2 given by ...
Text Solution
|
The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3). Find th...
Text Solution
|