Processing math: 12%




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6.

if  11cotxdx=Ax+Blog|sinxcosx|+c   then A+B


A) 1

B) -1

C) 0

D) -2



7.

 if \omega  is a complex cube root of unity and 

A=\begin{bmatrix}\omega & 0&0 \\0& \omega^{2} &0 \\ 0 & 0 &1\end{bmatrix}  then A-1=


A) \begin{bmatrix}\omega^{2} &0&0 \\0 & \omega^{} &0 \\ 0 & 0 &1\end{bmatrix}

B) \begin{bmatrix}1& 0&0 \\0& 1 &0 \\ 0 & 0 &1\end{bmatrix}

C) \begin{bmatrix}1 & 0&0 \\0& \omega^{2} &0 \\ 0 & 0 &\omega^{}\end{bmatrix}

D) \begin{bmatrix}0 & 0&\omega \\0& \omega^{2} &0 \\ 1 & 0 &0\end{bmatrix}



8.

The edge of a cube is decreasing at the rate of 0.04 cm/sec . If the edge of the cube  is 10 cms, then the rate of decrease of surface area of the cube is 


A) 4.8 cm^{2}/sec

B) 4.08 cm^{2}/sec

C) .48 cm^{2}/sec

D) 4.008 cm^{2}/sec



9.

Let  a: \sim (p \wedge \sim r)\vee (\sim q \vee s)    and 

b: \ (p \vee s)\leftrightarrow ( q \wedge r) .If the truth  values of p and q are true and that of r and s are false, then the truth values of a and b  be respectively...........


A) F, F

B) T, T

C) T, F

D) F,T



10.

 The vector equation of the plane 

r= (2\hat{i}+\hat{k})+\lambda(\hat{i})+\mu(\hat{i}+2\hat{j}-3\hat{k})   in scalar product form is  r. (3\hat{i}+2\hat{k})=\alpha , then

 \alpha= ......


A) 2

B) 3

C) 1

D) 0



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