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find the eq. to the circle which touches the x-axis , passes through the pt.(1,1)&whose centre lies in the first quadrant on the line x+y=3 . ...
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*Image* ...
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In a Triangle ABC, the bisector of angle A meets the opposite side at D. Using vectors Prove that BD : DC = c : b. (AIEEE Question Doubt) ...
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Given that the equation x^4+px^3+qx^2+rx+s=0 has four real, positive roots, prove that- (a)pr-16s\geq 0 (a)q^2-36s\geq 0 Is there any proof without using Cauchy-Schwarz? ...
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You have bought n chocolates from a shop. Now the shopkeeper offers that if you return the wrappers, then for every 3 wrappers, he will give you 1 more chocolate. And you can continue this exchange offer until you run out of ...
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what is usually the cut-off in nsep and nsec exmz?i know it varies but if someone can throw some light on it....pls ...
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How to find the intensity at any point on the axis of the ring? Please explain. ...
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what is this "VIRIAL EQUATION"????? i cant make head or tail ;-( please explain what this eqn mean Z=1+ B/Vm + C/Vm2 + D/Vm3 ........... ...
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think of a 2digit number.. add the two digits. add 1 to it... now close ur eyes....... Answer:- u have darkness!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! hee hee.....bad jokes like this r called MOKKAI in ta ...
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think of a 2digit number.. add the two digits. add 1 to it... now close ur eyes....... Answer:- u have darkness!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! hee hee.....bad jokes like this r called MOKKAI in ta ...
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Q1. We have T_{n}=(n^2+1)n! and S_{n}=T_{1}+T_{2}+....+T_{n} , If \frac{T_{n}}{S_{n}} =\frac{a}{b} where gcd(a,b)=1, , then find b-a. Q2. No of ordered pairs (a,b) such that (a+ib)^{2010}=a-ib is Q3. Let A,B,C be three subset ...
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Is there any proof to (n!)2≥nn without using induction? ...
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\hspace{-16}$Find Max. and Min. value of $\mathbf{f(x,y)=\frac{2x^2+7y^2-12xy}{x^2+y^2}}$\\\\ Where $\mathbf{x,y}$ are Real no. not Simultaneously Zero ...
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\hspace{-16}$Find Max. of Constant $k$ such that for any positive real no. \\\\ $a\;b\;,c$ with $abc=1$ satisfy the Inequality\\\\ $a^2+b^2+c^2+3k\geq (k+1)(ab+bc+ca)$ ...
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\hspace{-16}$Find all $a > 0,\;$ for which the equation\\\\ $a^{2x}- 4(x+1).a^x + 3x^2 + 10x + 3 = 0$ has $2$ real roots\\\\ in the interval $\left[-1, 2\right]$\\\\ ...
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\hspace{-16}$Calculate value of \\\\ $\binom{2010}{1}-\binom{2010}{3}+\binom{2010}{5}+................-\binom{2010}{2007}+\binom{2010}{2009}=$ ...
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Call a set of integers "spacy" if it contains no more than one out of any three consecutive integers. How many subsets of {1, 2, 3, ....... 12}, including the empty set, are spacy? ...
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find the solutions to 2x+ 2y + 2z = 2336. here x , y and z are positive integers.. ...
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Q:3A complex of Zn has the formula [Zn(NH3)x]Cl2 and on reaction with HCl forms NH+4 ions as : [Zn(NH3)x]Cl2+HCl → Zn2+ + NH+4+Cl- 1.02 g complex was treated with HCl and at the end point solution was treated with excess of ...
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Q:4 To determine the molar mass of a solid monoprotic acid ,a student titrated a weighted sample of the acid with standardized aqueous NaOH. Which of the following could explain why the student obtained a molar mass that was ...
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0.85 gram of saturated hydrocarbon is burnt completely in excess ofO2 gas and all CO2(g) evolved were absorbed in 100ml of NaOH solution. The solution was then separated into two equal parts by volume. One part of the solutio ...
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Q:1 A one gram sample containing NaOH as the only basic substance and some inert impurity was left exposed for a very long time so that part of NaOH got converted into Na2CO3 by absorbing CO2 from the atmosphere . The resulti ...
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If the boiling point of a certain compound is elevated what will be the change in its freezing point? ...
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\hspace{-16}$Solve for $\mathbf{x}$\\\\ $\mathbf{x^2-2x+2=\log_{\frac{2}{3}}(x^2+1)+\log_{\frac{2}{3}}(3x)}$ ...
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If sec^{-1}(x-3)+tan^{-1}(\sqrt{9y^{2}-1})+sin^{-1}(x^2+y^2) =\lambda , has no solution then find the exhaustive range of \lambda . ...
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The value of *Image* ...
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Expand this bond line formula to show all the atoms including carbon and hydrogen *Image* please explain your work. thanks in advance ...
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\hspace{-16}$Find Max. and Min. value of $\mathbf{\frac{y}{x}}$\\\\ If $\mathbf{(x-3)^2+(y-3)^2=6}$ ...
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\mathbf{\int_{0}^{4}x.\ln\left(\frac{4-\sqrt{x}}{4+\sqrt{x}}\right)dx} ...
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$\hspace{-16}Solve the equation \\\\ $\mathbf{64^x-27=343^{x-1}+\frac{3}{7}.28^x}$ ...