#61
0 0 votes
0 0 answers
86
86 views
Consider the circuit shown. Assume that the diode ( $D$ ) is ideal.Given $v_{s}=100 \sin (2 \pi 50 t) \mathrm{V}, V_{d c}=50 \mathrm{~V}$, and $R=10 \Omega$, the average ...
#62
0 0 votes
0 0 answers
58
58 views
The magnitude of the contour integral\[\oint_{C}\left(\frac{(z+1)^{2}}{(z-i)(z-2)}\right) d z\]over the contour $C:|z-2-i|=3 / 2$ is $\_\_\_\_$(Round off to two decimal p...
#63
0 0 votes
0 0 answers
51
51 views
A uniform spherical volume charge distribution of radius $2$ m, centered at the origin, has a strength of $\frac{3}{\pi} \times 10^{-6} \mathrm{~C} / \mathrm{m}^{3}$. A p...
#64
0 0 votes
0 0 answers
87
87 views
Let $\text{X}$ and $\text{Y}$ be two real-valued random variables with $\mathrm{E}(\mathrm{X})=1, \mathrm{E}(\mathrm{Y})=2, \mathrm{E}\left(\mathrm{X}^{2}\right)=4, \math...
#65
1 1 vote
1 1 answer
169
169 views
The integral\[\frac{1}{\pi} \int_{0}^{\infty} \frac{x^{2026}}{\left(1+x^{2026}\right)\left(1+x^{2}\right)} \mathrm{d} x\]evaluates to $\_\_\_\_$(Round off to two decimal ...
#66
2 2 votes
1 1 answer
314
314 views
The condensers of 30μF & 60μF capacitances are connected in series across a 180V supply. After charging they are removed from the supply and are connected in parallel wit...
#67
1 1 vote
1 1 answer
652
652 views
Kavya $\_\_\_\_\_$ go to work yesterday as she $\_\_\_\_\_\_\_$ feeling well.Select the most appropriate option to complete the above sentence.didn't; isn'twouldn't; wasn...
#68
1 1 vote
1 1 answer
1.3k
1.3k views
Good : Evil :: Genuine : $\_\_\_\_\_\_\_$Select the most appropriate option to complete the analogy.CounterfeitContrabandCounterfoilCounterpart
#69
4 4 votes
1 1 answer
766
766 views
The relationship between two variables $x$ and $y$ is given by $x+p y+q=0$ and is shown in the figure. Find the values of $p$ and $q$.Note: The figure shown is representa...
#70
5 5 votes
0 0 answers
538
538 views
Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the relationship among the ...
#71
1 1 vote
1 1 answer
497
497 views
What is the value of $\left(\frac{3^{81}}{27^{4}}\right)^{\frac{1}{3}}$ ?$3^{13}$$3^{96}$$3^{23}$$3^{69}$
#72
0 0 votes
0 0 answers
499
499 views
Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:It is because deer, like most of the animals that tigers normally prey...
#73
5 5 votes
1 1 answer
950
950 views
In the given figure, $EF$ and $HJ$ are coded as $30$ and $80$, respectively. Which one among the given options is most appropriate for the entries marked $(i)$ and $(ii)$...
#74
3 3 votes
1 1 answer
720
720 views
Scores obtained by two students $P$ and $Q$ in seven courses are given in the table below. Based on the information given in the table, which one of the following stateme...
#75
0 0 votes
0 0 answers
1.3k
1.3k views
Spheres of unit diameter are centered at $(l, m, n)$ where $l, m$, and $n$ take every possible integer values.The distance between two spheres is computed from the center...
#76
1 1 vote
0 0 answers
505
505 views
In the triangle $P Q R$, the lengths of $P T$ and $T R$ are in the ratio of $3:2$.$ST$ is parallel to $QR$. Two semicircles are drawn with PS and PQ as diameters, as show...
#77
3 3 votes
1 1 answer
656
656 views
Consider the set $S$ of points $(x, y) \in \mathfrak{R}^{2}$ which minimize the real valued function$$ f(x, y)=(x+y-1)^{2}+(x+y)^{2}$$Which of the following statements is...
#78
0 0 votes
2 2 answers
505
505 views
Let $v_{1}$ and $v_{2}$ be the two eigenvectors corresponding to distinct eigenvalues of a $3 \times 3$ real symmetric matrix. Which one of the following statements is tr...
#79
1 1 vote
1 1 answer
406
406 views
Let $\boldsymbol{A}=\left[\begin{array}{ccc}1 & 1 & 1 \\ -1 & -1 & -1 \\ 0 & 1 & -1\end{array}\right]$, and $\boldsymbol{b}=\left[\begin{array}{c}1 / 3 \\ -1 / 3 \\ 0\end...
#80
0 0 votes
1 1 answer
317
317 views
Let $P=\left[\begin{array}{ccc}2 & 1 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1\end{array}\right]$ and let $I$ be the identity matrix. Then $P^{2}$ is equal to$2 P-I$$P$$I$$P+I$