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Find the equation of the normal to the h...

Find the equation of the normal to the hyperbola `3x^(2)-4y^(2)=12` at the point `(x_(1),y_(1))` on it. Hence, show that the straight line `x+y+7=0` is a normal to the hyperbola. Find the coordinates of the foot of the normal.

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The correct Answer is:
`(-4,-3)`
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