Processing math: 23%




<<789101112>>
46.

If A+B+C =270°  , then

cos2A+cos2B+cos2C+4sinAsinBsinC=


A) 3

B) 2

C) 1

D) -1



47.

If  2x+7(x2+4)(x2+9)(x2+16)=Ax+1x2+4+Bx+mx2+9+Cx+nx2+16  , then 

1A+1B+1C=........


A) 0

B) 27

C) 1052

D) 1092



48.

If \alpha  and \beta  are the roots of the equation

x^{2}-2x+4=0  , then \alpha^{12}+\beta^{12}=


A) 2^{12}

B) 2^{10}

C) 2^{13}

D) -2^{13}



49.

If the point \left(\frac{k-1}{k},\frac{k-2}{k}\right) lies on the  locus of z satisfying  the inequality  |\frac{z+3i}{3z+i}|  <1, then the interval in which k lies is 


A) (-\infty ,2) \cup (3, \infty)

B) [2,3]

C) [1,5]

D) (-\infty ,1) \cup (5, \infty)



50.

Consider  the following system of equations in matrix form 

\begin{bmatrix}1  \\2 \\\lambda \end{bmatrix}  (1    2    \lambda) \begin{bmatrix}x  \\y \\z\end{bmatrix}  =0

Then which one of the following statements  is ture?


A) \forall \lambda\epsilon(-\infty,\infty) , the given system has non trivial solution

B) \forall \lambda\epsilon(-\infty,\infty) , the given system has only trivial solution

C) For \lambda\neq0 , the given system does not have any solution

D) For \lambda =0 , the given system is inconsistent



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