Class 12th

Lithium nitrate and sodium nitrate, when heated separately, respectively, give:

Suppose the vectors $x_1,x_2$ and $x_3$ are the solutions of the system of linear equations, $Ax$ $=\mathrm{b}$ when the vector $\mathrm{b}$ on the right side is equal to ${\mathrm{b}}_1,{\mathrm{b}}_2$ and ${\mathrm{b}}_3$ respectively. If $x_1=\left[\begin{array}{l}1\\ 1\\ 1\end{array}\right],x_2=\left[\begin{array}{l}0\\ 2\\ 1\end{array}\right],x_3=\left[\begin{array}{l}0\\ 0\\ 1\end{array}\right],b_1=\left[\begin{array}{l}1\\ 0\\ 0\end{array}\right],b_2=\left[\begin{array}{l}0\\ 2\\ 0\end{array}\right]$ and $b_3=\left[\begin{array}{l}0\\ 0\\ 2\end{array}\right]$ , then the determinant of $A$ is equal of $A$ is equal to :

The area (in sq. units) of the largest rectangle $ABCD$ whose vertices $A$ and $B$ lie on the $x$ -axis and vertices $C$ and $D$ lie on the parabola, $y=x^2-1$ below the $x$ -axis, is:

The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives:

The integral ${\int }_{\pi /6}^{\pi /3}?{\mathrm{t}\mathrm{a}\mathrm{n}}^3?x\cdot {\mathrm{s}\mathrm{i}\mathrm{n}}^2?3x\left(2{\mathrm{s}\mathrm{e}\mathrm{c}}^2?x\cdot {\mathrm{s}\mathrm{i}\mathrm{n}}^2?3x+3\mathrm{t}\mathrm{a}\mathrm{n}?x\cdot \mathrm{s}\mathrm{i}\mathrm{n}?6x\right)dx$ is

In metallurgy the term “gangue” is used for:

The first ionization enthalpy on Na, Mg and Si, respectively, are : 496, 737 and 786 kJ mol^-1. The first ionization enthalpy (kJ mol^-1) of Al is:

The circle passing through the intersection of the circles, $x^2+y^2-6x=0$ and $x^2+y^2-4y$ $=0$ , having its centre on the line, $2x-3y+12=0$ , also passes through the point:

100 mL of 5% (w/v) solution of NaCl in water was prepared in 250 mL beaker. Albumin from the egg was poured into NaCl solution and stirred well. This resulted in a/an:

  $N_{2\left(g\right)}+3H_{2\left(g\right)}?2N{H}_{3\left(g\right)}$

20g     5g

Consider the above reaction, the limiting reagent of the reaction and number of moles of NH₃ formed respectively are: