Find the equation of the straight line u...

Find the equation of the straight line upon which the length of the perpendicular from the origin is `5a n d` the slope of this perpendicular is `3/4dot`

Text Solution

Verified by Experts

The standard equation of line is` y=mx+c`
given `m=3/4 and c=5`
substituting the values we get `y=3/4x+5 `
`4y=3x+20 `
we get, `4y=3x+20` is the required answer.

Topper's Solved these Questions

THE CIRCLE
RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
TRANSFORMATION FORMULAE
RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line upon which the length of the perpendicular from the origin is 2 and the slope of this perpendicular is (5)/(12) .

Find the equation of the straight line upon which the length of the perpendicular from the origin is 2 and this perpendicular makes an angle of 30^0 with the positive direction of y-axis (in clockwise direction .

Find the equation of the straight line on which the length of the perpendicular from the origin is 2 and the perpendicular makes an angle alpha with x -axis such that sin alpha=(1)/(3)

Find the equation of the straight line upon which the length of perpendicular from origin is 3sqrt(2) units and this perpendicular makes an angle of 75^(@) with the positive direction of x- axis.

Find the equation of the line on which the length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of x- axis is 30^(0) .

Find the equation of the straight line on which the length of the perpendicular from the origin is 4 units and the line makes an angle of 120^(@) with positive direction of x- axis.

The length of the perpendicular from the origin to the line 3x-4y+5=0

Find the length of the perpendicular from the origin to the line 4x+3y-2=0

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises

Find the locus of a point which moves in such away that the square of ...
Text Solution
|
Find the equation of the straight line on which the length of the p...
Text Solution
|
Find the equation of the straight line upon which the length of the ...
Text Solution
|
A line forms a triangle of area 54sqrt(3)s q u a r e units with the co...
Text Solution
|
A straight canal is 4 1/2m i l e s from a place and the shortest route...
Text Solution
|
Find the equation of the line on which the length of the perpendicular...
Text Solution
|
Find the equation of the straight line on which the length of the p...
Text Solution
|
Find the equation of a straight line on which the perpendicular from ...
Text Solution
|
The slope of a straight line through A(3,2) i s 3//4 Find the coordin...
Text Solution
|
Find the equation of the line through the point A(2,3) and making an a...
Text Solution
|
If the straight line through the point (3,4) makes an angle pi/6 with ...
Text Solution
|
The angle between the diagonals of a quadrilateral formed by the line...
Text Solution
|
Find the equation of two straight lines which are parallel to x+7y+2=0...
Text Solution
|
Show that the lines 4x+y-9=0,x-2y+3=0,5x-y-6=0 make equal intercepts o...
Text Solution
|
Find the value of m for which the lines m x+(2m+3)y+m+6=0 and m x+(2m+...
Text Solution
|
The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n...
Text Solution
|
A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0a n dx-y-5=0 ...
Text Solution
|
Explain BPT Theorem
Text Solution
|
Transform the equation of the line sqrt(3)x+y-8=0 to (i) slope interce...
Text Solution
|
Find the distance of the point (2,3) from the lilne 2x-3y+9=0 measured...
Text Solution
|