120221 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

120222 What is the slope of the normal at the point \(\left(a t^2, 2 a t\right)\) of the parabola \(y^2=4 a x\) ?

120223 If the parabola \(y=\alpha x^2-6 x+\beta\) passes through the point \((0,2)\) and has its tangent at \(x=\frac{3}{2}\) parallel to \(x\)-axis, then

120224 The point of contact of the tangent \(x+2 y+2=\) 0 with the parabola \(x^2=16 y\) is

120221 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

120222 What is the slope of the normal at the point \(\left(a t^2, 2 a t\right)\) of the parabola \(y^2=4 a x\) ?

120223 If the parabola \(y=\alpha x^2-6 x+\beta\) passes through the point \((0,2)\) and has its tangent at \(x=\frac{3}{2}\) parallel to \(x\)-axis, then

120224 The point of contact of the tangent \(x+2 y+2=\) 0 with the parabola \(x^2=16 y\) is

120221 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

120222 What is the slope of the normal at the point \(\left(a t^2, 2 a t\right)\) of the parabola \(y^2=4 a x\) ?

120223 If the parabola \(y=\alpha x^2-6 x+\beta\) passes through the point \((0,2)\) and has its tangent at \(x=\frac{3}{2}\) parallel to \(x\)-axis, then

120224 The point of contact of the tangent \(x+2 y+2=\) 0 with the parabola \(x^2=16 y\) is

120221 The equation of one of the common tangents to the parabola \(y^2=8 x\) and \(x^2+y^2-12 x+4=0\) is

120222 What is the slope of the normal at the point \(\left(a t^2, 2 a t\right)\) of the parabola \(y^2=4 a x\) ?

120223 If the parabola \(y=\alpha x^2-6 x+\beta\) passes through the point \((0,2)\) and has its tangent at \(x=\frac{3}{2}\) parallel to \(x\)-axis, then

120224 The point of contact of the tangent \(x+2 y+2=\) 0 with the parabola \(x^2=16 y\) is