If two intersecting chords of a circle make equal angles with diameter passing through their point of intersection, prove that the chords are equal.

If a circle passes through the points of intersection of the axes with the lines ax-y+1=0 and x-2y+3=0 then a=

The equation of the line passing through the point of intersection of lines x+y-5=0, 2x-y+4=0 and having intercepts numerically equal is

The equation of the line passing through the point of the intersection of the lines x+y-5=0, 2x-y+4=0 and having intercepts numerically equal is

Find the equation of the straight line making non zero equal intercepts on the co ordinate axes and passing through the point of intersection of the lines 2x-5y+1=0 and x-3y-4=0 .

Find the equation of the line passing through the point of intersection of 2x-5y+1=0, x-3y-4=0 and making equal interecepts on the axes.

When two lines intersect the _______angles are equal.

Two circles touching both the axes intersect at (3,-2) then the coordinates of their other point of intersection is

If two circles touching both the axes are passing through (2,3) then length of their common chord is

When two straight line intersects the opposite angles at the point of intersection are called…..