If `y=x+2` is normal to the parabola `y^2=4a x ,` then find the value of `adot`

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

If x+y=k is a normal to the parabola y^(2)=12x , then the value of k is-

If the line y=mx+1 is tangent to the parabola y^(2)=4x, then find the value of m .

If the line x+y=6 is a normal to the parabola y^(2)=8x at point (a,b), then the value of a+b is ___________ .

If the line x+y=6 is a normal to the parabola y^(2)=8x at point (a,b), then the value of a+b is ___________ .

If y=2x-3 is a tangent to the parabola y^(2)=4a(x-(1)/(3)) then the value of |a| is

If the line (x)/(a)+(y)/(b)=1 be a normal to the parabola y^(2)=4px ,then the value of a/p -b^2/a^2

If the line x+y=a touches the parabola y=x-x^(2), then find the value of a.

If the line x + 2y = k is normal to the parabola x^(2) – 4x – 8y + 12 = 0 then the value of k/4 is :

If x+y=k is a normal to the parabola y^(2)=12x then it touches the parabola y^(2)=px then