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The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is

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The solution for x of the equation $∫_{2}tt_{2}−1 dt =2π $ is:(A) 2 (B) $π$ (C) $23 $ (D) $22 $

For real x, let $f(x)=x_{3}+5x+1$, then

Which one of the following reactions of Xenon compounds is not feasible ?

The set representing the correct order of ionic radius is

Statement 1: The variance of first n even natural numbers is $4n_{2}−1 $Statement 2: The sum of first n natural numbers is $(n2n+1 $and the sum of squares of first n natural numbers is $(n(n+1)62n+1 $

Two liquids X and Y form an ideal solution. At 300K, vapour pressure of the solution containing 1 mol of X and 3 mol of Y is 550 mm Hg. At the same temperature, if 1 mol of Y is further added to this solution, vapour pressure of the solution increases by 10 mm Hg. Vapour pressure (in mmHg) of X and Y in their pure states will be, respectively

Standard entropy of $X_{2},Y_{2}andXY_{3}$ are 60, 40 and 50 $JK_{−1}mol_{−1}$, respectively. For the reaction,

The function $f(x)=tan_{−1}(sinx+cosx)$is an increasing function in