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If p + q = 1, then show that *Image* ...
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1) Why ether is used in preparing Grignard's Reagent? 2) C6H12 (A) has chirality but on hydrogenation A is converted into C6H14( B) in which the chirality disappears. Write the IUPAC name of A. ...
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\hspace{-16}$Find all Integer Roots of the equation\\\\ $\mathbf{\cos\left(\frac{\pi}{10}\left(3x-\sqrt{9x^2+80x-40}\right)\right)=1}$ ...
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1))Locate the Chiral carbon in the following compounds:: a) 2-cyclopenten-1-ol b) 1,1,2-trimethylcyclobutane c) 2-methylcyclohexanone d) 4-methylcyclohexanone 2) Write the structure of the compound of C4H8 which reacts with a ...
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I don't know which book to follow for organic chemistry. I have the arihant organic book(by R.K.Gupta) but i don't like the pattern as it does not give any explanation to the answers of the exercises. Is the new arihant Organ ...
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f(x)=ax3+bx2+cx+dsin x. Findthe condition that f(x) is always injective function. 2. Let f: X→Y be a function defined by f(x)= a sin(x+pi/4)+b cos x+c.If f(x) is bijective,find X. ...
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\hspace{-16}$If $\mathbf{f:\mathbb{N}\rightarrow \mathbb{R}}$ be a function such that $\mathbf{f(1)=\frac{2007}{6}}$ and \\\\\\ $\mathbf{\frac{f(1)}{1}+\frac{f(2)}{2}+\frac{f(3)}{3}+.........+\frac{f(n)}{n}=\frac{n+1}{2}.f(n) ...
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\hspace{-16}$Determine all Positive Integer that satisfy $\mathbf{\frac{1}{x}+\frac{2}{y}+\frac{3}{z}=1!}$\\\\ ...
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If the function f:R→A given by f(x)= ex-e-|x|/ex+e|x| is surjectoon then find A. ...
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f\left(x \right)=\cos \left(\frac{\Pi }{x} \right) then prove that f(x) is increasing in the interval \left(\frac{1}{2n+1} ,\frac{1}{2n}\right) n\epsilon N ...
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Here are the problems of RMO 2011 *Image* Source: Mathlinks. ro ...
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how to use latex? ...
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*Image* in the given figure find the velocity of the cylinder. assume the cylinder remains in touch with the wedges. all surfaces are frictionless. ...
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\hspace{-16}$The no. of solution of the equation $\mathbf{ae^x=1+x+\frac{x^2}{2}}$\\\\ Where $a>0$ ...
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\hspace{-16}$If $\mathbf{n}$ be a Positive Integer Then Prove that\\\\\\ $\mathbf{\frac{1}{\binom{2009}{1}}+\frac{1}{\binom{2009}{2}}+\frac{1}{\binom{2009}{3}}+..............+\frac{1}{\binom{2009}{n+1}}<\frac{1}{2007}}$ th ...
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Q: How many alcohols with formula C 5 H 11 O will give an aesthatic substance on treatment with Cl2/Ca(OH)2 This is a FIITJEE question. I however could not find any any alcohol with the given formula? Need Help! ...
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\hspace{-16}$Find all positive Integer $\mathbf{x\;,y\;,z}$ such that \\\\ $\mathbf{x!=4y!+10z!}$ ...
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\hspace{-16}$find minimum value of $f(\theta)=a\sec\theta+b\csc\theta$\\\\ $0 <\theta<\frac{\pi}{2}$ ...
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Evaluate the following integral: ∫ √cos2x/sinx dx Plz show me the steps also. ...
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Prove that for $$a,b,c>0$$ $$\frac{1}{2a^{2}+bc}+\frac{1}{2b^{2}+ca}+\frac{1}{2c^{2}+ab}\leq \left( \frac{a+b+c}{ab+bc+ca}\right) ^{2}.$$ ...
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How many minimum H-atoms are required to observe maximum number of distinct spectral lines when an electron jumps from O shell to K shell ? A)3 B)4 C)5 D)6 ...
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This is the code of Targetiit Homepage.... [45] <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd"> <html> <head> <title>IIT JEE 2010 Preparation, Engineering Ent ...
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C1,C2 and C3 are 3 tangent circles, these circle tangent to a line too. If the radius of C1 is 9 and radius of C2 is 4. Find the raduis of c3. ...
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Find range: f(x)= sin2x+sinx-1/sin2x-sinx+2 ...
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Let x,y be two nonzero real numbers with a,b real show that : a2| x/y |+b2| y/x |≥2ab ...
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If x,y>0 show that : 1/x+y < 1/x + 1/y ...
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Though the ranks each year depends on the paper and the highest marks but still can someone please tell me approx how much do i need to get out of 200 to secure a rank within 500?? pls reply ..................... ...
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1) Find the total no.of +ve integral solutions of the inequality 3x+y+z<= 30.. Can a student not knowing multinomial theorem solve this Problem?? ...
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MY WBJEE rank is 510. I could not appear for the counselling on 22nd due to some reasons. Plz tell what should i do now? Will there be a 2nd phase counselling? Does jadavpur and shibpur take a 2nd phase counselling? ...
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i want to be a cosmologist. But i want 2 do that in any one of the IITs. Is there any course related to Cosmology in IITs? and btw i heard about IIST. is there any courses offerd for UG relating to space science? i know my qu ...
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