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

If x + y = k is a normal to the parabola y^(2) = 12x then the value of k 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=24 x , then find its distance from the parallel normal.

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

Statement 1: The line a x+b y+c=0 is a normal to the parabola y^2=4a xdot Then the equation of the tangent at the foot of this normal is y=(b/a)x+((a^2)/b)dot Statement 2: The equation of normal at any point P(a t^2,2a t) to the parabola y^2 = 4ax is y=-t x+2a t+a t^3

If the normals to the parabola y^2=4a x at the ends of the latus rectum meet the parabola at Q and Q^(prime), then Q Q^(prime) is

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

If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find the value of adot

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.