If t1,t2 are roots of t2+kt+1=0, where k is an arbitrary constant, then prove that the line joining the points (at12,2at1) and (at22,2at2) always passes through a fixed point. Also, find that fixed point.

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If t1,t2 are roots of t2+kt+1=0, where k is an arbitrary constant, then prove that the line joining the points (at12,2at1) and (at22,2at2) always passes through a fixed point. Also, find that fixed point.

If t1,t2 are roots of t2+kt+1=0, where k is an arbitrary constant, then prove that the line joining the points (at12,2at1) and (at22,2at2) always passes through a fixed point. Also, find that fixed point.

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