GATE CE 2012

## GATE CE

The eigen values of matrix $$\left[ {\matrix{
9 & 5 \cr
5 & 8 \cr
} } \right]$$ are

View Question The infinite series $$1 + x + {{{x^2}} \over {2!}} + {{{x^3}} \over {3!}} + {{{x^4}} \over {4!}} + ........$$ correspond

View Question For the parallelogram $$OPQR$$ shown in the sketch. $$\,\overrightarrow {OP} = a\widehat i + b\widehat j$$ and $$\,\o

View Question Is an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one neg

View Question The annual precipitation data of a city is normally distributed with mean and standard deviation as $$1000$$mm and $$200

View Question The solution of the ordinary differential equation $${{dy} \over {dx}} + 2y = 0$$ for the boundary condition, $$y=5$$ at

View Question The estimate of $$\int\limits_{0.5}^{1.5} {{{dx} \over x}} \,\,$$ obtained using Simpson's rule with three-point functio

View Question A water sample has a pH of 9.25. The concentration of hydroxyl ions in the water
sample is

View Question If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on
all faces of the cu

View Question The ratio of actual evapo-transpiration to potential evapo-transpiration is in the range

View Question Wheat crop requires 55 cm of water during 120 days of base period. The total rainfall during this period is 100 mm. Assu

View Question As per $$IS$$ $$456:2000,$$ in the Limit State Design of a flexural member, the strain in reinforcing bars under tension

View Question The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. $$A$$ portion of the slab is consi

View Question The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. $$A$$ portion of the slab is consi

View Question Which one of the following is categorized as a long-term loss of prestress in a prestressed concrete member?

View Question A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured f

View Question In a steel plate with bolted connections, the rupture of the net section is a mode of failure under

View Question Two plates are connected by fillet welds of size $$10$$ $$mm$$ and subjected to tension, as shown in the sketch. The thi

View Question If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cu

View Question The following statements are related to bending of beams:
$${\rm I}.$$ The slope of the bending moment diagram is equal

View Question The Poisson's ratio is defined as

View Question A simply supported beam is subjected to a uniformly distributed load of intensity $$w$$ per unit length. On half of the

View Question The ratio of the theoretical critical buckling load for a column with fixed ends to that of another column with the same

View Question The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $$P$$ and a m

View Question A symmetric frame $$PQR$$ consists of two inclined members $$PQ$$ and $$QR$$, connected at $$‘Q’$$ with a rigid joint, a

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