GATE CE 1999

## GATE CE

If $$A$$ is any $$nxn$$ matrix and $$k$$ is a scalar then $$\left| {kA} \right| = \alpha \left| A \right|$$ where $$\alp

View Question The equation $$\left[ {\matrix{
2 & 1 & 1 \cr
1 & 1 & { - 1} \cr
y & {{x^2}} & x \

View Question The number of terms in the expansion of general determinant of order $$n$$ is

View Question The function $$f\left( x \right) = {e^x}$$ is _________.

View Question Number of inflection points for the curve $$\,\,\,y = x + 2{x^4}\,\,\,\,$$ is_______.

View Question Limit of the function, $$\mathop {Lim}\limits_{n \to \infty } {n \over {\sqrt {{n^2} + n} }}$$ is _______.

View Question For the function $$\phi = a{x^2}y - {y^3}$$ to represent the velocity potential of an ideal fluid, $${\nabla ^2}\,\,\p

View Question If $$c$$ is a constant, then the solution of $${{dy} \over {dx}} = 1 + {y^2}$$ is

View Question The Laplace transform of the function
$$\eqalign{
& f\left( t \right) = k,\,0 < t < c \cr
& \,\,\,\

View Question Temporary hardness in water is caused by the presence of

View Question Principle involved in the relationship between submerged unit weight and saturated weight of a soil is based on

View Question The minimum area of tension reinforcement in a beam shall be greater than

View Question Maximum strain at the level of compression steel for a rectangular section having effective cover to compression steel

View Question The width and effective depth of a reinforced concrete beam is $$250$$ $$mm$$ and $$440$$ $$mm$$ respectively. The beam

View Question In reinforced concrete, pedestal is defined as compression member, whose effective length does not exceed its dimension

View Question A beam with a rectangular cross section of size $$250$$ $$mm$$ wide and $$350$$ $$mm$$ deep is prestressed by a force of

View Question In section, shear centre is a point through which, if the resultant load passes, the section will not be subjected to an

View Question Two steel plates each of width $$150$$ $$mm$$ and thickness $$10$$ $$mm$$ are connected with three $$20$$ $$mm$$ diamete

View Question The problem of lateral buckling can arise only in those steel beams which have

View Question A steel beam supporting loads from the floors slab as well as from wall is termed as

View Question Two wheels, placed at a distance of $$2.5$$ $$m$$ apart, with a load of $$200\,\,kN$$ on each of them are moving on a si

View Question In a section, shear center is a point through which, if the resultant load passes, the section will not be subjected to

View Question For a fixed beam with span $$L,$$ having plastic moment capacity of $${{M_p}}$$, the ultimate central concentrated load

View Question The shape factor of the section shown in fig. is

View Question The total length (in km) of the existing National Highways in India is in the range of

View Question The reaction time for calculating stopping sight distance may be assumed as

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