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
Fluid Mechanics and Hydraulic Machines
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12