‘Shanta Enterprises’ was in the business of manufacturing solar panels for the last fifteen years. With their expertise now they were able to manufacture good quality solar panels at lower cost. As a result ‘Shanta Enterprises’ was flooded with orders and was able to generate a good profit margin.
To motivate the employees the company decided to compensate some of them for their hard work. Arvind and Yogesh, who were working on contract basis, were absorbed permanently in the company. Both were happy as now there was stability about their future income. Ekta, a regular employee of the company, working as Research and Development Head, was awarded the ‘Best Employee of the year Award’.
If \(\begin{vmatrix} 2x & 3 \\ x & -8 \\ \end{vmatrix} = 0\), then the value of \(x\) is:
Two persons are competing for a position on the Managing Committee of an organisation. The probabilities that the first and the second person will be appointed are 0.5 and 0.6, respectively. Also, if the first person gets appointed, then the probability of introducing a waste treatment plant is 0.7, and the corresponding probability is 0.4 if the second person gets appointed.
Based on the above information, answer the following
During the festival season, a mela was organized by the Resident Welfare Association at a park near the society. The main attraction of the mela was a huge swing, which traced the path of a parabola given by the equation:\[ x^2 = y \quad \text{or} \quad f(x) = x^2 \]