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GATE IN 2005

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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Identity which one of the following is an eigen vectors of the matrix $$A = \lef...
Let $$A$$ be $$3 \times 3$$ matrix with rank $$2.$$ Then $$AX=O$$ has
The value of the integral $$\int\limits_{ - 1}^1 {{1 \over {{x^2}}}dx} \,\,\,$$ ...
$$f = {a_0}\,{x^n} + {a_1}\,{x^{n - 1}}\,y + - - + \,{a_{n - 1}}\,x\,{y^{n - ...
If a vector $$\overrightarrow R \left( t \right)$$ has a constant magnitude then...
A scalar field is given by $$f = {x^{2/3}} + {y^{2/3}},$$ where $$x$$ and $$y$$ ...
The probability that there are $$53$$ Sundays in a randomly chosen leap year is ...
The general solution of the differential equation $$\left( {{D^2} - 4D + 4} \rig...
Consider the circle $$\left| {z\, - 5\, - 5i} \right|\, = \,2$$ in the complex n...
Let $${z^3}\, = \,\overline z $$, where z is a complex number not equal to zero....

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