The equation of the line (in Cartesian form) which passes through the point \((-2,4,5)\) and parallel to the line given by \(\frac{x+3}{3}=\frac{y-4}{5}=\frac{z+8}{6}\) is:

Match List-I with List-II

List - I (Differential Equations)	List - II (Degree/Order)
(A) Degree of the differential equation \(\frac{d^3 y}{d x^3}+2 \log x \cdot y=0\)	(I) 3
(B) Order of the differential equation \(\frac{d^4 y}{d x^4}+\left(\frac{d y}{d x}\right)^4+x y=0\)	(II) 2
(C) Degree of the differential equation \(\left(\frac{d^4 y}{d x^4}\right)^2+\left(\frac{d y}{d x}\right)^3+x^2 y=0\)	(III) 1
(D) Order of the differential equation \(\frac{d^3 y}{d x^3}+y\left(\frac{d y}{d x}\right)^3=0\)	(IV) 4

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Match List - I with List - II

LIST-I (Differential Equations)	LIST-II ( Degree)
(A) \(\left(\frac{d y}{d x}\right)^3+y x=0\)	(I) 2
(B) \(e^{\frac{d y}{d x}}+y^2+y^{\prime \prime}=0\)	(II) 1
(C) \(x y y^{\prime \prime}+x\left(y^{\prime}\right)^2-y y^{\prime}=0\)	(III) Not defined
(D) \(\left(y^{\prime \prime}\right)^2+y=0\)	(IV) 3

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A man rows 15 km upstream in 5 hours and 25 km downstream in 5 hours each time, then the speed of the stream is

The integrating factor of differential equation \(\frac{d y}{d x}+y \tan x=\sec x\) is:

The angle between the line \(2 x=3 y=z\) and \(x\) - axis is :

The interval in which the function \(f(x)=10-6 x-2 x^2\) is decreasing is :

Answer the question on the basis of passage given below :
Adsorption is a surface phenomenon and it differs from absorption which occurs throughout the body of the substance that absorbs. In physiosorption the attractive forces are mainly van der Waal's forces while in chemisorption ionic/covalent bonds are formed between particles of adsorbent and adsorbate. The catalytic activity of finely divided iron in Haber's process of ammonia manufacture can be explained by adsorption theory. Adsorption being an exothermic process, the heat of adsorption is utilised in enhancing the rate of the reaction. Adsorption has many applications being used in gas masks, control of humidity, chromatograph separation, curing diseases etc.
Which of the following is not a surface phenomenon?

Match List-I with List-II

List-I	List-II
(A) Size of nucleus	(I) A-Z
(B) Number of proton in \( {}_ZX^A \)	(II) Z
(C) Size of atom	(III) \( 10^{-10} \) m
(D) Number of neutrons in \( {}_ZX^A \)	(IV) \( 10^{-15} \) m

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Reducing sugars among the following are :
(A) Maltose
(B) Sucrose
(C) Lactose
(D) Fructose
(E) Cellulose
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Out of the following compounds, which will give iodoform test:
A. Isopropyl alcohol
B. Isobutyl alcohol
C. Secondary butyl alcohol
D. Ethyl alcohol
E. Acetic Acid
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Which of the following statements are correct?
A. Electric field lines are always perpendicular to equipotential lines.
B. A zero electric field inside a conducting sphere does not mean that the potential gradient is also zero.
C. The resultant of two electric fields is determined by vector addition of the two field strengths.
D. If the field lines get closer together at any place, it means that the field strength is decreasing.
E. The resultant potential at a point is just the sum of the individual potentials.
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Aldehydes and ketones undergo nucleophilic addition reactions. A nucleophile attacks the electrophilic carbon atom of polar carbonyl group from perpendicular to plane of \(sp^2\) hybridised orbitals of carbonyl carbon. The hybridisation of carbon changes from \(sp^2\) to \(sp^3\) and a tetrahedral alkoxide intermediate is formed. This captures \(H^+\) to give neutral product. In carboxylic acids, carbonyl carbon is less electrophilic than carbonyl carbon in aldehydes and ketones.
The optimum pH for carrying out the reaction of aldehyde with hydroxylamine to form oxime is :