If $\omega$ is a cube root of unity, then $\left|\begin{array}{ccc} 1 & \omega & \omega^2 \\ 1 & \omega^2 & 1 \\ \omega & 1 & \omega^2 \end{array}\right|$ is equal to
Previous 10 Questions — JAMIA MCA 2017
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The sum of $(n+1)$ terms of the series
$\dfrac{C_0}{2} - \dfrac{C_1}{3} + \dfrac{C_2}{4} - \dfrac{C_3}{5} + \dots$ is
Topic: JAMIA MCA 2017
The number of arrangements of the letters of the word BANANA in which the two N’s do not appear adjacently is
Topic: JAMIA MCA 2017
If $P_n = {}^nP_r$ and $C_r = {}^nC_{r-1}$, then $(n, r)$ is
Topic: JAMIA MCA 2017
If the equations $x^2 + 2x + 3\lambda = 0$ and $2x^2 + 3x + 5\lambda = 0$ have a non-zero common root, then $\lambda$ i…
Topic: JAMIA MCA 2017
The number of real roots of equation $(x-1)^2 + (x-2)^2 + (x-3)^2 = 0$ is
Topic: JAMIA MCA 2017
If the roots of $x^2 - bx + c = 0$ are two consecutive numbers, then $b^2 - 4c$ is equal to
Topic: JAMIA MCA 2017
If $\alpha$ and $\beta$ are roots of $x^2 + px + q = 0$, then value of $\alpha^2 + \alpha\beta + \beta^2$ is
Topic: JAMIA MCA 2017
The value of $9^{1/3} × 9^{1/9} × 9^{1/27} × ... ∞$ is
Topic: JAMIA MCA 2017
If the ratio of sum of $m$ terms and $n$ terms of an A.P. be $m^2:n^2$, then the ratio of its $m$th and $n$th terms wil…
Topic: JAMIA MCA 2017
For what value of $x$, the $\log_2(5·2^x+1)$, $\log_4(2^{1-x}+1)$, and 1 are in A.P.?
Topic: JAMIA MCA 2017
Next 10 Questions — JAMIA MCA 2017
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If $A = \left[\begin{array}{cc}
x & 2 \\
2 & x
\end{array}\right]$ and $|A^2| = 0$, then $x$ is equal to
Topic: JAMIA MCA 2017
Let $\vec{A} = \hat{i} - \hat{j} + \hat{k}$ and $\vec{C} = -\hat{i} - \hat{j}$ be two vectors.
Which of the following…
Topic: JAMIA MCA 2017
Two dice are thrown simultaneously.
The probability of obtaining a total score of $5$ is
Topic: JAMIA MCA 2017
Let $A$ and $B$ be two disjoint subsets of a universal set $E$.
Then $(A \cup B)\cap B'$ is equal to
Topic: JAMIA MCA 2017
$(A - B) - A$ is equal to
Topic: JAMIA MCA 2017
A point $P$ on the $y$-axis is equidistant from the points $A(-5,4)$ and $B(3,-2)$.
Its coordinate is
Topic: JAMIA MCA 2017
The area of the triangle with vertices $A(a, b+c)$, $B(b, c+a)$ and $C(c, a+b)$ is equal to
Topic: JAMIA MCA 2017
Three of the six vertices of a regular hexagon are chosen at random.
The probability that the triangle formed is equi…
Topic: JAMIA MCA 2017
If the roots of equation $(b-c)x^2 + (c-a)x + (a-b) = 0$ be equal, then $a,b,c$ are in
Topic: JAMIA MCA 2017
Let 10 is the cardinality of set A. The number of bijective mappings from set A to itself is
Topic: JAMIA MCA 2017
