GATE CE 2011
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GATE CE

What should be the value of $$\lambda$$ such that the function defined below is continuous at $$x = {\pi \over 2}$$? $View Question What is the value of the definite integral? $$\,\,\int\limits_0^a {{{\sqrt x } \over {\sqrt x + \sqrt {a - x} }}dx\,\,} View Question If$$\overrightarrow a $$and$$\overrightarrow b $$are two arbitrary vectors with magnitudes$$a$$and$$b$$respectiv View Question There are two containers with one containing$$4$$red and$$3$$green balls and the other containing$$3$$blue balls a View Question The solution of the differential equation$${{dy} \over {dx}} + {y \over x} = x$$with the condition that$$y=1$$at$$ View Question The square root of a number $$N$$ is to be obtained by applying the Newton $$-$$ Raphson iteration to the equation $$\,{ View Question Given two continuous time signals$$x\left( t \right) = {e^{ - t}}$$and$$y\left( t \right) = {e^{ - 2t}}$$which exist View Question If$$F\left( s \right) = L\left\{ {f\left( t \right)} \right\} = {{2\left( {s + 1} \right)} \over {{s^2} + 4s + 7}}$$th View Question For an analytic function$$f\left( {x + i\,y} \right) = u\left( {x,y} \right) + i\,v\left( {x,y} \right),\,u$$is given View Question For a body completely submerged in a fluid, the centre of gravity (G) and centre of Buoyancy (O) are known. The body is View Question The cross-section of a thermo-mechanically treated (TMT) reinforcing bar has View Question Consider a reinforcing bar embedded in concrete. In a marine environment this bar undergoes uniform corrosion, which lea View Question Consider two$$RCC$$beams,$$P$$and$$Q$$, each having the section$$400mm \times \,\,750\,\,mm$$(effective View Question Consider a bar of diameter$$'D'$$embedded in a large concrete block as shown in the adjoining figure, with a pull out View Question For the fillet weld of size$$'S'$$shown in the adjoining figure the effective throat thickness is View Question The adjoining figure shows a schematic representation of a steel plate girder to be used as a simply supported beam wit View Question Consider a simply supported beam with a uniformly distributed load having a neutral axis$$(NA)$$as shown. For points View Question A disc of radius$$'r'$$has a hole of radius$$'r/2'$$cut-out as shown. The centroid of the remaining disc (shaded por View Question For the cantilever bracket,$$PQRS,$$loaded as shown in the adjoining figure$$(PQ=RS=L,$$and$$QR=2L),$$which of th View Question The value of$$W$\$ that results in the collapses of the beam shown in the adjoining figure and having a plastic moment c
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