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

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 latus rectum is (1) x-5=0 (2) 2x-7=0 (3) x+5=0 (4) none of these

If (x-h)^(2)=4a(y-k) represents a parabola then ends of latusrectum

Find the locus of the point (t^(2)-t+1,t^(2)+t+1),t in R

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

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

The locus of the point x=(t^(2)-1)/(t^(2)+1),y=(2t)/(t^(2)+1)

If the normals drawn at the points t_(1) and t_(2) on the parabola meet the parabola again at its point t_(3) , then t_(1)t_(2) equals.