1.

If centroid of triangle formed by (t,t2),(−t2,−2t) and (3,4) is incentre of the triangle formed by the points (0,0),(3,0) and (0,4). Then number of solutions of the equation cos2θ+5cosθ=2t in (0,2π) is

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If centroid of triangle formed by (t,t2),(t2,2t) and (3,4) is incentre of the triangle formed by the points (0,0),(3,0) and (0,4). Then number of solutions of the equation cos2θ+5cosθ=2t in (0,2π) is



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