CSIT Entrance Preparation MCQ Questions - Hamro CSIT

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The equation of a circle passing through the origin and with center (h, k) is:

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Evaluate $$lim ⁡x→0 \frac{{sin⁡5x}}{{x}}$$

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Find the maximum value of f(x) = 3×4 − 4×3.

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The area bounded by the curve y = x2 and the line y = x from x = 0 to x = 1 is:

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$$Evaluate ∫\frac{{e^{{x}}}}{{e^{{x}}+1}}dx. $$

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Find the volume of the solid formed by rotating the region bounded by y = √x and y = 0 from x = 0 to x = 4 about the x-axis.

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The cross product of a = 2i + j and b = j + 2k is:

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Find the vector projection of a = i+j onto b = i−j.

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Simplify sin⁡(2θ) cos⁡(θ) + cos⁡(2θ) sin⁡(θ).

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Solve for θ : cos⁡2θ = cos⁡θ

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