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Consider a parabola y = (x^(2))/(4) and the point F (0,1). Let A _(1)(x_(1), y_(1)),A _(1)(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 - and angle OFA_(k)= (k pi)/(2pi) (k =1,2,3,......, n ). Then the value of lim _( n to oo) 1/n sum _(k =1) ^(n) FA_(k), is equal to : |
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Answer» `2/pi` |
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