TU IOST | Mathematics (or Computer)
If the roots of $x^2+kx+9=0$ are equal, then $k=$
Answer:
Likely questions 2083, Q60: explanation →If $\alpha,\beta$ are the roots of $x^2-6x+5=0$, then $\alpha^2+\beta^2=$
Answer: 26
Likely questions 2083, Q61: explanation →If one root of $ax^2+bx+c=0$ is double the other, then
Answer: $2b^2=9ac$
Likely questions 2083, Q62: explanation →$\frac{2+i}{2-i}=$
Answer: $\frac{3+4i}{5}$
Likely questions 2083, Q63: explanation →The value of $i^{47}$ is
Answer:
Likely questions 2083, Q64: explanation →The modulus of $(1+i)^4$ is
Answer: 4
Likely questions 2083, Q65: explanation →If $n(A)=20$, $n(B)=15$ and $n(A\cap B)=5$, then $n(A\cup B)=$
Answer: 30
Likely questions 2083, Q66: explanation →A set with 4 elements has how many proper subsets?
Answer: 15
Likely questions 2083, Q67: explanation →If $f:\mathbb R\to\mathbb R$ is defined by $f(x)=2x+3$, the pre-image of 9 is
Answer: 3
Likely questions 2083, Q68: explanation →The range of $y=x^2+6x+10$ is
Answer: $y\ge1$
Likely questions 2083, Q69: explanation →The value of $\log_2 32-\log_3 81$ is
Answer: 1
Likely questions 2083, Q70: explanation →$5^{2\log_5 3}=$
Answer: 9
Likely questions 2083, Q71: explanation →The values of $x$ for which $\begin{vmatrix}x&8\2&x\end{vmatrix}=0$ are
Answer:
Likely questions 2083, Q72: explanation →If $A=\begin{pmatrix}1&2\3&4\end{pmatrix}$, then $|2A|=$
Answer: -8
Likely questions 2083, Q73: explanation →If $\begin{pmatrix}0&k\-4&0\end{pmatrix}$ is a skew-symmetric matrix, then $k=$
Answer: 4
Likely questions 2083, Q81: explanation →The sum of the first 20 terms of the AP $3,7,11,\dots$ is
Answer: 820
Likely questions 2083, Q82: explanation →The third term of a GP is 12 and the sixth term is 96. The first term is
Answer: 3
Likely questions 2083, Q85: explanation →If $\lim_{x\to a}\frac{x^5-a^5}{x-a}=80$ and $a>0$, then $a=$
Answer: 2
Likely questions 2083, Q51: explanation →$\lim_{x\to0}\frac{\sin 4x}{\tan 2x}=$
Answer: 2
Likely questions 2083, Q52: explanation →$\lim_{x\to\infty}\frac{3x^2+2x}{5x^2-1}=$
Answer: 3/5
Likely questions 2083, Q53: explanation →If $y=\ln(\sin x^2)$, then $\frac{dy}{dx}=$
Answer: $2x\cot x^2$
Likely questions 2083, Q54: explanation →For $y=x^3-12x$, $\frac{dy}{dx}=0$ when $x=$
Answer:
Likely questions 2083, Q55: explanation →If $y=e^{3x^2+1}$, then $\frac{dy}{dx}=$
Answer: $6x,e^{3x^2+1}$
Likely questions 2083, Q56: explanation →$\int\frac{dx}{3x+2}=$
Answer: $\frac13\ln|3x+2|+c$
Likely questions 2083, Q57: explanation →$\int 10^{\log_{10}x},dx=$
Answer: $\frac{x^2}{2}+c$
Likely questions 2083, Q58: explanation →$\int\frac{\cos x}{1+\sin x},dx=$
Answer: $\ln|1+\sin x|+c$
Likely questions 2083, Q59: explanation →$\int_0^2(3x^2+1),dx=$
Answer: 10
Likely questions 2083, Q80: explanation →The function $f(x)=\frac{x^2-9}{x-3}$ for $x\ne3$, $f(3)=k$, is continuous at $x=3$ when $k=$
Answer: 6
Likely questions 2083, Q84: explanation →Which of the following memories is volatile?
Answer: RAM
Likely questions 2083, Q86: explanation →Which of the following is the fastest memory in a computer?
Answer: Registers
Likely questions 2083, Q87: explanation →Which of the following is an output device?
Answer: Plotter
Likely questions 2083, Q91: explanation →Which of the following is an optical storage device?
Answer: Blu-ray disc
Likely questions 2083, Q92: explanation →Which device is used to read printed bar codes?
Answer: Barcode reader
Likely questions 2083, Q97: explanation →The BIOS program of a computer is stored in
Answer: ROM
Likely questions 2083, Q99: explanation →The decimal value of the binary number $(1011)_2$ is
Answer: 11
Likely questions 2083, Q95: explanation →The binary equivalent of decimal 25 is
Answer: 11001
Likely questions 2083, Q96: explanation →The output of a two-input NAND gate is 0 when
Answer: both inputs are 1
Likely questions 2083, Q100: explanation →A fair die is rolled once. The probability of getting a prime number is
Answer: 1/2
Likely questions 2083, Q74: explanation →If $A$ and $B$ are independent with $P(A)=0.4$ and $P(B)=0.5$, then $P(A\cup B)=$
Answer: 0.7
Likely questions 2083, Q75: explanation →The radius of the circle $x^2+y^2-6x+8y-11=0$ is
Answer: 6
Likely questions 2083, Q76: explanation →The equation of the tangent to $x^2+y^2=25$ at $(3,4)$ is
Answer: $3x+4y=25$
Likely questions 2083, Q77: explanation →$\cos\left(\sin^{-1}\frac{5}{13}\right)=$
Answer: 12/13
Likely questions 2083, Q78: explanation →The general solution of $\tan\theta=\sqrt3$ for $n\in\mathbb Z$ is
Answer: $n\pi+\frac{\pi}{3}$
Likely questions 2083, Q83: explanation →The unit vector along $3\mathbf i-4\mathbf j$ is
Answer: $\frac{3\mathbf i-4\mathbf j}{5}$
Likely questions 2083, Q79: explanation →Which package is mainly used to create and manage a database?
Answer: MS Access
Likely questions 2083, Q88: explanation →Which of the following is an operating system?
Answer: Ubuntu
Likely questions 2083, Q89: explanation →Which HTML tag is used to create a hyperlink?
Answer: <a>
Likely questions 2083, Q90: explanation →A program that translates the whole source code into machine code at once is called a
Answer: compiler
Likely questions 2083, Q93: explanation →Which protocol is mainly used to transfer web pages?
Answer: HTTP
Likely questions 2083, Q94: explanation →A program that copies itself and attaches to other files is called a
Answer: virus
Likely questions 2083, Q98: explanation →