GATE IN 2005
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## GATE IN

Identity which one of the following is an eigen vectors of the matrix $$A = \left[ {\matrix{ 1 &amp; 0 \cr { - 1 View Question Let$$A$$be$$3 \times 3$$matrix with rank$$2.$$Then$$AX=O$$has View Question The value of the integral$$\int\limits_{ - 1}^1 {{1 \over {{x^2}}}dx} \,\,\,$$is View Question$$f = {a_0}\,{x^n} + {a_1}\,{x^{n - 1}}\,y + - - + \,{a_{n - 1}}\,x\,{y^{n - 1}} + {a_n}\,{y^n}$$where$$\,\,{a_i}\
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If a vector $$\overrightarrow R \left( t \right)$$ has a constant magnitude then
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A scalar field is given by $$f = {x^{2/3}} + {y^{2/3}},$$ where $$x$$ and $$y$$ are the Cartesian coordinates. The deriv
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The probability that there are $$53$$ Sundays in a randomly chosen leap year is
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The general solution of the differential equation $$\left( {{D^2} - 4D + 4} \right)y = 0$$ is of the form (given $$D = View Question Consider the circle$$\left| {z\, - 5\, - 5i} \right|\, = \,2$$in the complex number plane (x, y) with z = x + iy. The View Question Let$${z^3}\, = \,\overline z , where z is a complex number not equal to zero. Then z is a solution of
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