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.

Two straight lines having variable slopes m_(1) and m_(2) pass through the fixed points (a, 0) and (-a, 0) respectively. If m_(1)m_(2)=2 , then the eccentricity of the locus of the point of intersection of the lines is

Graph the line passing through the point P and having slope m. P=(-1,3),m=0

Find the equation of the straight line passing through the point (6,2) and having slope -3.

A variable line passing through the point P(0, 0, 2) always makes angle 60^(@) with z-axis, intersects the plane x+y+z=1 . Find the locus of point of intersection of the line and the plane.

A straight line passes through the points (a, 0) and (0, b). The length of the line segment contained between the axes is 13 and the product of their intercepts on the axes is 60. Calculate the values of a and b and find the equation of the straight line.

Graph the line passing through the point P and having slope m. P=(0,3) , slope undefined

In a plane there are 37 straight lines, of which 13 passes through the point A and 11 passes through point B. Besides, no three lines passes through one point no line passes through both points A and B and no two are parallel, then find the number of points of intersection of the straight line.

Two lines passing through the point (2, 3) make an angle of 45^0 . If the slopeof one of the lines is 2, find the slope of the other

Find the equation of the straight line which passes through the origin and the point of intersection of the lines ax+by+c=0 and a'x+b'y+c'=0 .

A straight line l passes through a fixed point (6, 8). If locus of the foot of perpendicular on line l from origin is a circle, then radius of this circle is … .