If A and B are invertible matrices of order \(3,|A|=2\) and \(\left|(A B)^{-1}\right|=-\frac{1}{0}\), then the value of \(|B|\) is :

The function \(f(x)=\sin x(1+\cos x) ; x \in\left[0, \frac{3 \pi}{2}\right]\) will have:

\(\int_1^4|x-2| d x\) is equal to

The function \(f(x)=x^2-x+1\) is

If \(A=\left[\begin{array}{ccc}0 & 0 & \sqrt{3} \\ 0 & \sqrt{3} & 0 \\ \sqrt{3} & 0 & 0\end{array}\right]\), then \(|\operatorname{adj} A|\) is equal to:

The area bounded by the curve y = sin x and x-axis between \(x=-\pi\) and \(x=\pi\) is:

The corner points of the feasible region determined by a system of linear constraints are (0,0), (0, 40), (20, 40), (60, 20), (60, 0). If the objective function is \(Z = 4x + 3y\) then which one of the following is true?

The sides of an equilateral triangle are increasing at the rate of \(5 cm / sec\). The rate at which the area increases when the side is 20 cm , is

After the completion of replication, each DNA molecule will have one parental strand and one newly synthesized strand. This scheme is known as:

Which is/are Non-biodegradable polymers ?
(A) Nylon 6, 6
(B) Nylon-2, Nylon-6
(C) PHBV
(D) Phenol formaldehyde resin
(E) Dacron
Choose the correct answer from the options given below :

Read the given passage and answer the following questions:
Secondary treatment or biological treatment: The primary effluent is passed into large tanks where air is pumped into it. This allows vigorous growth of aerobic microbes. While growing, these microbes consume the major part of the organic matter in the effluent. This significantly change the BOD (biochemical oxygen demand) of the effluent. The effluent in then passed into a tank a small part of the sludge is pumped back into the aeration tank to serve as the inoculum. The remaining major part of the sludge is pumped into large tanks called sludge digesters. Here, other kinds of bacteria grow anaerobically in the sludge. The biogas produced can be used source of energy as it is inflammable. The effluent from the secondary treatment plant is generally released into natural water bodies like rivers and streams.
Steps in primary treatment does not include:

The solution set of the inequality \(3 x+5 y<4\) is

Match List - I with List - II.

List - I	List - II
(A) Orbital radius of electron	(I) \( \propto \frac{1}{n} \)
(B) Orbital velocity of electron	(II) \( \propto n \)
(C) Orbital frequency of electron	(III) \( \propto \frac{1}{n^3} \)
(D) Angular momentum of electron List	(IV) \( \propto n^2 \)

Choose the correct answer from the options given below: