IIT-JEE Exam

Let ABC and ABC be two non congruent triangles with sides AB = 4, AC = AC = 22 and angle B =30 degree. The absolute value of the difference between the areas of these triangles is

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IIT-JEE Other Question

The maximum value of the function f(x) = 2x^3 - 15 x^2 + 36x - 48 on the set A = {x|x^2 + 20 = 9x|} is? Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations:
3x - y - z = 0
-3x + z = 0
-3x + 2y +z = 0.
Then the number of such points for which x^2 + y^2 + z^2 = 100 is