Problem

Problem

If the curve x2=−4(y−a)x^2 = -4(y - a) does not intersect the curve y=[x2−x+1]y = [x^2 - x + 1] (where [.][.] denotes the greatest integer function) in [0,1+52]\left[0, \frac{1+\sqrt{5}}{2}\right] , then a. 13<a<1\frac{1}{3} < a < 1 b. −1<a<1-1 < a < 1 c. 14<a<1\frac{1}{4} < a < 1 d. None of these

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