Any feasible solution which optimizes the objective function is called:

The function \(f(x)=-2 x^3-9 x^2-12 x+5\) is :

Let \(R\) be the relation in the set \(\{1,2,3\}\) given by \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\). Choose the correct answer.

The corner points of the feasible region determined by the following system of linear inequalities \(2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0\) are \((0,0),(5,0),(3,4)\) and \((0,5)\). Let \(z=p x+q y\) where \(p\) and \(q>0\). The condition on \(p\) and \(q\) so that the maximum of \(z\) occurs at both \((3,4)\) and \((0,5)\) is :

The probability that X can take the values \(x_i\) has the following form:
\(P\left(X=x_i\right)=\left\{\begin{array}{ll}0.2 & \text { if } x_i=0 \\ k x_i & \text { if } x_i=1 \text { or } 2 \\ k\left(5-x_i\right) & \text { if } x_i=3 \\ 0 & \text { otherwise }\end{array}\right.\)
The value of P(X = 2) is:

If \(\left[\begin{array}{cc}2 x+1 & 5 x \\ 0 & y^2+1\end{array}\right]=\left[\begin{array}{cc}x+3 & 10 \\ 0 & 26\end{array}\right]\) , then the possible values of x + y are:

The area bounded by the curve y = 3 cos x and the x-axis between x = 0 and \(x=2 \pi\) is:

The probability that A speaks the truth is \(4 / 5\). A coin is tossed and A reports 'Heads'. The probability that it actually showed 'Heads' is :

Magnetic susceptibility \(X\) of a given material is \(- 0 . 5\). Identify the magnetic material.

Haloalkanes can be represented by the formula

Current is a__________ quantity and it's SI unit is__________.

Transfer of genetic message from sequences of nitrogenous bases to
sequences of amino acids is called -

Answer the question on basis of passage given below :
The noble gases have closed shell electronic configuration and are monatomic gases under normal conditions. The low boiling points of lighter noble gases are due to the weak dispersion forces between the atoms and the absence of other inter atomic interaction. The direct reaction of xenon with fluorine leads to
of compounds with oxidation numbers +2, +4 and +6.
XeF4 reacts violently with water to give XeO3. The compound of Xenon exhibit stereoisomerism and their geometries can be deduced considering the total number of electrons in the valence shell.
Argon is used in arc welding because it has