What is the foot of the normal if the straight line x + y + 7 = 0 is normal to the hyperbola 3x2 – 4y2 = 12 whose normal is at the point (x1, y1)?

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What is the foot of the normal if the straight line x + y + 7 = 0 is normal to the hyperbola 3x<sup>2</sup> – 4y<sup>2</sup> = 12 whose normal is at the point (x<sub>1</sub>, y<sub>1</sub>)?