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Match the following: List - I, List - II Let `y(x)=cos(3cos^(-1)x)` `x in [-1,1],x!=+-(sqrt(3))/2` Then `1/(y(x)){(x^2-1)(d^2y(x))/(dx^2)+(dy(x))/(dx)}` equals, 1 Let `A_1,A_2, A_n(n >2)` be the vertices of a regular polygon of `n` sides with its centre at the origin. Let ` vec a_k` be the position vector of the point `A_k ,k=1,2, ndot` If `|sum_(k=1)^(n-1)( vec a_k x vec a_(k+1))|=|sum_(k=1)^(n-1)( vec a_kdot vec a_(k+1))|,` then the minimum value of `n` is, 2 If the normal from the point `P(h ,1)` on the ellipse `(x^2)/6+(y^2)/3=1` is perpendicular to the line `x+y=8` , then the value of `h` is, 8 Number of positive solutions satisfying the equation `tan^(-1)(1/(2x)+1)+tan^(-1)(1/(4x+1))=tan^(-1)(2/(x^2))` is, 9

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