GATE CE 2017 Set 2 | GATE CE Year Wise Previous Years Questions

GATE CE 2017 Set 2

MCQ (Single Correct Answer)

-0.6

If $$A = \left[ {\matrix{ 1 & 5 \cr 6 & 2 \cr } } \right]\,\,and\,\,B = \left[ {\matrix{ 3 & 7 \cr 8 & 4 \cr } } \right]A{B^T}$$ is equal to

$$\left[ {\matrix{ {38} & {28} \cr {32} & {56} \cr } } \right]$$

$$\left[ {\matrix{ 3 & {40} \cr {42} & 8 \cr } } \right]$$

$$\left[ {\matrix{ {43} & {27} \cr {34} & {50} \cr } } \right]$$

$$\left[ {\matrix{ {38} & {32} \cr {28} & {56} \cr } } \right]$$

GATE CE 2017 Set 2

MCQ (Single Correct Answer)

-0.3

Let $$\,\,W = f\left( {x,y} \right),\,\,$$ where $$x$$ and $$y$$ are functions of $$t.$$ Then, according to the chain rule, $${{dw} \over {dt}}$$ is equal to

$${{dw} \over {dx}}{{dx} \over {dt}} + {{dw} \over {dy}}{{dt} \over {dt}}$$

$${{\partial w} \over {\partial x}}{{\partial x} \over {\partial t}} + {{\partial w} \over {\partial y}}{{\partial y} \over {\partial t}}$$

$${{\partial w} \over {\partial x}}{{dx} \over {dt}} + {{\partial w} \over {\partial y}}{{dy} \over {dt}}$$

$${{dw} \over {dx}}{{\partial x} \over {\partial t}} + {{dw} \over {dy}}{{\partial y} \over {\partial t}}$$

GATE CE 2017 Set 2

MCQ (Single Correct Answer)

-0.6

The tangent to the curve represented by $$y=x$$ $$ln$$ $$x$$ is required to have $${45^ \circ }$$ inclination with the $$x-$$axis. The coordinates of the tangent point would be

$$(1, 0)$$

$$(0,1)$$

$$(1,1)$$

$$\left( {\sqrt {2,} \sqrt 2 } \right)$$

GATE CE 2017 Set 2

MCQ (Single Correct Answer)

-0.6

Consider the following definite integral $$${\rm I} = \int\limits_0^1 {{{{{\left( {{{\sin }^{ - 1}}x} \right)}^2}} \over {\sqrt {1 - {x^2}} }}dx} $$$
The value of the integral is

$${{{\pi ^3}} \over {24}}$$

$${{{\pi ^3}} \over {12}}$$

$${{{\pi ^3}} \over {48}}$$

$${{{\pi ^3}} \over {64}}$$

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Total Questions

Construction Material and Management

Engineering Mathematics

Environmental Engineering

Fluid Mechanics and Hydraulic Machines

Hydrology

Irrigation

Reinforced Cement Concrete

Steel Structures

Strength of Materials Or Solid Mechanics

Structural Analysis

Transportation Engineering

GATE CE Papers

2018