Straight Line a...

The equations of two lines through (0,a) which are at distance \'a\' from the point (2a, 2a) are

A line is such that its segment between the straight lines 5x – y – 4 = 0 and 3x + 4y – 4 = 0 is bisected at the point (1, 5) then its equation is

Equation of the line which passes through the point (–4,3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point, is

The equation of the line which cuts off the intercepts 2a sec θ and 2a cosec θ on the axes is

If the equation y = mx + c and x cos α + y sin α = p represents the same straight line, then

The equation to the line bisecting the join of (3, –4) and (5,2) and having its intercepts on the x-axis and the y-axis in the ratio 2 : 1 is

A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is

A straight line makes an angle of 135^o with the x-axis and cuts y-axis at a distance –5 from the origin. The equation of the line is

A straight line through P(1,2) is such that its intercept between the axes is bisected at P. Its equation is