Match List-I with List-II

List-I	List-II
(A) Angle between \(\hat{ \imath }-\hat{ \jmath }\) and \(\hat{ \jmath }+\hat{ k }\)	(I) 0
(B) Angle between \(2 \hat{j}-\hat{k}\) and \(\hat{j}+2 \hat{k}\)	(II) \(\frac{2 \pi}{3}\)
(C) Angle between \(\hat{i}+2 \hat{j}\) and \(5 \hat{i}+10 \hat{j}\)	(III) \(\frac{\pi}{6}\)
(D) Angle between \(\sqrt{3} \hat{i}+\hat{j}\) and \(\hat{i}\)	(IV) \(\frac{\pi}{2}\)

Choose the correct answer from the options given below:

If a random variable \(x\) follows Polseon's distribution such that \(P(x=2)=9 P(x=4)+90 P(x=6)\), them sum of the mean and variance of \(x\) is

Disha can run 1 km in 2 minutes 30 seconds and Amisha can cover the same distance in 2 minutes 40 seconds. Disha can beat Amisha by distance.

A card is selected at random from a pack of 52 playing cards.The selected card is a queen.The probability that this card is a card of spade is :

The set of values of \(x\) satisfying \(26 \equiv 5(\bmod x)\) is __________ .

The sum of two positive numbers is 60. If the sum of their squares is minimum, then the absolute value of the difference of their cubes is

Solution of differential equation \(x d y-y d x=0\) represents :

The vapour pressure of a solution is 2985 \(\text{Nm}^{-2}\) when 5 g of a non-electrolyte is added to 100 g of water at a particular temperature.
The vapour pressure of pure water at this temperature is 3000 \(\text{Nm}^{-2}\).
The molecular mass of the solute is

The corner points of the bounded feasible region for an LPP are : \((5,5),(15,15),(0,20)\) and \((0,10)\).
Let \(z=3 x+9 y\) be the objective function.
Then the value of maximum \((z)-\operatorname{minimum}(z)\) is :

Inactive protoxins is converted into its active toxin by:

If \(U_E=\) electric field energy density and \(U_m=\) magnetic field energy density, then

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
Restriction enzymes are also known as

Answer the question on the basis of passage given below :
Formaldehyde is the first member of the aldehydic series. It is present in green leaves of plants where its presence is supposed to be due to the reaction of \(CO_2\) with water in the presence of sunlight and chlorophyll. Commercially, formaldehyde is obtained by the controlled oxidation of methane in the presence of molybdenum oxide (\(MoO\)) acting as a catalyst. Formaldehyde is a constituent of a number of polymers also called resins. These are non volatile solids or semi solids which are obtained directly from certain plants and can be synthesized in the laboratory.
Match List I with List II

LIST I	LIST II
A. Bakelite formaldehyde resin	I. Condensation polymers
B. Melamine formaldehyde resin	II. Phenol and formaldehyde
C. Urea formaldehyde resin	III. Melamine and formaldehyde
D. Bakelite \(\&\) Melamine formaldehyde resin	IV. Unbreakable cups and laminated sheets

Choose the correct answer from the options given below: