A straight line drawn through the point ...

A straight line drawn through the point `P(sqrt3,2)` making angle of `30^@` with x-axis. Determine the length of the line measured from this point where it meets the line `sqrt(3)x-4y+8=0`. Also find equation of the line through P.

Topper's Solved these Questions

STATISTICS AND MATHEMATICAL REASONING
PATHFINDER|Exercise QUESTION BANK|115 Videos
TRANSFORMATION FORMULAE
PATHFINDER|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line through the point A(2,3) and making an angle of 45∘ with the x axis Also determine the length of intercept on it between A and the line x+y+1=0

A straight line is drawn through the point P(2,3) and is inclined at an angle of 30^@ with the x-axis . Find the coordinates of two points on it at a distance 4 from point P.

Find the equation of the straight line equidistant from the point (2,-2) and the line 3x-4y+1=0.

A straight line passes throught the point (-1,4) and makes an angle 60^(@) with the positive direction of the x- axis . Find the equation of the straight line.

Find the equation of line passing through the point (2,-3) and parallel with the line 3x-4y+6=0 .

A straight line through the point (3, -2) is inclined at an angle 60^(@) to the line sqrt3x+y=1 . If it intersects the X-axis, then its equation will be

Find the equation of the lines through the point (3, 2) which make an angle of 45^(@) with the line x - 2y = 3 .

Find the equation of the line passing through the point (2,3) and bot to the straight line 4x-3y=10.

Find the equation of the lines through the point (3, 2) which make an angle of 45^0 with the line x-2y=3 .

Find the coordinates of the foot of the perpendicular drawn from the point P(1,-2) on the line y = 2x +1. Also, find the image of P in the line.

PATHFINDER-STRAIGHT LINE-QUESTION BANK

The line x/a-y/b=1 cuts the x-axis at P. Find the equation of the line...
Text Solution
|
Find the value of lambda for which the lines 3x+4y=5,5x+4y=4 and lambd...
Text Solution
|
If sum of the slopes of the lines x^2+kxy-3y^2=0 is twice the product ...
Text Solution
|
Find the condition for which the lines joining the origin to the point...
Text Solution
|
Find the condition by which the bisectors of the lines x^2-2pxy-y^2=0 ...
Text Solution
|
Find the equation of the line passing through (1,1) and parallel to th...
Text Solution
|
Find the equation of the line passing through the point (2,3) and bot ...
Text Solution
|
Find the number of lines that are parallel to 2x+6y-7=0 and have an in...
Text Solution
|
If the lines 4x+3y=1,y=x+5 and 5y+bx=3 are concurrent, then find the v...
Text Solution
|
A straight line is such that the portion of it intercepted between the...
Text Solution
|
A straight line passes through (1,1) and portion of the line intercept...
Text Solution
|
If p is the length of perpendicular from the origin to the line whose ...
Text Solution
|
Find the angle between the lines joining the points (0,0) (2,3) and (2...
Text Solution
|
Find the equation of the line which has y-intercept 4 units and is par...
Text Solution
|
Prove that the lines 2x-3y-7=0,3x-4y-13=0 and 8x-11y-33=0 are concurre...
Text Solution
|
Find the distance between the lines 9x+40y-20=0 and 9x+40y+103=0.
Text Solution
|
Find the equation of a line through the intersection of the lines 2x+3...
Text Solution
|
A straight line drawn through the point P(sqrt3,2) making angle of 30^...
Text Solution
|
If A (11,9) and B(5,7) are two points on a line. Find the coordinates ...
Text Solution
|
Find the equation-of the bisector of the obtused angle between the st...
Text Solution
|