If \(A=\left[a_{i j}\right]_{3 \times 3}\), where \(a_{i j}=\frac{(-1)^{i+j}-1, i=j}{(-1)^{i+j}, i \neq j}\) then the value of \(A+A^T\) is:

Let \(f: R \rightarrow R\) be defined as \(f(x)=3 x+4\). Choose the correct answer.

Area bounded by the curve \(|x|+|y|=1\) is:

A container contains 50 litres of milk. From this container 10 litres of milk was taken out and replaced by water. This process is repeated two more times. How much milk is now left in the container?

The value of the definite integral \(I=\int_1^2 \frac{1}{x\left(1+x^2\right)} d x\) is:

The area of a triangle having the points \(A (1,1,1), B (1,2,3)\) and \(C (2,3,1)\) as its vertices is :

The integral \(\int e^x\left(1+\frac{1}{x}+\log x\right) d x\) is equal to:

Amines are reactive in nature, mainly due to difference in electronegativity between Nitrogen and Hydrogen and, due to lone pair of electrons on Nitrogen. Amines behave like nucleophiles and as good lewis bases and there are various reactions to support this. Different degree of amines differ in their reactivity due to steric hinderance and electronic effects. Aromatic amines are less basic due to + R effect, hence have higher pkb value than aliphatic amines. Basic strength of amines also depends on stability of corresponding conjugate acid in aqueous medium.
Which of the following will be having lowest \(p K_b\) in gaseous medium?

Assisted reproductive technology, IVF involves transfer of:

Which of the following is not the correctly matched pair of organism and its respective cell wall degrading enzyme

The gold number range of some of the lyophilic colloids is given below:
A: 0.005-0.01, B: 0.15-0.25, C: 0.04-1.0, D: 15-25
Which among these can be used as a better protective colloid?

The unit of Boiling point Elevation Constant (\(K_b\)) is

The self inductance of an inductor does not depend on the :