If the locus of the middle points of all such chords of the parabola `y^2=8x` which has a length of z units has the `y^4+l y^2(2-x)=mx - n` where `l, m, n in N`, find the value of `(l+m+n)`

Find the locus of the middle points of the chords of the parabola y^(2) = 4x which touch the parabola x^(2) = -8y .

Find the locus of the middle points of the chords of the parabola y^(2) = 4x which touch the parabola x^(2) = -8y .

If x and y vary inversely, find the values of l, m and n :

If x and y vary inversely, find the values of l, m and n :

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

The length of the chord intercepted on the line 2x-y+2=0 by the parabola x^(2)=8y is l then l=

L_(1):x+y=0 and L_(2)*x-y=0 are tangent to a parabola whose focus is S(1,2). If the length of latus-rectum of the parabola can be expressed as (m)/(sqrt(n)) (where m and n are coprime then find the value of (m+n)