tangents and normal

1) show that the normal at the point (3t , 4/t ) of the curve xy = 12 cuts the curve again at the point whose parametr t1 is given by t1 = -16/9t3

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62
Lokesh Verma ·

Hint: What is the slope of the line joining the coordinates given by (3t, 4/t) and t1? if it is equal to the slope of the normal at (3t, 4/t) you have proved the desired.

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