[" The equation of circle(s) that touch the parabola "75y^(2)=64(5x-3)" at "((6)/(5),(8)/(5))" and the "x" ."],[" axis is/ are "]

Find the centre and radius of the smaller of the two circles that touch the parabola 75y^(2)=65(5x-3) at ((6)/(5),(8)/(5)) and the X axis.

Find the centre and radius of the smaller of the two circles that touch the parabola 75y^2 = 64 (5x-3) at (6/5,8/5) and the x-axis.

Find the centre and radius of the smaller of the two circles that touch the parabola 75y^2 = 65(5x-3) at (6/5 , 8/5) and the X axis.

The equation of the axis of the parabola 3x^(2)-9x+5y-2=0 is

Find the equations of axis and directrix of the parabola y^(2)+6y-2x+5=0.

The equation of the common tangent touching the parabola y^2 = 4x and the circle ( x - 3)^2 +y^2 = 9 above the x-axis is

Find the equation of the tangent to the parabola 3y^(2)=8x, parallel to the line x-3y= 5.

The equation of the normal to the parabola y^(2)=5x . Which makes an angle of 45^(@) with the x-axis is -