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 **

- A paraboloid
- an ellipsoid
- hyperboloid of one sheet
- 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 **

- \frac{l^2} {a}+ \frac {m^2} {b} + \frac{n^2} {c} = p^2
- \frac{l^2} {a^2}+ \frac {m^2} {b^2} + \frac{n^2} {c^2} = p^2
- a^2l^2+b^2m^2+n^2c^2=p^2
- None of these

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

- A May be non zero matrix
- A=0
- insufficient condition
- none of these

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

- \rho (AB)=n^2
- \rho (AB) \le n
- \rho (AB) = 2n
- 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

- Symmetric matrix
- Diagonal matrix
- Unitary matrix
- None of these

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