GATE CE 2005
View Questions

## GATE CE

Consider the following system of equations in three real variable $${x_1},$$ $${x_2}$$ and $${x_3}:$$ $$2{x_1} - {x_2} View Question Consider a non-homogeneous system of linear equations represents mathematically an over determined system. Such a system View Question Consider the matrices$$\,{X_{4x3,}}\,\,{Y_{4x3}}\,\,{P_{2x3}}.$$The order of$$\,{\left[ {P{{\left( {{X^T}Y} \ri
View Question
Consider the system of equations, $${A_{nxn}}\,\,{X_{nx1}}\,\, = \lambda \,{X_{nx1}}$$ where $$\lambda$$ is a scalar. L
View Question
Value of the integral $$\,\,\oint {xydy - {y^2}dx,\,\,}$$ where, $$c$$ is the square cut from the first quadrant by the
View Question
The line integral $$\int {\,\,V.dr\,\,}$$ of the vector function $$V\left( r \right) = 2xyz\widehat i + {x^2}z\widehat View Question Transformation to linear form by substituting$$v = {y^{1 - n}}$$of the equation$${{dy} \over {dt}} + p\left( t \righ
View Question
The solution $${{{d^2}y} \over {d{x^2}}} + 2{{dy} \over {dx}} + 17y = 0;$$ $$y\left( 0 \right) = 1,{\left( {{{d\,y} \ov View Question Which one of the following is not true for the complex number z1 and z2 ? View Question Consider likely applicability of Cauchy's Integral theorem to evaluate the following integral counterclockwise around t View Question Given$$a&gt;0,$$we wish to calculate it reciprocal value$${1 \over a}$$by using Newton - Raphson method for$$f(x)=0
View Question
Given $$a&gt;0,$$ we wish to calculate its reciprocal value $${1 \over a}$$ by using Newton - Raphson method for $$f(x)= View Question The Laplace transform of a function$$f(t)$$is$$$F\left( s \right) = {{5{s^2} + 23s + 6} \over {s\left( {{s^2} + 2s + View Question Laplace transform of $$f\left( t \right) = \cos \left( {pt + q} \right)$$ is View Question 1 TCU is equivalent to color produced by View Question If tomato juice is having a pH of 4.1, the hydrogen ion concentration will be View Question The partial factor of safety for concrete as per IS: 456-2000 is View Question The flexural strength of M30 concrete as per IS: 456-2000 is View Question A rectangular column section of $$250\,\,mm \times 400\,mm$$ is reinforced with five steel bars of grade $$Fe$$ $$500,$$ View Question $$IS:$$ $$1343 – 1980$$ limits the minimum characteristic strength of pre-stressed concrete for post tensioned works and View Question As per Indian standard code of practice for prestressed concrete $$(IS:1343-1980)$$ the minimum grades of concrete to be View Question A concrete beam of rectangular cross section of $$200\,\,mm \times 400\,\,mm$$ is pre-stressed with a force $$400$$ $$kN View Question A fillet-welded joint of$$6mm$$size is shown in the figure. The welded surfaces meet at$$60$$-$$90$$degree an View Question The permissible stress in axial tension in steel member on the net effective area of the section shall not exceed the f View Question Which of the following is NOT correct for steel sections as per$$IS:800-1984$$? View Question An unstiffened web$${\rm I}$$section is fabricated from a$$10mm$$thick plate by fillet welding as shown in the View Question The symmetry of stress tensor at a point in the body under equilibrium is obtained from View Question The components of strain tensor at a point in the plane strain case can be obtained by measuring longitudinal strain in View Question The bending Moment diagram for a beam is given below: The shear force at sections$$aa'$$and$$bb'$$respectively ar View Question If a beam of rectangular cross-section is subjected to a vertical shear force$$V,$$the shear force carried by the upp View Question A circular shaft shown in the figure is subject to torsion$$T$$at two points$$A$$and$$B.$$The torsional rigidity o View Question The maximum tensile stress at the section$$X$$-$$X$$shown in the figure below is View Question Considering beam as axially rigid, the degree of freedom of a plane frame shown below is View Question Match List -$${\rm I}$$with List -$${\rm II}$$and select the correct answer using the codes given below the lists : View Question A truss is shown in the figure. Members are to equal cross section$$A$$and same modulus of elasticity$$E.A$$ver View Question A truss is shown in the figure. Members are to equal cross section$$A$$and same modulus of elasticity$$E.A$$ver View Question All members of the frame shown below have the same flexural rigidity$$EI$$and length$$L.$$If a moment$$M$$is appli View Question A cantilever beam of length$$l,$$width$$b$$and depth$$d$\$ is loaded with a concentrated vertical load at the tip. I
View Question
Pradhan Mantri Gram Sadak Yojana (PMGSY), launched in the year 2000 aims to provide rural connectivity with all weather
View Question
EXAM MAP
Medical
NEET