The distance between two parallel lines ...

The distance between two parallel lines is unity. A point `P` lies between the lines at a distance `a` from one of them. Find the length of a side of an equilateral triangle `PQR` vertex `Q` of which lies on one of the parallel lines and vertex `R` lies on the other line.

Topper's Solved these Questions

THE STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
THE STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise For Session 2|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 distance between the two parallel lines is 1 unit. A point A is chosen to lie between the lines at a distance 'd' from one of them Triangle ABC is equilateral with B on one line and C on the other parallel line. The length of the side of the equilateral triangle is

The distance between two parallel lines can be taken out by the formula

Shortest distance between two parallel lines in vector + cartesian form

ABC is an equilateral triangle such that the vertices B and C lie on two parallel at a distance 6. If A lies between the parallel lines at a distance 4 from one of them then the length of a side of the equilateral triangle.

The distance between two parallel lines is p^(1)-p equation of one line is x cos alpha+y sin alpha=p then the equation of the 2^(nd) line is

Find the points on the line x+y=4 that lies at a unit distance from the line 4x+3y=10 .

If the point (a,a) lies between the lines |x + y| = 2 , then which one of the following is correct ?

Line joining the mid-point of a side of a triangle to opposite vertex is Median

Let the base of a triangle lie along the line x=a and be of length a. The area of this triangle is a2, if the vertex lies on the line

If a is the length of one of the sides of an equilateral triangle ABC, base BC lies on x -axis and vertex B Is at the origin,find the co- ordinates of the vertices of the triangle.

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)

The distance between two parallel lines is unity. A point P lies betwe...
Text Solution
|
The lines parallel ot the x-axis and passing through the intersection ...
Text Solution
|
A straight line through the point A(3, 4) is such that its intercept ...
Text Solution
|
If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...
Text Solution
|
The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...
Text Solution
|
Let P = (-1, 0), Q = (0, 0) and R = (3, 3sqrt3) be three points. The e...
Text Solution
|
The perpendicular bisector of the line segment joining P (1, 4) and...
Text Solution
|
The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...
Text Solution
|
The line L given by x/5+y/b=1 passes through the point (13, 32). Th...
Text Solution
|
A straight line L through the point (3,-2) is inclined at an angle 60^...
Text Solution
|
The lines L(1) : y - x = 0 and L(2) : 2x + y = 0 intersect the line ...
Text Solution
|
If the line 2x + y = k passes through the point which divides the line...
Text Solution
|
A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...
Text Solution
|
For a gt b gt c gt 0 if the distance between (1,1) and the point of i...
Text Solution
|
Let P S be the median of the triangle with vertices P(2,2), Q(6,-1) ...
Text Solution
|
Let a,b, c and d be non-zero numbers. If the point of intersection of...
Text Solution
|
For a point P in the plane let d(1)(P)and d(2) be the distance of the ...
Text Solution
|
The number of points, having both co-ordinates as integers, that lie i...
Text Solution
|
Two sides of a rhombus are along the lines,x-y+1=0 and 7x-y-5=0 . If ...
Text Solution
|