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## GATE CE 2009

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE CE

A square matrix $$B$$ is symmetric if ____
In the solution of the following set of linear equations by Gauss-elimination us...
For a scalar function $$f(x,y,z)=$$ $${x^2} + 3{y^2} + 2{z^2},\,\,$$ the gradien...
For a scalar function $$\,f\left( {x,y,z} \right) = {x^2} + 3{y^2} + 2{z^2},\,\,... The standard normal probability function can be approximated as$$\$F\left( {{X_...
Solution of the differential equation $$3y{{dy} \over {dx}} + 2x = 0$$ represent...
The area under the curve shown between $$x=1$$ and $$x=5$$ is to be evaluated us...
The value of the integral $$\int\limits_C {{{\cos \left( {2\pi z} \right)} \over... The analytical function has singularities at, where$$f(z) = {{z - 1} \over {{z^...
Laplace transform of $$f\left( x \right) = \cos \,h\left( {ax} \right)$$ is
In quadrantal bearing system, bearing of a line varies from
An agricultural land of 437ha is to be irrigated for a particular crop. The base...
For limit state of collapse, the partial safety factors recommended by IS 456:20...
A rectangular concrete beam of width $$120$$ $$mm$$ and depth $$200$$ $$mm$$ is ...
A 12 mm thick plate is connected to two 8 mm plates, on either side through a 16...
Consider the following statements for a compression member <p>$${\rm I}.\,\,\,\... The square root of the ratio of moment of inertia of the cross-section to its cr... Consider the following statements: <br>$$1.$$On a principal plane, only normal ... Match <b>List-$${\rm I}$$</b> (Shear Force Diagrams) beams with <b>List-$${\rm...
The point within the cross sectional plane of a beam through which the resultant...
A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and a wall thick...
A vertical rod $$PQ$$ of length $$L$$ is fixed at its top end $$P$$ and has a fl...
The degree of static indeterminacy of a rigidly jointed frame in a horizontal pl...
In the theory of plastic bending of beams, the ratio of plastic moment to yield ...
The value of lateral friction or side friction used in the design of horizontal ...

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