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Pls help with the question If t1 and t2 are roots of the equation t^2+bt+1 where b is an arbitrary constant . Then P.T the ine joining the points ( at1^2,2at1)and ( at2^2,2at2)alays passes through a fixed point . Also, find that point .

Pls help with the question
If t1 and t2 are roots of the equation t^2+bt+1 where b is an arbitrary constant . Then P.T the ine joining the points ( at1^2,2at1)and ( at2^2,2at2)alays passes through a fixed point . Also, find that point .

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1 Answers

Ravi
askIITians Faculty 69 Points
7 years ago
From the quadratic eqn, find the sum and product of the roots t1 and t2. Then, from the points given, find the eqn of line using 2 point form of the eqn of a straight line and substitute t1 t2 and t1+t2 with the values obtained from the eqn to obtain the answer.

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