1
GATE CE 2011
MCQ (Single Correct Answer)
+1
-0.3
What should be the value of $$\lambda$$ such that the function defined below is continuous at $$x = {\pi \over 2}$$?
$$f\left( x \right) = \left\{ {\matrix{ {{{\lambda \,\cos x} \over {{\pi \over 2} - x}},} & {if\,\,x \ne {\pi \over 2}} \cr {1\,\,\,\,\,\,\,\,\,\,,} & {if\,\,x = {\pi \over 2}} \cr } } \right.$$
A
$$0$$
B
$${2\pi }$$
C
$$1$$
D
$${{\pi \over 2}}$$
2
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The $$\mathop {Lim}\limits_{x \to 0} {{\sin \left( {{2 \over 3}x} \right)} \over x}\,\,\,$$ is
A
$${{2 \over 3}}$$
B
$$1$$
C
$${{3 \over 2}}$$
D
$$\propto$$
3
GATE CE 2004
MCQ (Single Correct Answer)
+1
-0.3
The value of the function, $$f\left( x \right) = \mathop {Lim}\limits_{x \to 0} {{{x^3} + {x^2}} \over {2{x^3} - 7{x^2}}}\,\,\,$$ is
A
$$0$$
B
$${-1 \over 7}$$
C
$${1 \over 7}$$
D
$$\infty$$
4
GATE CE 2002
MCQ (Single Correct Answer)
+1
-0.3
The following function has local minima at which value of $$x,$$ $$f\left( x \right) = x\sqrt {5 - {x^2}}$$
A
$${{ - \sqrt 5 } \over 2}$$
B
$${\sqrt 5 }$$
C
$$\sqrt {{5 \over 2}}$$
D
$$-\sqrt {{5 \over 2}}$$
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Environmental Engineering
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12