CSIT Entrance Preparation MCQ Questions - Hamro CSIT

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The derivative of e5x sin 6x is :

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$$\int_{1}^{2} \frac{\sin(\log t)}{t} \, dt$$

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2 Total 50% Correct

Consider the differential equation y′′+ y = 0 with the boundary conditions y(0) = 0 and y(π) = 0. Which of the following functions satisfies the boundary conditions?

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Let z1 and z2 be two complex numbers such that ∣z1∣=1and ∣z2∣=2. What is the maximum value of |z1+z2|?

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Solve the equation cos2x = 3/4.

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The equation x2 – 2xy cosθ +y2 represents :

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If a, b, c are the roots of the cubic polynomial x3 − 3x + 1 = 0, find the value of a4 + b4 + c4.

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The equation 4y2 + 12y + 8x + 7 = 0 represents a parabola. Find its vertex.

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Find the distance between the points (2,3,4) and (−1, 1, −1).

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Find the length of the curve y = ln (cos x) from x = 0 to x = π/4 :

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