The function \(f: R \rightarrow[-1,1]\) defined by f(x) = cos x is:

Area of the region bounded by the curve \(y^2=4 x, y\)-axis and the line \(y=3\) is equal to:

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

The value of \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}(\sin |x|-\cos |x|) d x\) is :

It water is mixed with milk to gain \(20\%\) by selling the mixture at cost price. Then ratio of water to milk in mixture, is :

Let \(A=\left[a_{i j}\right]_{n \times n}\) be a matrix, then match List-I with List-

List-I	List-II
(A) \(|A|=0\)	(I) A is a symmetric matrix
(B) \(|A| \neq 0\)	(II) A is a skew-symmetric matrix
(C) \(A^T=A\)	(III) A is a singular matrix
(D) \(A^T=-A\)	(IV) A is a non-singular matrix

Choose the correct answer from the options given below:

If \(A=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2\end{array}\right]\) then \(A^5\) is :

Arrange the following in order of their appearance, if a sperm starts travelling from testicular lobules?
(A) Urethra
(B) Vas deferens
(C) Urethral meatus
(D) Vasa efferentia
Choose the correct answer from the options given below:

The area bounded by the curve \(y=\log x, y=0\) and \(x=e\), is

For which value of \(k\), inverse does not exist for the matrix\(
\left[\begin{array}{ll}
1 & 2 \\
k & 6
\end{array}\right]
\)

The corner points of the feasible region of the LPP: Minimize \(Z=-50 x+20 y\) subject to
\(2 x-y \geq-5,3 x+y \geq 3,2 x-3 y \leq 12\) and \(x, y \geq 0\) are:

Match List I with List II

LIST I	LIST II
A. Pain killers	I. Antipyretics
B. Treatment of infections	II. Analgesics
C. Reducing fever	III. Antibiotics
D. Treatment of depression	IV. Tranquilizers

Choose the correct answer from the options given below:

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.
Continuous intake of alcohol causes _________