6please somebody solve it completely!!!!!!!!!!!!!
The tangent to a variable point P on the curve y=x2-x3 meets the curve again at Q. Show that the locus of the middle point of PQ is y=1-9x+28x2-28x3!!!!!!!!!!!!!!
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4 Answers
11I know the method but not the answer!
1. Find equation of the tgt at P:-
You know P and u know the slope of tgt at P. So find equation of tgt.
2. Find pt of intersection :-
Find where the tgt meets the curve again by solving the two equations. Get Q.
3. Get the mid point of PQ and hope for the best :-
Mid point of PQ will hopefully be (x,1-9x+28x2-28x3)!!!!!!!!
