Previous 10 Questions — AMU MCA 2016
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The value of the integral $\int_{-2}^{0} \frac{dx}{\sqrt{12 - x^2 - 4x}}$ is
Topic: AMU MCA 2016
$\int \frac{x^3}{1 + x^4} , dx$ equals
Topic: AMU MCA 2016
The area bounded by the circle $x^2 + y^2 = 4$ and the line $x = y\sqrt{3}$ in the first quadrant (in sq units) is
Topic: AMU MCA 2016
The value of the integral $\int_{0}^{1} \frac{e^{5\log_e x} - e^{4\log_e x}}{e^{\log_e x^3} - e^{\log_e x^2}} , dx$ is
Topic: AMU MCA 2016
Next 10 Questions — AMU MCA 2016
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The sum of two numbers is $10$. Their product will be maximum when they are
Topic: AMU MCA 2016
The maximum value of $\frac{\log x}{x}$ is
Topic: AMU MCA 2016
The function $f(x)=\cos^2 x$ is strictly decreasing on
Topic: AMU MCA 2016
Consider the following propositions:$p$: I take medicine$q$: I can sleepThen, the compound statement $\sim p \to \sim q…
Topic: AMU MCA 2016
If $\left[\matrix{\alpha & \beta \cr \gamma & -\alpha}\right]$ is to be square root of the two rowed unit matrix, then …
Topic: AMU MCA 2016
If $A$ and $B$ are two square matrices such that $AB = A$ and $BA = B$, then
Topic: AMU MCA 2016
The only integral root of the equation
$\left|\matrix{2 - y & 2 & 3 \cr 2 & 5 - y & 6 \cr 3 & 4 & 10 - y}\right| = 0$
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Topic: AMU MCA 2016
The determinant
$\left|\matrix{xp+y & x & y \cr yp+z & y & z \cr 0 & xp+y & yp+z}\right| = 0$ if
Topic: AMU MCA 2016
Out of $(2n+1)$ consecutively numbered tickets, three tickets are drawn at random. The probability that the numbers on …
Topic: AMU MCA 2016
A certain item is manufactured by machine $M_1$ and $M_2$. $M_1$ produces twice items as $M_2$. $4%$ from $M_1$ and $3%…
Topic: AMU MCA 2016
