1)What normal to the curve y+x^2 forms the shortest chord?
2)Tangent at a point P1 (other than (0,0) on the curve y=x^3 meet the curve again at P2 . The tangent at P2 meets the curve at P3 and so on..Show that the abscissae of P1, P2, ......Pn form a G.P.Also find the ratio [area(P1 P2 P3]/[Area P2 P3 P4]?
Answers:
1)root2 x - 2y +2=0
2)1/16