1
GATE CE 2017 Set 2
MCQ (Single Correct Answer)
+2
-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
A
$$(1, 0)$$
B
$$(0,1)$$
C
$$(1,1)$$
D
$$\left( {\sqrt {2,} \sqrt 2 } \right)$$
2
GATE CE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The expression $$\mathop {Lim}\limits_{a \to 0} \,{{{x^a} - 1} \over a}\,\,$$ is equal to
A
$$\log \,x$$
B
$$0$$
C
$$x$$ $$log$$ $$x$$
D
$$\infty $$
3
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
What is the value of the definite integral? $$\,\,\int\limits_0^a {{{\sqrt x } \over {\sqrt x + \sqrt {a - x} }}dx\,\,} $$?
A
$$0$$
B
$${a \over 2}$$
C
$$a$$
D
$$2a$$
4
GATE CE 2010
MCQ (Single Correct Answer)
+2
-0.6
Given a function $$f\left( {x,y} \right) = 4{x^2} + 6{y^2} - 8x - 4y + 8,$$ the optimal values of $$f(x,y)$$ is
A
a minimum equal to $${{10} \over 3}$$
B
a maximum equal to $${{10} \over 3}$$
C
a minimum equal to $${{8} \over 3}$$
D
a maximum equal to $${{8} \over 3}$$
GATE CE Subjects
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