The value of \(2 y-3 x\), if \(2\left[\begin{array}{cc}x & 5 \\ 7 & y-3\end{array}\right]+\left[\begin{array}{cc}3 & -4 \\ 1 & 2\end{array}\right]=\left[\begin{array}{cc}7 & 6 \\ 15 & 14\end{array}\right]\) is :

If a young man drives his vehicle \(25 km / hr\), he has to spend Rs. 2 per km on petrol.
If he drives it at faster speed of \(40 km / hr\), the petrol cost increases to Rs. 5 per km.
He has Rs. 100 to spend on petrol and travel within one hour. The maximum distance he travels is :

Match List I With List II

List I	List II
A. \(\frac{d^2 y}{d x^2}=\left(\frac{d y}{d x}\right)^{\frac{3}{2}}\)	I. order + degree \(=2\)
B. \(2\left(\frac{d^3 y}{d x^3}\right)^2+3\left(\frac{d^2 y}{d x^2}\right)+y\left(\frac{d y}{d x}\right)^2=e^x\)	II. order + degree \(=3\)
C. \(\frac{d y}{d x}+\frac{1}{d y / d x}=3\)	III. order + degree \(=4\)
D. \(\frac{d y}{d x}+x^2=5\)	IV. order + degree \(=5\)

The direction cosines of z-axis are:

The local minimum value of the function \(f(x)=|x|+2\), where \(x\) is a real number is :

The values of 'a' for which the vectors \(\vec{\alpha}=\hat{i}+2 \hat{j}+\hat{k}, \vec{\beta}=a \hat{i}+\hat{j}+2 \hat{k}\) and \(\vec{\gamma}=\hat{i}+2 \hat{j}+a \hat{k}\) are coplanar are:

If the lines \(\frac{1-x}{3}=\frac{y-2}{2 \lambda}=\frac{z-3}{2}\) and \(\frac{x-1}{3 \lambda}=\frac{y-1}{1}=\frac{6-z}{5}\) are perpendicular, then the value of \(\lambda\) is:

The meter bridge is a device

Which of the following electrolytes will have maximum coagulating value for \(\text{AgI/Ag}^{+}\) sol?

A ray of light is incident on an equilateral prism at an angle of 45° and is refracted parallel to the base of the prism. The angle of deviation would be

If \(x^2+2 x y+y^3=10\), then the value of \(\frac{d y}{d x}\) is:

The forbidden energy band gap in conductors, semi conductors and insulators are \( E_{G1}, E_{G2} \) and \( E_{G3} \), respectively. The relation among them is

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.
Identify the measure which is not useful for prevention and control of alcohol abuse among adolescents.