If the line `y=2x+k` tangent to the parabola `y=x^(2)+3x+5` then find 'k' is

If the line y=3x+k is tangent to the parabola y^2=4x then the value of K is

If the line y=x+k is a normal to the parabola y^(2)=4x then find the value of k.

If y=2x+3 is a tangent to the parabola y^(2)=24x, then find its distance from the parallel normal.

Let a line L : 2x + y = k, k gt 0 be a tangent to the hyperbola x^(2) - y^(2) = 3 . If L is also a tangent to the parabola y^(2) = alpha x , then alpha is equal to

The triangle formed by the tangent to the parabola y=x^(2) at the point whose abscissa is k where kin[1, 2] the y-axis and the straight line y=k^(2) has greatest area if k is equal to

If the line 2x+3y+k=0 touches the parabola x^(2)=108y then k =

If the line x-3y+k=0 touches the parabola 3y^(2)=4x then the value of k is

The line y=2x-k, k ne 0 , meets the parabola y=x^(2)-4x at points A and B. If angle AOB=pi//2 , then value of k is

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