Consider the parabola `x^2=4y` and the point F(0,1). let

Consider a parabola y = (x^(2))/(4) and the point F (0,1). Let A _(1)(x_(1), y_(1)),A _(2)(x _(2), y_(2)), A_(3)(x_(3), y_(3)),....., A_(n ) (x _(n), y _(n)) are 'n' points on the parabola such x _(k) gt 0 and angle OFA_(k)= (k pi)/(2n) (k =1,2,3,......, n ). Then the value of lim _( n to oo) 1/n sum _(k =1) ^(n) FA_(k), is equal to :

Consider the parabolas y^2=4x , x^2=4y Find the point of intersection of the two parabolas.

Consider the parabola y^(2)=4x . Let P and Q be points on the parabola wher P(4,-4)andQ(9,6) . Let R be a point on the area of the parabola between P and Q. Then the area of DeltaPQR is largest when

Consider the parabola y^(2)=4x , let P and Q be two points (4,-4) and (9,6) on the parabola. Let R be a moving point on the arc of the parabola whose x-coordinate is between P and Q. If the maximum area of triangle PQR is K, then (4K)^(1//3) is equal to

Consider the parabola y^(2)=4x , let P and Q be two points (4,-4) and (9,6) on the parabola. Let R be a moving point on the arc of the parabola whose x-coordinate is between P and Q. If the maximum area of triangle PQR is K, then (4K)^(1//3) is equal to

Consider the parabolas y^2=4x , x^2=4y Find the area bounded by these two parabolas.