If \(5 x+y \leq 100, x+y \leq 60, x \geq 0, y \geq 0\). Then one of the corner points of the feasible region is:

In a game, A can give 36 points to B, A can give 42 point to C, B can give 10 points to C. How many points make the game?

If \(A\) is a square matrix of order 3 such that \(|A|=3\) then \(|\operatorname{adj}(\operatorname{adj} A)|\) is equal to:

Area bounded by the curve \(y=\log x, x\)-axis, \(x=1\) and \(x=2\) in square units is:

The slope of the normal to the curve \(y=2 x^2\) at \(x=1\) is:

The value of the expression \(\sin[\cot^{-1}(\cos(\tan^{-1} 1))]\) is:

The area of the region \(\left\{(x, y): y \geq x^2\right.\) and \(\left.y \leq|x|\right\}\) is

The angular momentum of an electron in the third orbit of a hydrogen atom is (Given \( h = 6.6 \times 10^{-34} \text{ J s} \))

The steps of DNA fingerprinting are given below. Arrange them in a correct sequence.
(A) Separation of DNA fragments by electrophoresis
(B) Hybridisation using labelled VNTR probe
(C) Isolation and digestion of DNA
(D) Detection of hybridised DNA fragments by autoradiography
(E) Transferring of separated DNA fragments to synthetic membranes
Choose the correct answer from the options given below :

The demand function (in Rs.) for a product is \(P=20-0.25 x\). where P is the price per unit and \(x\) is the number of units sold. Find the price of one unit when the revenue is maximized

Read the passage given below and answer the question.
Phenols and Alcohol have the same function group (-OH) but phenols are stronger acids than alcohol due the resonance stabilization of phenoxide ion than alkoxide ion (-RO\(^{-}\)). Electron withdrawing groups tend to increase the acidic strength while electron releasing groups tend to decrease it.
Which of the following reagent is used to distinguish between phenol and benzoic acid ?

Read the passage carefully and answer the questions based on the passage:
The number of reacting species (atoms, ions or molecules) taking part in an elementary reaction, which must collide simultaneously in order to bring about a chemical reaction is called molecularity of a reaction. In the rate equation Rate \(=k[\mathrm{~A}]^x[\mathrm{~B}]^y\)
\(x\) and \(y\) indicate how sensitive the rate is to the change in concentration of A and B, respectively. Sum of these exponents, i.e., \(x +y\) gives the overall order of a reaction where \(x\) and \(y\) represent the order with respect to the reactants A and B respectively. Hence, the sum of powers of the concentration of the reactants in the rate law expression is called the order of that chemical reaction. For a first order reaction, the concentration of the reactant varies as \([\mathrm{R}]=[\mathrm{R}]_0 e^{-k t}\)
The conversion of molecules \(X\) to \(Y\) follows second order kinetics. If the concentration of \(X\) is increased to four times, how does it affect the rate of formation of \(Y\) ?

Which structure of proteins gives rise to fibrous and globular proteins?