Class 12th

The bar graph given below shows the profit earned by 5 PSU's from 2017 to 2021

In how many years the P5  profit has not decreased in comparison to the previous year?

The bar graph given below shows the profit earned by 5 PSU's from 2017 to 2021

In which period was the change in P5 profit is maximum?

Directions: Answer the questions based on the following Graph.

The bar graph given below shows the profit earned by 5 PSU's from 2017 to 2021

In which year was the increase in P1 profit is maximum?

Amongst the following, the major product of the given chemical reaction is 

 

The value of   $\underset{n\to \infty }{lim}\frac{1}{n}{\displaystyle \sum _{r=0}^{2n-1}\frac{n^2}{n^2+4r^2}is:}$

Let $\overrightarrow{a}=\widehat{i}+\widehat{j}+\widehat{k}and\overrightarrow{b}=\widehat{j}-\widehat{k}.If\overrightarrow{c}$  is a vector such that $\overrightarrow{a}*\overrightarrow{c}=\overrightarrow{b}and\overrightarrow{a}.\overrightarrow{c}=3,$  then $\overrightarrow{a}.\left(\overrightarrow{b}*\overrightarrow{c}\right)is$ equal to

Let y = y(x) be a solution curve of the differential equation $\left(y+1\right)ta{n}^{2}xdx+tanxdy+ydx=0,$ $x\in \left(0,\frac{\pi }{2}\right).$  If $\underset{x\to 0^{+}}{lim}xy\left(x\right)=1,$  then the value of y   $\left(\frac{\pi }{4}\right)is:$

Let A and B be independent events such that P (A) = p, P(B) = 2p. The largest value of p, for which P (exactly one of A, B occurs) = $\frac{5}{9},is:$  

The value of ${\displaystyle \underset{\frac{-1}{\sqrt[]{2}}}{\overset{\frac{1}{\sqrt[]{2}}}{\int }}{\left({\left(\frac{x+1}{x-1}\right)}^2+{\left(\frac{x-1}{x+1}\right)}^2-2\right)}^{1/2}}$  dx is:

If A = $\left(\begin{array}{cc}\hfill \frac{1}{\sqrt[]{5}}\hfill & \hfill \frac{2}{\sqrt[]{5}}\hfill \\ \hfill \frac{-2}{\sqrt[]{5}}\hfill & \hfill \frac{1}{\sqrt[]{5}}\hfill \end{array}\right),$  B = $\left(\begin{array}{cc}\hfill 1\hfill & \hfill 0\hfill \\ \hfill i\hfill & \hfill 1\hfill \end{array}\right),i=\sqrt[]{-1},$  and Q = A^TBA, then the inverse of the matrix AQ²⁰²¹A^T is equal to