Q. 93.7( 8 Votes )
Find the equation of the line which intercepts a length 2 on the positive direction of the x – axis and is inclined at an angle of 135° with the positive direction of the y – axis.
Answer :
Given, A line which cut off an intercept a length w from the x – axis.
To Find: Find the equation
Formula used: The equation of line is [(y – y1) = m(x – x1)]
Explanation: If a line is inclined at angle 135o on y – axis, then angle on the x – axis is
Angle θ = 135o and θ = (180 – 135) = 45o
Then, The slope of the line, m = tan θ
m = 1
Since the line passes through the point (2,0)
Now, The equation of line is (y – y1) = m(x – x1)
(y – 0) = 1(x – 2)
y = x – 2
x – y – 2 = 0
Hence, The equation of the line is x – y – 2 = 0.
Rate this question :
Various Forms of Equations of line45 mins
Parametric Equations of Straight line48 mins
Slope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of line23 mins
Straight line | Analyse your learning through quiz56 mins
General Equation of a line43 mins
Motion in a Straight Line - 0665 mins
Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 0372 mins
Understand The Interesting Concept Of Relative velocity in 1- Dimension44 mins
The equation of the straight line which passes through the point (-4, 3) such that the portion of the line between the axes is divided internally by the point in the ratio 5 : 3 is
RD Sharma - MathematicsFind the equations of the diagonals of the square formed by the lines x = 0, y = 0, x = 1 and y = 1.
RD Sharma - MathematicsFind the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2x + 3y = 6 which is intercepted between the axes.
RD Sharma - MathematicsFind the equation of the straight line which passes through the point P(2, 6) and cuts the Coordinates axes at the point A and B respectively so that 
.
Find the equation of the line passing through the point ( – 3, 5) and perpendicular to the line joining (2, 5) and ( – 3, 6).
RD Sharma - MathematicsFind the equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9
RD Sharma - MathematicsFind the equation of the right bisector of the line segment joining the points (3, 4) and ( – 1, 2).
RD Sharma - MathematicsFind the equations to the altitudes of the triangle whose angular points are A (2, – 2), B(1, 1), and C ( – 1, 0).
RD Sharma - Mathematics