VIT Engineering VIT Engineering Solved Paper-2014

  • question_answer
    If the area of the triangle on the complex plane formed by the points z, z + iz and iz is 200, then the value of 3 |z| must be equal to

    A) 20                                          

    B) 40

    C)  60                                         

    D) 80

    Correct Answer: C

    Solution :

    Let  z = x + iy, then \[\log \frac{0.1}{0.8}=\left( n-1 \right)\log \frac{50}{400}\] and  \[\log \frac{1}{8}=\left( n-1 \right)\log \frac{1}{8}\] Then, the area of the triangle formed by these lines is             \[0.90=\left( n-1 \right)0.90\] Applying  \[\Rightarrow \]          \[2Na+2{{H}_{2}}O\to 2NaOH+{{H}_{2}}\uparrow \] \[2NaOH+C{{O}_{2}}\to N{{a}_{2}}C{{O}_{3}}+{{H}_{2}}O\]   \[N{{a}_{2}}C{{O}_{3}}+2HCl\to 2NaCl+{{H}_{2}}O+C{{O}_{2}}\]                        (given)              \[{{p}^{5+}}.\] \[8Al\to 8A{{l}^{3+}}+24{{e}^{-}}\]       \[9F{{e}^{8/3+}}+24{{e}^{-}}\to 9Fe\]


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