CSIT Entrance Preparation MCQ Questions - Hamro CSIT

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The points on the \(y\)-axis at distance \(\sqrt{2}\) units from the line \(x+y=1\) are

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The equation \(kx^2+xy-y^2+2x-y=0\) represents a pair of lines if \(k=\)

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If the direction ratios of a line are \(2,\,3,\,-6\), then its direction cosines are

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If x p + y q + z r = 0 , vectors p , q , r are linearly independent if

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While two dice are thrown, the probability of getting sum less than four is

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\(\lim_{x \to 0} \frac{\tan x + 4x}{x} =\)

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\(\text{If } y = \log e^{\sin(3x^2)}, \text{ then } \frac{dy}{dx} =\)

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\(\text{The points of inflection of the curve } y = x^4 – 6x^2 + 8x \text{ are}\)

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\(\int_0^{\pi/2} \cos x \cdot e^{\sin x} \, dx =\)

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\(\text{The estimate of } \int_1^2 x^2 \, dx \text{ using the Rectangle Rule with one interval is}\)

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