Find the slopes of the tangents to the parabola `y^2=8x` which are normal to the circle `x^2+y^2+6x+8y-24=0.`

The slopes of the common tangents to the parabola y^(2)=24x and the hyperbola 5x^(2)-y^(2)=5 are

The slope of the focal chords of the parabola y^(2) = 16x which are tangents to the circle (x – 6)^(2) + y^(2) = 2 are

The equation of the tangent to the parabola y^(2) = 8x, which is parallel to the line 2x-y+7=0 ,will be

The equation of the tangent to the parabola y^(2)=8x which is perpendicular to the line x-3y+8=0 , is

Equation of a common tangent to the parabola y^(2)=8x and the circle x^(2)+y^(2)=2 can be

The slope of the tangent to the curve y=6+x-x^(2) at (2,4) is

If m is the slope of a common tangent of the parabola y^(2)=16x and the circle x^(2)+y^(2)=8 , then m^(2) is equal to

If tangent to the parabola y^2=8x at (2,-4) also touches the circle x^2+y^2=a . then find the value of a

Find the equation of the tangent to the parabola y^(2)-6x+8y-6=0 which is inclined at an angle of 45^(@) to the x-axis.

Find the equation of the tangent to the parabola y^(2)=8x having slope 2 and also find the point of contact.