Draw the graphs of the equations \(x – y + 1 = 0 \)and \(3x + 2y – 12 = 0\). Determine the coordinates of the vertices of the triangle formed by these lines and the \(X\)-axis, and shade the triangular region.
The following table gives the distribution of the life time of 400 neon lamps :
1500 - 2000
14
2000 - 2500
56
2500 - 3000
60
3000 - 3500
86
3500 - 4000
74
4000 - 4500
62
4500 - 5000
48
Find the median life time of a lamp.
In the decomposition reaction AB\(_5\)(g)\(\rightleftharpoons\) AB\(_3\)(g) + B\(_2\)(g), at equilibrium in a 10-litre closed vessel at 227 C, 2 moles of AB\(_3\), 5 moles of B\(_2\) and 4 moles of AB\(_5\) are present. The equilibrium constant K\(_c\) for the formation of AB\(_5\)(g) is