The matrix \(A=\left[\begin{array}{lll}0 & 0 & 5 \\ 0 & 5 & 0 \\ 5 & 0 & 0\end{array}\right]\) is a :
(A) Diagonal matrix
(B) Scalar matrix
(C) Square matrix
(D) Symmetric matrix
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The points on the curve \(\frac{x^2}{9}+\frac{y^2}{16}=1\) at which the tangents are parallel to \(x\) - axis are:

For \(A=\left[\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right]\) if \(M_{i j}\) and \(A_{i j}\) are the minor and the cofactor of \(a_{i j}\) respectively, then \(|A|\) equals to :
(A) \(a_{11} A_{11}+a_{12} A_{12}+a_{13} A_{13}\)
(B) \(a_{21} A_{12}+a_{22} A_{22}+a_{23} A_{32}\)
(C) \(a_{11} M_{11}-a_{12} M_{12}+a_{13} M_{13}\)
(D) \(a_{11} M_{11}+a_{12} M_{12}+a_{13} M_{13}\)
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If the vectors \(\vec{a}=3 \hat{i}-p \hat{j}+5 \hat{k}\) and \(\vec{b}=-6 \hat{i}+14 \hat{j}+q \hat{k}\) are collinear, then the value of \(p\) and \(q\) are :

For the linear programming problem,
Minimize (Z) =60x + 30y
subject to : \(2 x - y \geq-5 ; 3 x + y \geq 3 ; 2 x -3 y \leq 12; x , y \geq 0\)
the optimal value of \(z\) is

Magnetic moment of a thin bar magnet is ' M '. If it is bent into a semicircular form, its new magnetic moment will be

Match List-I with List-II

List-I	List-II
(A) Angle between \(\hat{ \imath }-\hat{ \jmath }\) and \(\hat{ \jmath }+\hat{ k }\)	(I) 0
(B) Angle between \(2 \hat{j}-\hat{k}\) and \(\hat{j}+2 \hat{k}\)	(II) \(\frac{2 \pi}{3}\)
(C) Angle between \(\hat{i}+2 \hat{j}\) and \(5 \hat{i}+10 \hat{j}\)	(III) \(\frac{\pi}{6}\)
(D) Angle between \(\sqrt{3} \hat{i}+\hat{j}\) and \(\hat{i}\)	(IV) \(\frac{\pi}{2}\)

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Arrange the following compounds in increasing order of boiling point.
(A) Ethanol
(B) Diethyl ether
(C) Ethanal
(D) Ethane
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The window of the house is in the form of a rectangle surmounted by a semi-circular portion, having a perimeter of 10 m as shown in figure.

If \(x\) and \(y\) represent the length and breadth of rectangular region, then relation between \(x\) and \(y\) is:

To obtain a n-type silicon semiconductor, it must be doped with

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 -

The first menstruation which begins at puberty is called :

Match the type of ligands given in List-I with appropriate examples given in List-II

List-I (Ligands)	List-II (Examples)
(A). Ambidentate	(I). thiocyanato
(B). Unidentate	(II). water
(C). Didentate	(III). oxalate
(D). Polydentate	(IV). ethylenediaminetetraacetate

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