The value of \(\int_0^1 \log _e\left(\frac{1}{x}-1\right) d x\) is :

If \(y=\left(x+\sqrt{x^2+1}\right)^m\), then \(\frac{d y}{d x}\) is

The combined resistance \(R\) of two resistors \(R_1\) and \(R_2\left(R_1, R_2>0\right)\) is given by\(\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}\) if \(R_1+R_2=C\) (a constant). The maximum resistance \(R\) is obtained when

\(\int \frac{(x-3) e^x}{(x-1)^3} d x\) is equal to

Let \(X\) denote the number of tails in two tosses of a coin. If the mean and the variance of \(X\) are \(\mu\) and \(\sigma^2\) respectively, then \(\mu+\sigma^2\) is equal to:

Let \(f: R -\left\{\frac{3}{5}\right\} \rightarrow R\) be defined by \(f(x)=\frac{3 x+2}{5 x-3}\), then

If \(A=\left[\begin{array}{ll}1 & 2 \\ 0 & 3\end{array}\right]\), then \(|A \operatorname{adj} A|\) is

If \(\vec{a}, \vec{b}, \vec{c}\) are unit vectors such that \(\vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}=0\), and the angle between \(\vec{b}\) and \(\vec{c}\) is \(\frac{\pi}{6}\), then

Which of the following are surgical methods of birth control?
(A) Vaults
(B) Intra Uterine Devices
(C) Vasectomy
(D) Tubectomy
(E) Coitus interruptus
Choose the correct answer from the options given below :

To remove an electron from the first orbit to infinity of hydrogen atom, the amount of energy required will be :

The common name and IUPAC name of the following compound, respectively, are

Arrange the following as per statistical inferences :
(A) Data Analysis
(B) Population
(C) Making Inferences
(D) Data Collection
Choose the correct answer from the options given below :

Read the passage carefully and answer the given questions.
Recombinant DNA Technology Asexual reproduction preserves the genetic information, while sexual reproduction permits variation. Traditional hybridization procedures used in plants and animals breeding very often lead to inclusion and multiplication of undesirable genes along with the desired genes. The techniques of genetic engineering, which include creation of recombinant DNA, use of gene cloning and gene transfer, overcome this limitation and allow us to isolate and introduce only one or a set of desirable genes without introducing genes into the target organism.
In Recombinant DNA Technology, what is the role of the "selectable marker gene"?