If \( \left( 3y - \frac{3}{y} \right) = 5,\) find the value of \(
\left( y^{2} + \frac{1}{y^{2}} \right).
\)
The wages (in f) earned by a labourer in twelve months of a year are shown in the following bar graph.
What is the average wage (in ₹) received by the labourer in the first five months of the year (given bar chart)?
If Pcosα = 3 and 4tanα = Q, then what is the relation between P and Q, which is independent of α?
\(
\frac{9}{p^{2}} + \frac{16}{q^{2}} = 1
\)
\(
\frac{9}{p^{2}} - \frac{16}{q^{2}} = 1
\)
\(
\frac{p^{2}}{9} - \frac{q^{2}}{16} = 1
\)
\(
\frac{p^{2}}{9} + \frac{q^{2}}{16} = 1
\)
Simplify the following expression: