Let the image of parabola

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Let the image of parabola x2=4yx^2 = 4y, in the line x−y=1x - y = 1 be (y+a)2=b(x−c)(y + a)^2 = b(x - c), a,b,c∈Na, b, c \in \mathbb{N}. Then a+b+ca + b + c is

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