GATE CE 1997
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## GATE CE

If $$A$$ and $$B$$ are two matrices and $$AB$$ exists then $$BA$$ exists,
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Inverse of matrix $$\left[ {\matrix{ 0 &amp; 1 &amp; 0 \cr 0 &amp; 0 &amp; 1 \cr 1 &amp; 0 &amp; 0 \cr View Question If the determinant of the matrix$$\left[ {\matrix{ 1 &amp; 3 &amp; 2 \cr 0 &amp; 5 &amp; { - 6} \cr 2 &amp
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If $$y = \left| x \right|$$ for $$x &lt; 0$$ and $$y=x$$ for $$x \ge 0$$ then
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If $$\varphi \left( x \right) = \int\limits_0^{{x^2}} {\sqrt t \,dt\,}$$ then $${{d\varphi } \over {dx}} = \_\_\_\_\_\_ View Question For the differential equation$$f\left( {x,y} \right){{dy} \over {dx}} + g\left( {x,y} \right) = 0\,\,$$to be exact is View Question The differential equation$${{dy} \over {dx}} + py = Q,$$is a linear equation of first order only if, View Question$${e^z}$$is a periodic with a period of View Question Alkalinity of water can be defined correctly in one of the following ways View Question MPN index is measure of one of the following: View Question If the porosity of a soil sample is 20%, the void ratio is View Question Hyetograph is a graph representing View Question Lysimeter and Tensiometer are used to measure respectively, one of the following groups of quantities: View Question The permissible tensile stress in concrete made of M 25 concrete is View Question The cylinder strength of the concrete is less than the cube strength because of View Question A hall is covered by a beam and slab system with beams placed at$$3.0m$$center. The effective span of the beam is View Question A simply supported beam of a beam and slab system, rests on a support of width$$450mm.$$The clear span of the bea View Question Design a square$$R.C$$column to resist an axial load of$$400kN$$due to dead load and$$240kN$$due to live View Question A prestressed concrete rectangular beam of size$$300\,\,mm \times 900\,\,mm$$is prestressed with an intial prestressin View Question Factor of safety adopted by IS: 800-1984 while arriving at the permissible stress in axial compression is View Question Maximum size of a fillet weld for a plate of square edge is View Question A compound steel column consisting of$$2ISHB400$$placed at$$320mm$$centers, carries a total axial loa View Question Allowable average shear stress in an unstiffened web for beams made of steel of grade$$250\,\,N/m{m^2}$$is View Question A small element at the critical section of component is in a state of stress with the two principal stresses being$$36
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A cantilever beam of span $$'L'$$ is loaded with a concentrated load $$'P'$$ at the free end. Deflection of the beam at
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The degree of Kinematic Indeterminacy of the rigid frame with clamped ends at $$A$$ and $$D$$ shown in the fig. is
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For the frame shown in the Fig. the maximum bending moment in the column is,
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A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity $$w$$/unit length, all through the span.
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The force in the member $$DE$$ of the truss shown in the fig. is,
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The order for the flexibility matrix for a structure is,
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The value of camber recommended for CC roads in area of heavy rainfall is
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