In the solution of the following set of linear equations by Gauss-elimination using partial pivoting $$$5x+y+2z=34,$$$

A square matrix $$B$$ is symmetric if ____

For a scalar function $$f(x,y,z)=$$ $${x^2} + 3{y^2} + 2{z^2},\,\,$$ the gradient at the point $$P(1,2,-1)$$ is

For a scalar function $$\,f\left( {x,y,z} \right) = {x^2} + 3{y^2} + 2{z^2},\,\,$$ the directional derivative at the poi

The standard normal probability function can be approximated as $$$F\left( {{X_N}} \right) = {1 \over {1 + \exp \left(

Solution of the differential equation $$3y{{dy} \over {dx}} + 2x = 0$$ represents a family of

The area under the curve shown between $$x=1$$ and $$x=5$$ is to be evaluated using the trapezoidal rule. The following

The value of the integral $$\int\limits_C {{{\cos \left( {2\pi z} \right)} \over {\left( {2z - 1} \right)\left( {z - 3}

The analytical function has singularities at, where $$f(z) = {{z - 1} \over {{z^2} + 1}}$$

Laplace transform of $$f\left( x \right) = \cos \,h\left( {ax} \right)$$ is

In quadrantal bearing system, bearing of a line varies from

An agricultural land of 437ha is to be irrigated for a particular crop. The base period of the crop is 90 days and the t

For limit state of collapse, the partial safety factors recommended by IS 456:2000 for estimating the design strength of

A rectangular concrete beam of width $$120$$ $$mm$$ and depth $$200$$ $$mm$$ is prestressed by pretensioning to a force

A 12 mm thick plate is connected to two 8 mm plates, on either side through a 16 mm diameter power driven field rivet as

Consider the following statements for a compression member $${\rm I}.\,\,\,\,$$ The elastic critical stress in compress

The square root of the ratio of moment of inertia of the cross-section to its cross-sectional area is called

Consider the following statements: $$1.$$ On a principal plane, only normal stress acts $$2.$$ On a principal plane, bot

Match List- $${\rm I}$$ (Shear Force Diagrams) beams with List- $${\rm II}$$ (Diagram of beams with supports and loading

The point within the cross sectional plane of a beam through which the resultant of the external loading on the beam has

A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and a wall thickness of $$25$$ $$mm.$$ The allowable she

A vertical rod $$PQ$$ of length $$L$$ is fixed at its top end $$P$$ and has a flange fixed to the bottom end $$Q.A$$ wei

The degree of static indeterminacy of a rigidly jointed frame in a horizontal plane and subjected to vertical loads only

In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called

The value of lateral friction or side friction used in the design of horizontal curve as per India Roads Congress guidel