91Ó°ÊÓ

Find a point on the \(x\) -axis, which is equidistant from the points \((7,6)\) and \((3,4)\).

Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points \(\mathrm{P}(0,-4)\) and \(\mathrm{B}(8,0)\).

Find the equation of the line which satisfy the given conditions: Intersecting the \(x\) -axis at a distance of 3 units to the left of origin with slope \(-2\).

Find the equation of the line which satisfy the given conditions: Intersecting the \(y\) -axis at a distance of 2 units above the origin and making an angle of \(30^{\circ}\) with positive direction of the \(x\) -axis.

Find the distance between parallel lines (i) \(15 x+8 y-34=0\) and \(15 x+8 y+31=0\) (ii) \(l(x+y)+p=0\) and \(l(x+y)-r=0\).

Find the slope of the line, which makes an angle of \(30^{\circ}\) with the positive direction of \(y\) -axis measured anticlockwise.

Find the equation of the line which satisfy the given conditions: Passing through the points \((-1,1)\) and \((2,-4)\).

Find equation of the line parallel to the line \(3 x-4 y+2=0\) and passing through the point \((-2,3)\).

Find the equation of the line which satisfy the given conditions: Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive \(x\) -axis is \(30^{\circ}\).

Find equation of the line perpendicular to the line \(x-7 y+5=0\) and having \(x\) intercept \(3 .\)