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Delhi University MCA Previous Year Questions (PYQs)

Delhi University MCA Calculus PYQ

Delhi University MCA PYQ
If $\int \sin^2x\cos3xdx=\frac{\sin{x}}{a}+\frac{\sin{3x}}{b}-\frac{{\sin5x}}{c}$, then a+b+c=





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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2019 PYQ

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Delhi University MCA PYQ
If f(x) = ax3 + bx2 + x + 1 has a local maxima value 3 at the point of local maxima x = - 2, then f(2) is equal to :





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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2019 PYQ

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Delhi University MCA PYQ
If the Newton-Raphson method is applied to find a real root of  f(x) = 2x2 + x - 2 = 0 with initial approximation x0 = 1. Then the second approximation x2 is





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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2019 PYQ

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Delhi University MCA PYQ
The greatest value of the function  y = sin x . sin2x on (-∞, +∞)





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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2019 PYQ

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Delhi University MCA PYQ

If $$ f(x) = \begin{cases} \dfrac{1}{|x|}, & |x| > 2 \\ A + Bx^2, & |x| \leq 2 \end{cases} $$ Then $f(x)$ is differentiable at $x = -2$ for

(a) A = $\tfrac{3}{4}$ ,B = $-\tfrac{1}{16}$
(b) A = $-\tfrac{3}{4}$ , B = $\tfrac{1}{16}$
(c) A = $-\tfrac{3}{4}$ ,B = $-\tfrac{1}{16}$
(d) A = $\tfrac{3}{4}$, B = $\tfrac{1}{16}$






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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2021 PYQ

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Delhi University MCA PYQ
Let f(x) = sin8x + cos8x. Then the function f increases in the interval





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Delhi University MCA PYQ
The equation $e^{x-8}+2x-17=0$ has _____real root(s),





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Delhi University MCA PYQ
The area of the plane region by the curves x + 2y2 = 0 and x + 3y2 = 1 above x axis is equal to 





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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2019 PYQ

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Delhi University MCA PYQ
The perimeter of the loop of the curve 9y2 = (x-y)(x-5)2





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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2019 PYQ

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Delhi University MCA PYQ
$$ S_n = \left[ (n+1)(n+2)\cdots(n+n)\cdot \frac{1}{n^n} \right]^{\tfrac{1}{n}} $$ $$ \lim_{n \to \infty} S_n = \; ? $$ $$ (a)\;\tfrac{1}{e} \qquad (b)\;\tfrac{2}{e} \qquad (c)\;\tfrac{4}{e} \qquad (d)\;1 $$





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Delhi University MCA Previous Year PYQ Delhi University MCA DU MCA 2021 PYQ

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Delhi University MCA PYQ
The condition for the line $x\cos\alpha+y\sin\alpha=p$ to touch the curve $\left(\dfrac{x}{a}\right)^3+\left(\dfrac{y}{b}\right)^3=1$ is $(a\cos\alpha)^t+(b\sin\alpha)^t=p^t$ where $t$ is equal to





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