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    Sum of n terms of series 12 + 16 + 24 + 40 + .... will be

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    The equation  represents the equation of a circle with ω, ω2 as extremities of a diameter, then λ, is. (where ω, ω2 are cube roots of unity)

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    From the bottom of pole of height h, the angle of elevation of the top of a tower is α. The pole subtends an angle β at the top of the tower. Then the height of the tower is:

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    The area bounded by the curves x + 2|y| = 1 and x = 0 is:

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    If b2 ≥ 4 ac for the equation ax4 + bx2 + c = 0, then all the roots of the equation will be real if-

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