bsc mathematics 2nd semester 1st year question paper

Bsc Second Semester Examination 2022 question paper

bsc mathematics question paper mcq BSc Mathematics Second Semester Question Papers 2022

The surface \frac{x^2} {3}+ \frac {y^2} {9} - \frac{z^2} {5} = 1 \; \; represents

1. A paraboloid
2.  an ellipsoid
3.  hyperboloid of one sheet
4.  none of these 

The condition for plane lx+my+nz=p Being a tangent plane of conicoid ax^2+by^2+cz^2=1 is 

1. \frac{l^2} {a}+ \frac {m^2} {b} + \frac{n^2} {c} = p^2
2. \frac{l^2} {a^2}+ \frac {m^2} {b^2} + \frac{n^2} {c^2} = p^2
3. a^2l^2+b^2m^2+n^2c^2=p^2
4. None of these 

If A is a real symmetric matrix such that A^5=0 then

1. A May be non zero matrix
2.  A=0
3.  insufficient condition
4.  none of these 

Let A and B be any two matrices of size nxn and then following option is true 

1. \rho (AB)=n^2
2. \rho (AB) \le n
3. \rho (AB) = 2n
4. None of these

The normal form of matrix

A=\begin{pmatrix}
1 & 1\\ 
1 & 2
\end{pmatrix} \;  is 

option 1.

\begin{pmatrix}
1 & 0\\ 
0 & 1
\end{pmatrix}

option 2.

\begin{pmatrix}
1 & 0\\ 
0 & 0
\end{pmatrix}

option 3.

\begin{pmatrix}
0 & 0\\ 
0 & 0
\end{pmatrix}

option 4. None of these

The matrix 

\begin{pmatrix}
 1 & 2 \\ 
 2 & 0 
\end{pmatrix} \; \; is \; a

1. Symmetric matrix
2. Diagonal matrix
3. Unitary matrix
4. None of these 

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