Straight Lines ...

The length of the perpendicular from the origin to a line is 7 and the line makes an angle of 150 degrees with the positive direction of the y-axis then, the equation of a line is:

A line passes through \((1,1)\) and is perpendicular to the line \(3 x+y=7\). Its \(x\)-intercept is:

What is the distance between (1, 3) and (5, 6)?

What is the acute angle between the lines represented by the equations \(y-\sqrt{3} x-5=0\) and \(\sqrt{3} y-x+6=0 ?\)

If the distances of \(\mathrm{P}(x, y)\) from \(\mathrm{A}(4,1)\) and \(\mathrm{B}(-1,4)\) are equal, then which of the following is true?

The equation of the locus of a point equidistant from the point A(1, 3) and B(-2, 1) is:

If a line is perpendicular to the line \(5 x-y=0\) and forms a triangle of area 5 square units with co-ordinate axes, then its equation is:

What can be said regarding if a line if its slope is zero?

Find distance between the parallel lines \(p(x+y)+q=0\) and \(p(x+y)-r=0\)?

The sum of squares of the distances of a moving point from two fixed points \((a, 0)\) and \((-a, 0)\) is equal to \(2 c^2\) then the equation of its locus is: