GATE CE 2009

## GATE CE

A square matrix $$B$$ is symmetric if ____

View Question In the solution of the following set of linear equations by Gauss-elimination using partial pivoting
$$$5x+y+2z=34,$$$

View Question 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

View Question For a scalar function $$\,f\left( {x,y,z} \right) = {x^2} + 3{y^2} + 2{z^2},\,\,$$ the directional derivative at the poi

View Question 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}

View Question The analytical function has singularities at, where $$f(z) = {{z - 1} \over {{z^2} + 1}}$$

View Question Laplace transform of $$f\left( x \right) = \cos \,h\left( {ax} \right)$$ is

View Question In quadrantal bearing system, bearing of a line varies from

View Question 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

View Question For limit state of collapse, the partial safety factors recommended by
IS 456:2000 for estimating the design strength of

View Question A rectangular concrete beam of width $$120$$ $$mm$$ and depth $$200$$ $$mm$$ is prestressed by pretensioning to a force

View Question 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

View Question Consider the following statements for a compression member
$${\rm I}.\,\,\,\,$$ The elastic critical stress in compress

View Question The square root of the ratio of moment of inertia of the cross-section to its cross-sectional area is called

View Question Consider the following statements:
$$1.$$ On a principal plane, only normal stress acts
$$2.$$ On a principal plane, bot

View Question Match List- $${\rm I}$$ (Shear Force Diagrams) beams with List- $${\rm II}$$ (Diagram of beams with supports and loading

View Question The point within the cross sectional plane of a beam through which the resultant of the external loading on the beam has

View Question A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and a wall thickness of $$25$$ $$mm.$$ The allowable she

View Question 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

View Question The degree of static indeterminacy of a rigidly jointed frame in a horizontal plane
and subjected to vertical loads only

View Question In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called

View Question The value of lateral friction or side friction used in the design of horizontal curve
as per India Roads Congress guidel

View Question