Out of $(2n+1)$ consecutively numbered tickets, three tickets are drawn at random. The probability that the numbers on them are in arithmetic progression is
Previous 10 Questions — AMU MCA 2016
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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
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
If $A$ and $B$ are two square matrices such that $AB = A$ and $BA = B$, then
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
Consider the following propositions:$p$: I take medicine$q$: I can sleepThen, the compound statement $\sim p \to \sim q…
Topic: AMU MCA 2016
The function $f(x)=\cos^2 x$ is strictly decreasing on
Topic: AMU MCA 2016
The maximum value of $\frac{\log x}{x}$ is
Topic: AMU MCA 2016
The sum of two numbers is $10$. Their product will be maximum when they are
Topic: AMU MCA 2016
$\int \sqrt{16 - 9x^2} , dx$ equals
Topic: AMU MCA 2016
The value of the integral $\int_{-2}^{0} \frac{dx}{\sqrt{12 - x^2 - 4x}}$ is
Topic: AMU MCA 2016
Next 10 Questions — AMU MCA 2016
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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
If $A$ and $B$ are independent events such that $P(B)=\frac{2}{7}$, $P(A \cup \overline{B})=0.8$, then $P(A)=$
Topic: AMU MCA 2016
If $A$ and $B$ are independent events such that
$P(A^c \cap B)=\frac{2}{15}$ and $P(A \cap B^c)=\frac{1}{6}$, then $P(B…
Topic: AMU MCA 2016
The value of $\lambda$ so that the vectors
$a = 2\hat{i} - \hat{j} + \hat{k}$, $b = \hat{i} + 2\hat{j} - 3\hat{k}$ and
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Topic: AMU MCA 2016
The differential equation of all parabolas whose axis of symmetry is parallel to $X$-axis is of order
Topic: AMU MCA 2016
If $p$ and $q$ are the order and degree of the differential equation
$y \frac{dy}{dx} + x^3\left(\frac{d^2y}{dx^2}\rig…
Topic: AMU MCA 2016
The equation $x^2 + y^2 + 4x + 6y + 13 = 0$ represents
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The two lines $ty = x + t^2$ and $y + tx = 2t + t^3$ intersect at the point lies on the curve whose equation is
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The directrix of the parabola $4y^2 + 12x - 12y + 39 = 0$ is
Topic: AMU MCA 2016
A line perpendicular to the line segment joining the points $(1,0)$ and $(2,3)$ divides it in the ratio $1:n$. The equa…
Topic: AMU MCA 2016
