If point P is `(at^2;2at)` then the length of the chord PQ is `a(t+1/t)^2`

If the point (at^(2),2at) be the extremity of a focal chord of parabola y^(2)=4ax then show that the length of the focal chord is a(t+(1)/(t))^(2)

If the point ( at^2,2at ) be the extremity of a focal chord of parabola y^2=4ax then show that the length of the focal chord is a(t+t/1)^2 .

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 the point P(4, -2) is the one end of the focal chord PQ of the parabola y^(2)=x, then the slope of the tangent at Q, is

If (t^(2),2t) is one end ofa focal chord of the parabola,y^(2)=4x then the length of the focal chord will be:

Prove that in a parabola,a circle of any focal radii of a point P(at^(2),2at) as diameter touches the tangent at the vertex and intercepts a chord of length a[(1+t^(2))]^(0.5) on a normal at the point P.

Let P(at_(1)^(2),2at_(1)) and Q(at_(2)^(@),2at_(2)) are two points on the parabola y^(2)=4ax Then,the equation of chord is y(t_(1)+t_(2))=2x+2at_(1)t_(2)