Find the minimum length of focal chord of the parabola `y=5x^(2)+3x`

Find the length of that focal chord of the parabola y^(2) = 4ax , which touches the rectangular hyperbola 2xy = a^(2) .

Find the length of focal chord of the parabola x^(2)=4y which touches the hyperbola x^(2)-4y^(2)=1 _________

Find the length of the normal chord of the parabola y^(^^)2=4x drawn at (1,2)

Find the length of the common chord of the parabola y^(2)=4(x+3) and the circle x^(2)+y^(2)+4x=0

If t is the parameter of one end of a focal chord of the parabola y^(2) = 4ax , show that the length of this focal chord is (t + (1)/(t))^(2) .

If (x _(a), y_(1))and (x_(2), (y_(2)) are the end points of a focal chord of the parabola y ^(2) = 5x, then 4 x _(1) x_(2)+y_(1)y_(2)=

The locus of the middle points of the focal chords of the parabola,y^(2)=4x is: