If the locus of the point `(4t^(2)-1,8t-2)` represents a parabola then the equation of latus rectum is

If the locus of the point (4t^(2)-1,8t-2) represents a parabola then the equation of latusrectum is

If the equation 8[(x+1)^(2)+(y-1)^(2)]=(x-y+3)^(2) represents a conic The equation of its latus rectum is

If the equation 8[(x+1)^(2)+(y-1)^(2)]=(x-y+3)^(2) represents a conic The equation of its latus rectum is

Show that the parametric point (2+t^(2),2t+1) represents a parabola. Show that its vertex is (2,1).

PQ is a double ordinate of a parabola y^(2)=4ax . The locus of its points of trisection is another parabola length of whose latus rectum is k times the length of the latus rectum of the given parabola, the value of k is

Let PQ be the focal chord of the parabola y^(2)=8x and A be its vertex. If the locus of centroid of the triangle APQ is another parabola C_(1) then length of latus rectum of the parabola C_(1) is :

If the locus of the point ((a)/(2)(t+(1)/(t)),(a)/(2)(t-(1)/(t))) represents a conic,then distance between the directrices is

Consider a point P on a parabola such that 2 of the normal drawn from it to the parabola are at night angles on parabola, then The ratio of latus rectum of given parabola and that of made by locus of point P is

Find the equation of the parabola whose vertex is (2,3) and the equation of latus rectum is x=4. Find the co-ordinates of the point of intersection of this parabola with its latus rectum.