The line `x - b + lamda. y = 0` cuts the parabola `y^2 = 4ax` (a>0) at P(t1) & Q(t2). If `b in [2a, 4a]` then range of `t_1t_2` where `lamda in R`, is

The line x - b +lambda y = 0 cuts the parabola y^(2) = 4ax (a gt 0) at P(t_(1)) and Q(t_(2)) . If b in [2a, 4a] then range of t_(1)t_(2) where lambda in R is

Normal at P(t1) cuts the parabola at Q(t2) then relation

IF the normal to the parabola y^2=4ax at point t_1 cuts the parabola again at point t_2 , prove that t_2^2ge8

Tangents drawn to the parabola y^(2)=8x at the points P(t_(1)) and Q(t_(2)) intersect at a point T and normals at P and Q intersect at a point R such that t_(1) and t_(2) are the roots of equation t^(2)+at+2=0;|a|>2sqrt(2) then locus of R is

If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2), 2t) then the value of t, is

If the normal to the parabola y^(2)=4ax at point t_(1) cuts the parabola again at point t_(2) .Then the minimum value of t_(2)^(2) is

If the normal to the parabola y^(2)=4ax at point t_(1) cuts the parabola again at point t_(2) then prove that t_(2)^(2)>=8

The normal at t_(1) and t_(2) on the parabola y^(2)=4ax intersect on the curve then t_(1)t_(2)