Find the equation of the straight lines touching both `x^2+y^2=2a^2` and `y^2=8a xdot`

Find the equation of the straight lines touching lines both x^2+y^2=2a^2 and y^2=8ax .

Find the differential equation of all straight lines touching the circle x^2+y^2=a^2

Find the equation of the family of circles touching the lines x^(2)-y^(2)+2y-1=0

Find the equation of the straight line passing through the point (2, -6) and the point of intersection of the lines 5x-2y+14=0 and 2y=8-7x .

Find the equation of the straight line which passes through the point (2, -2) and the point of intersection of the lines 5x-y=9 and x+6y=8 .

Find the equations of the straight lines passing through the point (-3, 2) and making an angle of 45^(@ with the straight line 3x-y+4=0 (A) x-2y+7=0,2x+y+4= (B) x+2y+7=0,2x-y+4=0(c) x-2y-7=0,2x+y+4=0 (D) x-2y-7=0,2x+y-4=0

Find the equation of the straight line passing through the point (2, 5) and perpendicular to the line 2x+5y=31 .