Mathematics Tes...

\(\left(A \cap B^{\prime}\right) \cup\left(A^{\prime} \cap B\right) \cup\left(A^{\prime} \cap B^{\prime}\right)\) is equal to:

Which one of the following factors does the expansion of the determinant\(\left|\begin{array}{ccc}x & y & 3 \\ x^{2} & 5 y^{3} & 9 \\ x^{3} & 10 y^{3} & 27\end{array}\right|\) contain?

The differential form of the equation \((y-b)=a \sin x\):

The solution of \(x^2 \frac{d y}{d x}=x^2+x y+y^2\) will be:

If (h, k) are the perpendicular distances from (1, 2, 3) to the x-axis, z-axis respectively, then hk is:

Consider the following in respect of a complex number \(Z\):

1. \(\overline{\left(Z^{-1}\right)}=(\bar{Z})^{-1}\)

2. \(Z Z^{-1}=|Z|^{2}\)

Which of the above is/are correct?

Find the sum of the series \(2+6+18+54+\ldots+4374 \).

What is the value of \(\operatorname{cosec}^{2} \cot ^{-1}\left(\frac{5}{12}\right) ?\)

If five friends received their pocket money as 170, 430, 300, 600 and 470 respectively. Find the mean and mean deviation of the received pocket money.