In a Binomial distribution, the probability of getting a success is \(\frac{3}{4}\) and the variance is \(\frac{3}{8}\) then the probability of no success is:

The area under the curve \(y=2 \sqrt{2 a x}\) bounded by the lines \(x-4=0\) and \(y=0\) is \((a>0)\) :

The graph given below represents which of the following function?

The value of \(k\) for which the system of equations
\(\begin{array}{l}x+y+z=1 \\x-k y+z=1\end{array}\)
\(x-y+z=1\)
has more than one solution is :

If \(\int \frac{x^4}{x-2} d x=p x+q x^2+r x^3+s x^4+t \log |x-2|+C\), where \(C\) is an arbitrary constant and \(p, q, r, s, t\) are real numbers, then the correct arrangement of \(p, q, r, s, t\) is

The simplest form of \(\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right), x \neq 0\) is:

If \(x\) is real, the minimum value of \(x^2-8 x+20\) is :

The value of \(\int_0^{\frac{\pi}{2}} \frac{\sqrt{\cot x}}{\sqrt{\tan x}+\sqrt{\cot x}} d x\) is:

When an \( \alpha \)-particle of mass M moving with velocity v bombards a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on M as

The standard electrode potential for a Daniell cell is 1.1 V. Calculate the standard Gibbs energy for the reactiction
\(Zn ( s )+ Cu ^{2+}( aq ) \rightarrow Zn ^{2Solution+}( aq )+ Cu ( s )\)

Read the following passage carefully and answer the given questions.
Plasmodium, a tiny protozoan is responsible for the disease malaria. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal. Innate immunity consist of four types of barriers. These are – (i) Physical barriers- skin on our body is the main barrier which prevents entry of the micro-organisms. (ii) Physiological barriers- Acid in the stomach, saliva in the mouth, tears from eyes-all prevent microbial growth. (iii) Cellular barriers- Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. (iv) Cytokine barriers- virus-infected cells secrete proteins called interferons which protect non-infected cells from further viral infection. Allergy is due to the release of chemicals like histamine and serotonin from the mast cells. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused.
Which one of the following drugs is not used as medicine to help patients cope with mental illnesses like depression and insomnia?

When a potential difference is applied across the ends of a conductor, the electric field exists :

The correct shape \(\&\) hybridisation for \(XeF_2\) are: