Which of the following is NOT a basic requirement of the linear programming problem (LPP)?

In reference to the Inferential Statistics, which of the following is NOT correct?

Let \(\tan ^{-1} y=\tan ^{-1} x+\tan ^{-1}\left(\frac{2 x}{1-x^2}\right)\). Then \(y\) is :

If A is a skew-symmetric matrix of order 5 , then \(|a d j A|\) is equal to

A die is tossed 6 times and getting 1 or 5 is considered a success.
The probability of getting at least one success in six tosses is:

\(\int_0^2|x-1| d x=\)

If the matrix \(M=\left[\begin{array}{ccc}0 & -1 & 3 \alpha \\ 1 & \beta & -5 \\ -6 & 5 & 0\end{array}\right]\) is skew-symmetric, then

Study the following figure and answer the questions:

Which one is NOT the feature of genetic code?

Which of the following statements are correct?
A. Some hormones are steroids.
B. Hyper thyroidism is due to increased level of thyroxine
C. Hypothyroidism can be controlled by reducing ""lodised"" salt intake.
D. Glucagon tends to increase the glucose level in blood.
E. Insulin is released in response to rapid rise in blood glucose level.
Choose the correct answer from the options given below:

The current in a wire varies with time according to the relationship; I = (2 + 2 t) A, where t is time in seconds. The charge passing through a cross-section of the wire in the time interval between t = 0 s to t = 4 s is

Question based on the following passage: P-Block elements are placed in group 13 to 18 in the periodic table. Group 15 is nitrogen family.
Nitrogen can react with hydrogen, oxygen, halogens etc. It shows multiple oxidation states in its various oxides i.e. \(N_2O, N_2O_3, N_2O_5\) etc. Important allotropic forms of phosphorus are white, red and black phosporus. Various compounds of phosphorus are phosphine, \(PCl_3, PCl_5\) and oxoacids of phosphorus. Oxidation states \(+1\) to \(+5\) are seen in various oxoacids of phosphorus. Group 17 elements are collectively known as halogens. Bond dissociation enthalpy of \(F_2\) is smaller than \(Cl_2\).
The gases present in group 18 are chemically unreactive, they form only few compounds. Neil Bartlett (in 1962) observed the reaction of a noble gas. Since then, many noble gas compounds have been synthesised.
Explosive nature of fluorine (\(F_2\)) is due to:

If the standard electrode potential, \(E_{\text {cell }}^{\circ}=1.10 V\), then the \(E_{\text {cell }}\) for the following reaction at 298 K is
\(Zn ( s )+ Cu ^{2+}(0.1 M ) \rightarrow Zn ^{2+}(0.01 M )+ Cu ( s )\)

If \(\frac{d}{d x}\left[a x^3+a x^2+a x+1\right]=9 x^2+6 x+3\), then \(a\) is equal to :