If $\alpha, \beta, \gamma$ be the angles which a line subtends with the positive direction of coordinate axes, then $\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma$ equals
Previous 10 Questions — AMU MCA 2022
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A tie for leaving variables in simplex procedure implies
Topic: AMU MCA 2022
Thirty men and thirty women with knee pain were subjects in an experiment to determine the effectiveness of a new pain …
Topic: AMU MCA 2022
In an analysis of variance, one estimate of variance $(\sigma^2)$ is based upon the difference between the treatment me…
Topic: AMU MCA 2022
The following LPP:Minimize $Z = x - y$Subject to:$2x + 3y \le 6$$0 \le x \le 4$$0 \le y \le 3$then the number of extrem…
Topic: AMU MCA 2022
he following LPP:Maximize $Z = 6x_1 - 2x_2$Subject to:$2x_1 - x_2 \le 2$$x_1 \le 3$$x_1, x_2 \ge 0$has optimal value as
Topic: AMU MCA 2022
In $4 \times 4$ Latin square design, the error degrees of freedom is:
Topic: AMU MCA 2022
Suppose that there are $K$ treatments and $n$ blocks in a randomized block design. In analysis of variance for this des…
Topic: AMU MCA 2022
Let $p$ be the probability that a coin will fall head in a single toss in order to test
$H_0 : p = 1/2$ against $H_1 : …
Topic: AMU MCA 2022
f a random variable $X$ takes the values $1, 2, 3, 4$ such that
$2P(X=1)=3P(X=2)=P(X=3)=5P(X=4)$,
then $P(X=2)$ is:
Topic: AMU MCA 2022
While testing the independence of attributes using Chi-square distribution, suppose attribute $A$ is specified into thr…
Topic: AMU MCA 2022
Next 10 Questions — AMU MCA 2022
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The plane $ax+by+cz=0$ cuts the cone $yz+zx+xy=0$ in perpendicular lines if
Topic: AMU MCA 2022
The set $Z$ of all integers forms a group with respect to binary operation $$ defined by
$ab=a+b+1$, $\forall a,b \in Z…
Topic: AMU MCA 2022
Which of the following relations is not true (Symbols have their usual meanings)
Topic: AMU MCA 2022
$\lim_{x\to0}\dfrac{\sin x - x + \frac{x^3}{6}}{x^5}$ is equal to
Topic: AMU MCA 2022
The asymptotes of $\dfrac{a^2}{x^2}+\dfrac{b^2}{y^2}=1$ are
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The number of asymptotes of the curve $y^2=ax$ is
Topic: AMU MCA 2022
In what direction is the derivative of $f(x,y)=x^2-xy+y^2$ at $P(1,-1)$ equal to zero?
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The value of the integral
$I=\iint_R e^{x^2+y^2},dy,dx$
where $R$ is the semicircular region bounded by the $x$-axis a…
Topic: AMU MCA 2022
If $I=\oint_C e^x,dx+2y,dy-dz$,
where $C$ is the curve $x^2+y^2=4$ and $z=2$, then the value of $I$ is
Topic: AMU MCA 2022
If Laplace transform $L{F(x)}=\frac1{s}e^{-3s}$, then $L{e^{-x}F(3x)}$ is
Topic: AMU MCA 2022
