If \(A =\left(\begin{array}{cc}-a & b \\ c & a\end{array}\right)\) and \(A ^2= I\), where \(I\) is an Identity matrix of order 2, then which of the following is correct?

The inverse of the matrix \(A=\left[\begin{array}{cc}a & b \\ c & \frac{1+b c}{a}\end{array}\right]\) is:

The number of tangents to the curve \(x y-3 y+2=0\) having slope 2 is :

Evaluate \(: 3^{15} \bmod (7)\)

The relation \(R=\left\{(a, b): a \leq b^2\right\}\) on the set of real numbers is:

If a line makes angle π/3 and π/4 with the positive directions of x-axis and y-axis respectively, then the acute angle made by the line with positive direction of z-axis is

If \(x=t^4, y=t\), then \(\frac{d^2 y}{d x^2}\) is given by ______________

The correct shape \(\&\) hybridisation for \(XeF_2\) are:

Alcohol is a depressant, which means that even small amounts of alcohol slow down the actions of parts of the brain, so alcohol lengthens the time you take to respond to a stimulus.
Different people react differently to alcohol. In some people, it increase their feelings of aggression, and releases their inhibitions so that they are more likely to be violent or commit other crimes.
An alcoholic needs to drink quite large quantities of alcohol regularly. This causes many parts of the body to be damaged, because alcohol is poisonous to cells. Probably, there are many factors which decide whether or not a person becomes alcoholic. Over a long period of time, it can cause loss of memory and confusion. One way in which the damage is done is that alcohol in the body fluids draws water out of cells by osmosis.
Effect of alcohol on cells is -

Continued self-pollination results in:

Let the matrix \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]\). Then which of the following are true?
(A) \(\operatorname{adj} A =\left[\begin{array}{cc}4 & -3 \\ -1 & 2\end{array}\right]\)
(B) \(\operatorname{det}( A )=5\)
(C) \(\operatorname{det}(\operatorname{adj} A )=25\)
(D) If \(A^3=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]\), then \(a+b=c+d\)
Choose the correct answer from the options given below :

The conductivity of electrolytic (ionic) solution depends on
(A). Nature of electrolyte added
(B). Nature of solvent
(C). Temperature
(D). Size of ions produced
Choose the correct answer from the options given below :

Mature mRNA is a fully processed