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List of top Mathematics-TT Questions

What will be the equilibrium constant of the given reaction carried out in a $ 5 \,L $ vessel and having equilibrium amounts of $ A_2 $ and $ A $ as $ 0.5 $ mole and $ 2 \times 10^{-6} $ mole respectively ? The reaction : $ \ce{A2 <=> 2A} $
At a certain temperature in a 5 L vessel, 2 moles of carbon monoxide and 3 moles of chlorine were allowed to reach equilibrium according to the reaction,$CO + Cl_{2} <=> COCl_2 $ At equilibrium, if one mole of CO is present then equilibrium constant $(K_c)$ for the reaction is :
If $P$ and $Q$ are symmetric matrices of the same order then $PQ - QP$ is
The locus represented by $xy + yz = 0$ is
If the sum of n terms of an A.P is given by $S_n = n^2 + n$, then the common difference of the A.P is
If f(x) = $\sin^{-1}$ $\left(\frac{2x}{1+x^{2}}\right)$, then f' $(\sqrt{3})$ is
If $2^x+2^y = 2^{x+y}$, then $\frac {dy}{dx}$ is
Let $P=[a_{ij}]$ be a $3\times3$ matrix and let $Q=[b_{ij}]$ where $b_{ij}=2^{i+j} a_{ij}$ for $1 \le i, j \le $.If the determinant of $P$ is $2$, then the determinant of the matrix $Q$ is
If $P$ and $Q$ are symmetric matrices of the same order then $PQ - QP$ is
If f(x) = $\sin^{-1}$ $\left(\frac{2x}{1+x^{2}}\right)$, then f' $(\sqrt{3})$ is
The locus represented by $xy + yz = 0$ is
If the sum of n terms of an A.P is given by $S_n = n^2 + n$, then the common difference of the A.P is
Let $P=[a_{ij}]$ be a $3\times3$ matrix and let $Q=[b_{ij}]$ where $b_{ij}=2^{i+j} a_{ij}$ for $1 \le i, j \le $.If the determinant of $P$ is $2$, then the determinant of the matrix $Q$ is
If $2^x+2^y = 2^{x+y}$, then $\frac {dy}{dx}$ is
If $P$ and $Q$ are symmetric matrices of the same order then $PQ - QP$ is
If f(x) = $\sin^{-1}$ $\left(\frac{2x}{1+x^{2}}\right)$, then f' $(\sqrt{3})$ is
If the sum of n terms of an A.P is given by $S_n = n^2 + n$, then the common difference of the A.P is
The locus represented by $xy + yz = 0$ is
The number of 4 digit numbers without repetition that can be formed using the digits 1, 2, 3, 4, 5, 6, 7 in which each number has two odd digits and two even digits is
If $2^x+2^y = 2^{x+y}$, then $\frac {dy}{dx}$ is
Let $P=[a_{ij}]$ be a $3\times3$ matrix and let $Q=[b_{ij}]$ where $b_{ij}=2^{i+j} a_{ij}$ for $1 \le i, j \le $.If the determinant of $P$ is $2$, then the determinant of the matrix $Q$ is
$\int\limits_{0}^{\pi /4} \log (1 + \tan \, x ) dx$ is equal to :
The radius of the circle $x^2+Y^2+4x+6y+13=0$ is
If $A =\begin{bmatrix} 3& 5 \\[0.3em] 2 & 0 \\[0.3em] \end{bmatrix}$ and $ \begin{bmatrix} 1& 17 \\[0.3em] 0 & -10 \\[0.3em]\end{bmatrix},$ then $|AB|$ is equal t
The solution of $\sin^{-1}\,x-\sin^{-1}\,2x=\pm\frac{\pi}{3}$ is

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