If the function \(f(x)=\left\{\begin{array}{ll}\frac{k c e s}{\pi-2 \pi} & : x \neq \frac{\pi}{2} \\ 3 & : x=\frac{\pi}{2}\end{array}\right.\) is continuous at \(x=\frac{\pi}{2}\), then \(k\) is equal to:

The point on the curve \(y^2=8 x\) for which the abscissa and ordinate change at the same rate, is

The interval in which the function given by \(f(x) = \sin^4 x + \cos^4 x\), x \(\in\) [0, \(\frac{\pi}{2}\)] is decreasing is:

The area enclosed between \(y^2=4 x\) and \(x^2=4 y\) is:

The maximum value of \(\frac{\log x^3}{3 x}\) occurs at \(x=\)

Two events A and B are dependent if :

The number of all possible matrices of order \(2 \times 3\) with each entry 0 or 1 is

Identify the example of Australian Marsupial from the following:

Let \(f(x)=x^3\) be a function with domain \(\{0,1,2,3\}\) then domain of \(f^{-1}\) is:

Match List-l with List-ll

List-l (Electronic configuration)	List-II (lon)
(A) \([ Ar ] 3 d^{10}\)	(I) \(Ce ^{4+}\)
(B) \(\left[ X _{ e }\right]\)	(II) \(Cu ^{+}\)
(C) \([ Rn ]\)	(III) \(Th ^{4+}\)
(D) \([ Xe ] 4 f^{11} 5 d^1\)	(IV) \(Lu ^{2+}\)

Choose the correct answer from the options given below:

Read the passage carefully and answer the questions given along
Our immune system plays the major role in preventing diseases when we are exposed to disease-causing agents. Immunity is of two types: (i) Innate immunity and (ii) Acquired immunity. The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The immune system also plays an important role in allergic reactions, auto-immune diseases and organ transplantation. The primary lymphoid organs are bone marrow and thymus. The secondary lymphoid organs are spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. There is lymphoid tissue also located within the lining of the major tracts (respiratory, digestive and urogenital tracts) called mucosa associated lymphoid tissue (MALT). It is important to note that HIV/AIDS is not spread by mere touch or physical contact; it spreads only through body fluids. AIDS has no cure, prevention is the best option. Adolescence is accompanied by several biological and behavioural changes and surveys and statistics show that use of drugs and alcohol has been on the rise especially among the youth. Factors associated with drug and alcohol abuse among adolescents are a child's natural curiosity, stress, the perception among youth that it is 'cool' or progressive to smoke, media exposure and an unstable or unsupportive family structures and peer pressure. It is best to identify the situations that may push an adolescent towards use of drugs or alcohol, and to take remedial measures well in time.
Mucosa associated lymphoid tissue is absent in the

Select the steps of PCR technique from the following: DU Buddy
A. Primer synthesis
B. Primer annealing
C. DNA denaturation
D. Primer extension
E. DNA cleavage
Choose the correct answer from the options given below:

The amines which are soluble in water
(A) Methanamine
(B) Ethanamine
(C) Propanamine
(D) Benzylamine
Choose the correct answer from the options given below: