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prove that e^{x}+\sqrt{1+e^{2x}}>(1+x)+\sqrt{2+2x+x^{2}} for x belongs to R(note its ≥ not >) ...
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Q1 A_x=\begin{bmatrix} a_{11}+x & a_{12}+x & a_{13}+x\\ a_{21}+x & a_{22}+x &a_{23}+x \\ a_{31}+x & a_{32}+x & a_{33}+x \end{bmatrix} Prove A_x=A(0)+x\sum_{k=1}^{3}{\sum_{l=1}^{3}{A_{lk}}} Q2 If a,b>0 and a3+b3=a-b,then pr ...
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1)LET C1 and C2be two parabola x2=y-1 and y2=x-1.let p be any point on c1 and Q be any pont on C2. P' and Q' are the reflection of P and Q respectively w.r.t y=x line then proove: !)Prove PQ>min(PP',QQ') 2)hence determine ...
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Does anyone have sufficient material about Back bonding online? What is all this pπ-pπ and dπ-dπ?? ...
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1] Salt having least solubility in Water BaCl2 BaNO3 MgSO4 BaSO4 2] Lowest enthalpy of Fusion F2 H2 Cl2 Helium 3] Strongest P-O bond is found in F3PO Cl3PO Br3PO (CH3)3PO 4] Arrange increasing Solubility of Na2SO4 BeSO4 MgSO4 ...
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A 4:1 molar mixture of the end CH4 is contained in the vessel at 20 bar pressure. Due to a hole in the vessel the gas mixture leak out. what is the composition of the mixture effising out initially ? ...
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20% N2O4 molecules are dissociated in a sample of gas at 27° C and 760mm of Hg. Calculate the density of the equilibrium mixture ? ...
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*Image* the cell is ideal. what is th PD across the capacitor?? pleaxe xplain. ...
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Phenol reacts with acetone in the presence of hydrochloric acid. Predict the product...... Is diphenyl derivative obtained? ...
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*Image* each side has R resi. this sys. will last till infinite series ? ...
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Ex=0 and Ey=k y in a 2dimensional plane map the electric field lines. ...
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*Image* what is the current flowing in G? PD across 5F capacitor.... PD across 4F capacitor... ...
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The OH group of methyl alcohol cannot be replaced by chlorine by the action of (a) Cl 2 (b) H Cl (c)P Cl 3 (d) P Cl 5 ...
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Which statement is/are correct about free radical halogenation of alkanes :- 1) The number of product molecules formed by one photon is very high 2) If O2 is added, initially the rate decreases then it increases. 3) Inhibitor ...
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1 mole each of Bromo-Derivative (A) and NH3 react to give 1 mole of an organic compound (B). B reacts with Methyl Iodide (CH3I) to give (C). Both B & C react with Nitrous acid to give D & E respy. D is oxidised and subsequent ...
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Why the lowest oxide of transition metals is basic,whereas the highest is amphoteric/acidic?? ...
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If t1, t2, t3,...tn are the roots of the equation - xn +px + q =0 , then (t1- t2)(t1- t3)(t1- t4) ... (t1- tn) = ? (a) n.p (b) n.t1n +p (c) n.t1n-1 +p (d) n.t1 +p ...
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Paper 2 Let x1,x2,....,xn be a sequence of integers such that -1 ≤ xi ≤ 2 for all i belongs to {1,2,...n} ; x1 +x2 + x3 + ....+ xn = 19 x12+x22 +...+xn2 = 99 Let m,M be the least and greatest values of x13 + x23 +...+xn3 ...
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In nitroprusside ion, the iron & NO exists as Fe(2) & NO+ rather than Fe(3) & NO.These forms can be differentiated by- a)estimating the conc. Of iron b)measuring the conc. Of CN- c)measuring the solid state magnetic moment d) ...
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Is the momentum of a closed system of particles remains constant in an inertial reference frame or not ????? Is the momentum conservation law holds only in inertial frames ?????? Well there is a reason for posting such a simp ...
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arrange in inc order of acidity: [Na(H20)6]+ [Sc(H20)6]3+ [Fe(H20)6]3+ [Mn(H20)6]2+ [Ni(H20)6]2+ ...
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Consider a planet whose mass and radius is half of the earth,and the surface temperature is abt 800K,Can we predict whether oxygen is in the planet's atmosphere ...
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Q1 Boiling CuCl2 with excess copper turnings and conc HCl gives ?? Q2 Cu2+ is more stable than Cu+ due to ?? Q3 CuSO4 + lime = ?? Q4 Yellow mercuric oxide is obtained by? Q5 The iron salt used in blue prints is ?? ...
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Assume that the day began 10-12 hrs late.. i forgot to post the question today! here it is in a hurrry.. i modified a question of irodov.. Dont have a final solution .. but the fearless and the conceptful should give it a sho ...
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If three normals are drawn from pt. (p,0) to parabola y2=x then p > 2a where a=1/4. True or false. and reason ?? ...
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There are 2 irreducible polynomials f and g with rational coeff.Now let there be 2 complex numbers a and b s.t. f (a) = g (b) = 0. Prove that if a+b is rational number, then f and g must have same deg. ...
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*Image* The acceleration a of the supporting surface required to keep the centre G of the circular cylinder in a fixed position during the motion if there is no slipping between the cylinder and the support will be :_________ ...
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Can anyone please tell me what is a common normal between 2 curves and most important : How does a common normal between two parabolas look like ???? ...
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Can anyone please tell me what is a common normal between 2 curves and most important : How does a common normal between two parabolas look like ???? ...
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Suppose we have a rotating horizontal disc . A man stands at the edge of the disc. We say that the net moment of inertia of the system is MR2/2 + mR2 where M is the mass of the disc and m is of the man. Then my statement is T ...