If the line passing through the focus S of the parabola $y = a x^{2} + b x + c$ meets the parabola at P and Q and if SP=4 and SQ=6, then find values of a.

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If the line passing through the focus S of the parabola

y = a x^{2} + b x + c

meets the parabola at P and Q and if SP=4 and SQ=6, then find values of a.

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Question Text

If the line passing through the focus S of the parabola

y = a x^{2} + b x + c

meets the parabola at P and Q and if SP=4 and SQ=6, then find values of a.

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