If the interval in which the function \(f(x)=\frac{x}{x^2+1}\) is strictly increasing is \((-a, a)\), then \(a\) is equal to

Corner points of the feasible region for a linear programming program are \((0,2),(3,0),(4,1),(2,3)\) and \((0,3)\).
Let \(F=4 x+6 y\) be the objective function.
The minimum value of \(F\) occurs at :

A function \(f: R \rightarrow R\) defined by \(f(x)=\frac{x}{x^2+1}\) is (where \(R\) is the set of real numbers) :

The number of years required for a sum of money to get tripple at the effective rate of \(4\%\) is : (Given \((1.04)^{28}=3\) )

If \(A=\left[\begin{array}{ll}5 & 2 \\ 4 & 3\end{array}\right]\) is a given matrix, then which statements are correct?
(A) \(|A|=7\)
(B) minor of \(3=-5\)
(C) co-factor of \(2=-4\)
(D) \(\operatorname{adj}(A)=\left[\begin{array}{cc}3 & -2 \\ -4 & 5\end{array}\right]\)

The shaded region shown in the figure is given by inequalities:

Let \(A\) and \(B\) be two invertible square matrices of same order, then which of the following is not correct?

A p-type semiconductor can be obtained by adding

Answer the questions from the figure given below:

'Taq' in Taq polymerase stands for:

Read the paragraph given below and answer the question.
Sutton and Boveri argued that the pairing and separation of a pair of chromosomes would lead to the segregation of a pair of factors they carried. Sutton united the knowledge of chromosomal segregation with Mendelian principles and called it the chromosomal theory of inheritance. Following this synthesis of ideas, experimental verification of the chromosomal theory of inheritance by Thomas Hunt Morgan and his colleagues, led to discovering the basis for the variation that sexual reproduction produced. Morgan worked with the tiny fruit files, which were found very suitable for such studies. They could be grown on simple synthetic medium in the laboratory. They complete their life cycle in a short span of time and a single mating could produce a large number of progeny flies. Also, there was a clear differentiation of the sexes the male and female flies are easily distinguishable. Also, it has many types of hereditary variations that can be seen with low power microscopes.
Which statement is incorrect with respect to Drosophila.

The iodoform test is used for the detection of

Which of the following in NOT a sacred grove?

Determinant is unaltered if :