Two straight lines pass through the fixed points `(+-a, 0)` and have slopes whose products is `pgt0` Show that the locus of the points of intersection of the lines is a hyperbola.

Find the number of point of intersection of two straight lines .

A straight line passes through a fixed point (6, 8). Find the locus of the foot of the perpendicular on it drawn from the origin is.

A straight line passes through a fixed point (6,8) : Find the locus of the foot of the perpendicular drawn to it from the origin O.

Find the slope of the line passing through the given two point (a, 0) and (0, b)

What is slope of line passing through points (4, 6 ) and (1, - 2) ?

Let A(a,0) and B(b,0) be fixed distinct points on the x-axis, none of which coincides with the O(0,0) , and let C be a point on the y-axis. Let L be a line through the O(0,0) and perpendicular to the line AC. The locus of the point of intersection of the lines L and BC if C varies along is (provided c^2 +ab != 0 )

Find the slope of the line passing through the given two point (0, 0) and ( sqrt(3),3)

Two lines passing through the point (2, 3) intersects each other at an angle of 60^(@) . If slope of one line is 2, find equation of the other line.

A straight line is passing through the point A(1,2) with slope 5/12 . Find points on the line which are 13 units away from A.

Find the equation of the straight lines each passing through the points (6, -2) and whose sum of the intercepts is 5.