Q. 184.5( 2 Votes )
Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0.
Answer :
The equation of any line parallel to the y – axis is of the form
x = a -------- (1)
The two given lines are
x – 7y + 5 = 0 ---------(2)
3x + y = 0 ------- (3)
Multiply eq (2) with 3 and subtract eq(3) from it to get,
3x - 21y + 15 - 3x - y = 0
-22y = -15
Put value of y in eq(3) to get,
Thus,
is the point of intersection of lines (2) and (3).
Since, line x = a pass through point 
a = 
Therefore, the required equation of the line is x = 
Rate this question :
Various Forms of Equations of line45 mins
Slope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of line23 mins
Parametric Equations of Straight line48 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
Motion in a Straight Line - 0755 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