With reference to square matrices, which one of the following statement is NOT correct ?

If the area of a triangle whose vertices are (-1, 3), (1, -5) and (k, 2) where k > 0 is 30 sq. units, then the value of k is

The mean of the following probability distribution is:

X = x	P(X = x)
0	\(\frac{1}{4}\)
1	\(\frac{1}{2}\)
2	\(\frac{1}{4}\)

If \(y = x^2 \log_e x\), then \(\frac{d^2y}{dx^2}\) is equal to:

The integral \(\int_0^1 x(1-x)^n d x\) is equal to :

If \(R\) be a relation on the set of integers \(Z\), given by \(R=\{(a, b):(a-b)\) is a multiple of 3\(\}\), then \(R\) is :

The value of p so that the lines \(\frac{x-1}{-3}=\frac{2 y-2}{2 p}=\frac{z-3}{2}\) and \(\frac{x-1}{-3 p}=\frac{y-1}{4}=\frac{6-z}{5}\) are at right angles is

The osmotic pressure of a solution prepared by dissolving \(5 0 ~ m g\) of H2SO4 in 2 liters of water at \(2 5 ^{ \circ } C\) will be

The value of \(a+b+c+d\) if \(\left[\begin{array}{ll}2 a+b & a+2 b \\ 2 c+d & c+2 d\end{array}\right]=\left[\begin{array}{ll}8 & 4 \\ 3 & 3\end{array}\right]\) is :

Identify the cry gene that controls corn borer.

If \(A=\{1,2,3,4, \cdots, n\}\) and \(B=\{x, y\}\), then the number of surjections from \(A\) to \(B\) is

Read the passage carefully and answer the questions
The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
From which coordination complex, gold is recovered by reducing this complex with Zn ?

\(\int \frac{1}{(x+1)(x+2)} d x=\)