Mathematics Tes...

If 2sin²A + 3cos²A = 2, find the value of (tanA – cotA)² where sinA > 0.

If \(A=\left|\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2\end{array}\right|\) and \(B=\left|\begin{array}{lll}1 & 2 & 3 \\ 0 & 1 & 3 \\ 0 & 0 & 2\end{array}\right|\). Then the determinant \(A B\) has the value:

If \(\mathrm{A}=\left(\begin{array}{cc}-2 & 2 \\ 2 & -2\end{array}\right)\), then which one of the following is correct?

The problem of maximizing \(z=x_{1}-x_{2}\) subject to constraints \(x_{1}+x_{2} \leq 10, x_{1} \geq 0, x_{2} \geq\) 0 and \(x_{2} \leq 5\) has:

Which of the following is not negation of statement “Sum of 2 and 3 is greater than 4”?

A box contains \(100\) round discs, \(50\) square - shaped discs and \(30\) triangular discs. All the discs are made up of iron and have an equal probability of getting attracted by a magnet. If a magnet which can attract only one disc in one pass and the disc is passed over them twice. What is the probability that both times a triangular disc is attracted? The disc attracted in one pass does not fall into box again, however each time a square shaped disc is kept into the box:

The number of integral values of \(m\) for which the quadratic expression, \((1+2 m) x^{2}\) \(-2(1+3 m) x+4(1+m), x \in R\), is always positive, is:

If \(-2<2 x-1<2\) then the value of \(x\) lies in the interval:

Approximately, the coefficient of variation for the given data where Pearson's second measure of skewness = 0.42, arithmetic mean = 86 and median = 80, is: