1
GATE CE 1994
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\varepsilon $$ in the mean value theoram of $$f\left( b \right) - f\left( a \right) = \left( {b - a} \right)\,\,f'\left( \varepsilon \right)$$ for $$f\left( x \right) = A{x^2} + Bx + C$$ in $$(a, b)$$ is
A
$$b + a$$
B
$$b - a$$
C
$${{b + a} \over 2}$$
D
$${{b - a} \over 2}$$
2
GATE CE 1994
MCQ (Single Correct Answer)
+1
-0.3
The necessary & sufficient condition for the differential equation of the form $$\,\,M\left( {x,y} \right)dx + N\left( {x,y} \right)dy = 0\,\,$$ to be exact is
A
$$M=N$$
B
$${{\partial M} \over {\partial x}} = {{\partial N} \over {\partial y}}$$
C
$${{\partial M} \over {\partial y}} = {{\partial N} \over {\partial x}}$$
D
$${{{\partial ^2}M} \over {\partial {x^2}}} = {{{\partial ^2}N} \over {\partial {y^2}}}$$
3
GATE CE 1994
MCQ (Single Correct Answer)
+2
-0.6
The differential equation $${{{d^4}y} \over {d{x^4}}} + P{{{d^2}y} \over {d{x^2}}} + ky = 0\,\,$$ is
A
Linear of fourth order
B
Non - Linear of fourth order
C
Non - Homogeneous
D
Linear and fourth degree
4
GATE CE 1994
Numerical
+1
-0
The void ratio of a soil sample is 1. The corresponding porosity of the sample is _______.
Your input ____
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12