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Find the values of x where the curve y = x\(^3\) + 2x\(^2\) - 5x - 6 crosses the x - axis.
If P = \(\begin{pmatrix} 1 & 0 & -1 \\ 3 & 4 & 5 \\ -1 & 0 & 1 \end{pmatrix}\), then |P| is
The inverse of the matrix \(\begin{pmatrix} 2 & 1 \\ 1 & 1 \end{pmatrix}\) is
The graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20 marks?
The shaded area in the diagram above is represented by
Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)
The shaded region in the Venn diagram above is
Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)
Given that \(\sqrt[3]{{4}}\)\(^{2x}\) = 16, find the value of x
If 6logx2 - 3logx3 = 3log50.2, find x.
Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive?
The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec
Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....
Factorize completely ac - 2bc - a\(^2\) + 4b\(^2\)