Engineering Mathematics GATE-2001

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Q 1: The value of the following determinant

\begin{bmatrix}1&0&0&0&0\\-2&2&0&0&0\\3&5&3&0&0\\-1&4&7&4&0\\-50&-6&2&1&1\end{bmatrix}




Ans is )

Explanation:

Q 2: The value of (1+i)^8 , where i=\sqrt{-1} , is





Ans is )

Explanation:

Q 3: The function f(x,y)=x^2+y^2-xy-x-y+5  has the





Ans is )

Explanation:

Q 4: A fair die is rolled four times. Find the probability that six shows up twice.





Ans is )

Explanation: