If the function \(f(x)=x^4-62 x^2+a x+9\) attains its local maximum value at \(x=1\), then \(a\) is equal to :

For the given values 8, 10, 12, 14, 16, the three-year moving averages are:

If \(\int_0^1 \frac{a \sqrt{x} d x}{\left(x^{3 / 2}+1\right)}=1\), then \(a\) is equal to:

A solenoid with \(2 \times 10^4\) turns per meter, diameter 0.1 m , has a coil of 100 turns and 0.01 m radius placed inside. If solenoid current decreases from 4 A to 0 in 0.05 s , total charge through coil is :

The derivative of \(\frac{\tan ^{-1} x}{1+\tan ^{-1} x}\) with respect to \(\tan ^{-1}\) is :

The probability of guessing correctly atleast 8 out of 10 answers on a true false type examination is :

The common region determined by all constraints of a Linear programming problem is called:

Arrange the following steps of the Hershey and Chase experiment in correct sequence:
(A) Labelling of some bacteriophages with radioactive phosphorus and some with radioactive sulfur.
B) Agitating in blender followed by centrifugation.
(C) Infecting E. coli in two batches with two differently labelled bacteriophages.
(D) Identification of radioactivity in supernatant and sediment
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Charge on a conducting metal sphere is present :

Read the passage and answer the question given below.
When a host is exposed to antigens, which may be in the form of living or dead microbes or other proteins, antibodies are produced in the host body. This type of immunity is called active immunity. Active immunity is slow and takes time to give its full effective response. Injecting the microbes deliberately during immunisation or infectious organisms gaining access into body during natural infection induce active immunity. When antibodies are directly given to protect the body against foreign agents, it is called passive immunity.
Match List I with List II

LIST I	LIST II
A. Physical Barrier	I. Saliva
B. Cellular Barrier	II. Interferons
C. Physiological Barrier	III. Skin
D. Cytokine Barrier	IV. Polymorpho-nuclear leukocytes

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What do you understand by termolecular reactions:

Match List-I with List-II

List-I(Stages of Human Evolution)	List-II (Characteristics)
(A) Ramapithecus	(I) Lived in East African grasslands
(B) Australopithecus	(II) Lived near East and central Asia
(C) Homo habilis	(III) Hairy and walked like gorillas
(D) Neanderthal Man	(IV) First human like being

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Match List I with List II

LIST I	LIST II
A. Serotonin	I. Antihistamine
B. Phenelzine	II. Antibiotic
C. Terfenadine	III.Tranquilizer
D. Vancomycin	IV. Anti depressant drug

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