Let the image of parabola $x^2=4 y$, in the line $x-y=1$ be $(y+a)^2=b(x-c), a, b, c \in N$. Then $a+b+c$ is equal to [JEE Main 2026, 24 Jan (Shift 2)]

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Let the image of parabola \(x^2=4 y\), in the line \(x-y=1\) be \((y+a)^2=b(x-c), a, b, c \in N\). Then \(a+b+c\) is equ…

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