GATE CE 2009
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## GATE CE

A square matrix $$B$$ is symmetric if ____
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In the solution of the following set of linear equations by Gauss-elimination using partial pivoting $$5x+y+2z=34,$$\$
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For a scalar function $$f(x,y,z)=$$ $${x^2} + 3{y^2} + 2{z^2},\,\,$$ the gradient at the point $$P(1,2,-1)$$ is
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For a scalar function $$\,f\left( {x,y,z} \right) = {x^2} + 3{y^2} + 2{z^2},\,\,$$ the directional derivative at the poi
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The standard normal probability function can be approximated as $$F\left( {{X_N}} \right) = {1 \over {1 + \exp \left( View Question Solution of the differential equation$$3y{{dy} \over {dx}} + 2x = 0$$represents a family of View Question The area under the curve shown between$$x=1$$and$$x=5$$is to be evaluated using the trapezoidal rule. The following View Question The value of the integral$$\int\limits_C {{{\cos \left( {2\pi z} \right)} \over {\left( {2z - 1} \right)\left( {z - 3}
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The analytical function has singularities at, where $$f(z) = {{z - 1} \over {{z^2} + 1}}$$
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Laplace transform of $$f\left( x \right) = \cos \,h\left( {ax} \right)$$ is
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In quadrantal bearing system, bearing of a line varies from
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An agricultural land of 437ha is to be irrigated for a particular crop. The base period of the crop is 90 days and the t
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For limit state of collapse, the partial safety factors recommended by IS 456:2000 for estimating the design strength of
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A rectangular concrete beam of width $$120$$ $$mm$$ and depth $$200$$ $$mm$$ is prestressed by pretensioning to a force
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A 12 mm thick plate is connected to two 8 mm plates, on either side through a 16 mm diameter power driven field rivet as
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Consider the following statements for a compression member $${\rm I}.\,\,\,\,$$ The elastic critical stress in compress
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The square root of the ratio of moment of inertia of the cross-section to its cross-sectional area is called
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Consider the following statements: $$1.$$ On a principal plane, only normal stress acts $$2.$$ On a principal plane, bot
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Match List- $${\rm I}$$ (Shear Force Diagrams) beams with List- $${\rm II}$$ (Diagram of beams with supports and loading
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The point within the cross sectional plane of a beam through which the resultant of the external loading on the beam has
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A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and a wall thickness of $$25$$ $$mm.$$ The allowable she
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A vertical rod $$PQ$$ of length $$L$$ is fixed at its top end $$P$$ and has a flange fixed to the bottom end $$Q.A$$ wei
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The degree of static indeterminacy of a rigidly jointed frame in a horizontal plane and subjected to vertical loads only
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In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called
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The value of lateral friction or side friction used in the design of horizontal curve as per India Roads Congress guidel
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