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GUYS HOW WAS THE MATRIX MATCHING.................. ...

let f:R->R be a continuous function which satisfies f(x) = \int_{0}^{x}{f(t)dt} then the value of f(ln 5) is ...

The number of water molecules directly bonded to the metal centre in CuSO4.5H2O is ...

The correct statement about the following sugars X and Y are A) X is reducing sugar , Y is non reducing sugar B) X is non reducing sugar , Y is reducing sugar C) The glucosidic linkages in X and Y are alpha and beta respectiv ...

Among the following, state functions: A) Internal energy B) Irreversilbe expansion work C) reversible expansion work D) Molar Entrhalpy ...

The term that corrects for the attractive forces present in a real gas in the van der Waals equation is (A)nb (B)an2/V2 (C)-an2/V2 (D)-nb ...

Cv and Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure respectivley. Then A) Cp-Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas B) Cp+Cv is larger for a dia ...

coming to a very crude way of obtaining solution, substitute n=2 ...

if f(x) =1 + ax (a≠0) is the inverse of itself then what is the value of a? ...

Th emaximum value of the function f(x)=2x^3-15x^2+36x-48=0 on the set A={x|x2+20≤9x} is ...

A line with postive direction cosines passes through the point P(2,-1,2) and makes equal angles with the coordinate axes. The line meets the plane 2x+y+z=9 at point Q. The length of the line segment PQ equals A) 1 B) root 2 C ...

For a first order raction A-> P the temperature T dependent rate constant k was found to follow the equation log k = -2000/T + 6. The pre exponential factor A and the activatin energy Ea respectively are A) 1.0x106s-1 and ...

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Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5% respectively, the atomic mass of Fe is (A)55.85 (B)55.95 (C)55.75 (D)56.05 ...

In the reaction 2X+B2H6 -> [BH2X2]+ [BH4]- the amines X are A) NH3 B) CH3NH2 C) (CH3)2NH D) (CH3)3N ...

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The centres of two circles C1 and C2 each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segment joining the centres of C1 and C2 and C be a circle touching circles C1 and C2 e ...

The normal at a point P on the ellipse x2+4y2=16 meets the x axis at Q. If M is the midpoint of the line segment PQ, then the locus of M intersects the latus rectum of the given ellipse at the points \left(\ \pm3\sqrt{5}/2,\p ...

Paragraph for Question Nos. 13 to 15 p-amino-N,N-dimethylaniline is added to a strongly acidic solution of X. The resulting solution is treated with a few drops of aqueous solution of Y to yield blue coloration due to the for ...

I_n=\int_{-\pi}^{\pi}{\frac{\sin nx}{(1+\pi^x)\sin x}} .. n=0,1,2..... then A) In=In+2 B) \sum_{m=1}^{10}{I_{2m+1}}=10\pi C) \sum_{m=1}^{10}{I_{2m}}=0 D)In=In+1 ...

let p(x) be a polynomial of degree 4 having extremum at x=1,2 and \lim_{x\rightarrow 0}\left(1+p(x)/x^2 \right)=2 Then the value of p(2) is ...

if \frac{sin^4x}{2}+ \frac{cos^4x}{2}=1/5 then A) tan2x=2/3 B) \frac{sin^8x}{8}+ \frac{cos^8x}{127}=1/125 C) tan2x=1/3 D) \frac{sin^8x}{8}+ \frac{cos^8x}{127}=2/125 ...

The sum of first n terms of an AP is cn2, Then the sum of squares of these n terms is ...

L=\lim_{x\rightarrow 0}\frac{a-\sqrt{a^2-x^2}-x^2/4}{x^4}, a>0 if L is finite, A) a=2 B) a=1 C) L=1/64 D) L=1/32 ...

The smallest value of k for which both the roots of the equation x2-8kx+16(k2-k+1)=0 are real, distinct and have values at least 4 is ...

Let (x,y,z) be points with integer coordinates satisfying th esystem o fhomogeneous equations 3x-y-z=0 -3x+z=0 -3x+2y+z=0 Then the number of such points for which x2+y2+z2≤100 ...

The tangent PT and normal PN to the parabola y2=4ax at a point P on it meet its axis at points T and N respectively. The locus of the centroid of the traingle PTN is a parabola whose A) Vertex is (2a/3,0) B) Directrix is x=0 ...

If th efunction f(x) = x3+ex/2 and g(x)=f-1(x) then the value of g'(1) is ...

An ellipse intersects the hyperbola 2x2-2y2=1 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola.. If the axes of the eliipse are almong the coordinate axes, then A) Equation of ellipse is x2 ...

The total no of alpha and beta particles emitted in the nuclear reaction 238U92 ->214Pb82 is ...