Mathematics Tes...

If \(A =\left[\begin{array}{rr}0 & - i \\ i & 0\end{array}\right]\) and \(B =\left[\begin{array}{rr}1 & 0 \\ 0 & -1\end{array}\right]\) are matrices, then \(AB + BA\) is:

How many 5-digit prime numbers can be formed using the digits 1, 2, 3, 4, 5 if the repetition of digits is not allowed?

If the slope of one of the lines represented by \(a x^{2}+2 h x y+b y^{2}=0\) (be the square of the other, then):

A dice was thrown \(500\) times frequencies for the outcomes \(1,2,3,4,5\), and \(6\) are given in the table.

What is the probability of getting ‘\(4\)’ as outcome?

If \({ }^{n} P_{r}=3024\) and \({ }^{n} C_{r}=126\) then find \(n\) and \(r\).

The total number of terms in the expansion of \((x+a)^{47}-(x-a)^{47}\) after simplification is:

Find the equation of a circle touching both the x-axis and y-axis and has centre at (-2, -2).

Two coins were tossed \(200\) times and the following results were obtained.

Two heads: \(55\)

One head and one tail: \(105\)

Two tails: \(40\)

What is the probability of event of obtaining minimum one head?