If the point $(a, a)$ falls between the lines $|x + y| = 4$, then

1

The equation of the plane through the intersection of the planes $x + y + z = 1$ and $2x + 3y - z + 4 = 0$ and parallel…

Topic: AMU MCA 2019

1

If $A, B, C, D$ are the points $(2,3,-1), (3,5,-3), (1,2,3), (3,5,7)$ respectively, then the angle between $AB$ and $CD…

Topic: AMU MCA 2019

2

A five digits number is formed by writing the digits $1,2,3,4,5$ in a random order without repetitions. Then the probab…

Topic: AMU MCA 2019

3

Two persons $A$ and $B$ take turns in throwing a pair of dice. The first person to throw $9$ from both dice will be awa…

Topic: AMU MCA 2019

4

The probability that in a year of the $22^{\text{nd}}$ century chosen at random, there will be $53$ Sundays, is

Topic: AMU MCA 2019

5

The standard deviation of a variable $x$ is $10$. Then the standard deviation of $50 + 5x$ is

Topic: AMU MCA 2019

6

A real value of $x$ will satisfy the equation $\left(\dfrac{3 - 4ix}{3 + 4ix}\right)=\alpha - i\beta; (\alpha,\beta \te…

Topic: AMU MCA 2019

7

If $\omega$ is a complex cube root of unity, then the value of $\dfrac{p + q\omega + r\omega^2}{r + p\omega + q\omega^2…

Topic: AMU MCA 2019

8

If $P, Q, R, S$ are represented by the complex numbers $4+i, 1+6i, -4+3i, -1-2i$ respectively, then $PQRS$ is a

Topic: AMU MCA 2019

9

If $n$ is a positive integer, then $(1+i)^n + (1-i)^n$ is equal to

Topic: AMU MCA 2019

10

The number of ways in which $9$ persons can be divided into three equal groups is

Topic: AMU MCA 2019