[" In each of the following "],[" parabola,the equation of "],[" 1."y^(2)=12x]

Match the following . {:("Point, parabola"," ""Tangent"),("I".(3,-6)y^(2)=12x," "(a)x+y+1=0),("II".(2,4)y^(2)=8x," "(b)x+y+3=0),("III".(-2,1)x^(2)=4y," "(c)x-y+2=0):}

Find the equation of the tangent at the specified points to each of the following curves. the parabola y^(2)=4 x at (1,2)

Find the equation of each of the following parabola focus at (-1,2) directrix x-2y+3=0

In the following ,find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. y^2 = 12x

Find the vertex, focus, equation of axis, equation of axis, equation of directrix, length of latus rectum and the co-ordinates of the ends of latus rectum for the following parabolas : (i) y^(2) =8x (ii) y^(2) = -12x (iii) x^(2)=6y (iv) x^(2)=-2y .

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. y^(2)=12x .

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. y^(2)=12x .