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## GATE CE 1997

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

If $$A$$ and $$B$$ are two matrices and $$AB$$ exists then $$BA$$ exists,
Inverse of matrix $$\left[ {\matrix{ 0 &amp; 1 &amp; 0 \cr 0 &amp; 0 &am... If the determinant of the matrix$$\left[ {\matrix{ 1 &amp; 3 &amp; 2 \cr ...
If $$y = \left| x \right|$$ for $$x &lt; 0$$ and $$y=x$$ for $$x \ge 0$$ then
If $$\varphi \left( x \right) = \int\limits_0^{{x^2}} {\sqrt t \,dt\,}$$ then \$...
For the differential equation $$f\left( {x,y} \right){{dy} \over {dx}} + g\left(... The differential equation$${{dy} \over {dx}} + py = Q,$$is a linear equation ...$${e^z}$$is a periodic with a period of Alkalinity of water can be defined correctly in one of the following ways MPN index is measure of one of the following: If the porosity of a soil sample is 20%, the void ratio is Hyetograph is a graph representing Lysimeter and Tensiometer are used to measure respectively, one of the following... The cylinder strength of the concrete is less than the cube strength because of The permissible tensile stress in concrete made of M 25 concrete is A hall is covered by a beam and slab system with beams placed at$$3.0m$$c... A simply supported beam of a beam and slab system, rests on a support of width ... Design a square$$R.C$$column to resist an axial load of$$400kN$$due to ... A prestressed concrete rectangular beam of size$$300\,\,mm \times 900\,\,mm$$i... Factor of safety adopted by IS: 800-1984 while arriving at the permissible stres... Maximum size of a fillet weld for a plate of square edge is A compound steel column consisting of$$2ISHB400$$placed at$$320$$... Allowable average shear stress in an unstiffened web for beams made of steel of ... A small element at the critical section of component is in a state of stress wi... A cantilever beam of span$$'L'$$is loaded with a concentrated load$$'P'$$at ... The degree of Kinematic Indeterminacy of the rigid frame with clamped ends at$$...
For the frame shown in the Fig. the maximum bending moment in the column is, <i...
A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity ...
The force in the member $$DE$$ of the truss shown in the fig. is, <img class="q...
The order for the flexibility matrix for a structure is,
The value of camber recommended for CC roads in area of heavy rainfall is

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