P is a point on the parabola `y^2= 4ax and PQ` is its focal chord. If PT is tangent at P and QN is normal at Q, the angle `alpha`, between `PT and QN` , distance between PT and QN is 'd' then

(0)(2sqrt(1+1^2))/(1^2) (C) 3 P is a point ‘t' on the parabola y2= 4ax and PQis a focal chord. PT is a tangent at P and QN is a normal at Q. The minimum distance between PT and QN is equal to 150 (B) a V1+t + (A) 0 1+ t2 a(t2 2

P(alpha,alpha) is a point on the parabola y^(2)=4ax . Show that the normal chord of the parabola at P subtends a right angle at its focus.

The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal chord then distance between them is

In Figure 1, O is the centre of a circle,PQ is a chord and PT is the tangent at P .If angle POQ =70, then angleTPQ is equal to

Q is any point on the parabola y^(2) =4ax ,QN is the ordinate of Q and P is the mid-point of QN ,. Prove that the locus of p is a parabola whose latus rectum is one -fourth that of the given parabola.

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is