1
AIEEE 2007
+4
-1
The function $$f\left( x \right) = {\tan ^{ - 1}}\left( {\sin x + \cos x} \right)$$ is an incresing function in
A
$$\left( {0,{\pi \over 2}} \right)$$
B
$$\left( { - {\pi \over 2},{\pi \over 2}} \right)$$
C
$$\left( { {\pi \over 4},{\pi \over 2}} \right)$$
D
$$\left( { - {\pi \over 2},{\pi \over 4}} \right)$$
2
AIEEE 2007
+4
-1
Out of Syllabus
A value of $$c$$ for which conclusion of Mean Value Theorem holds for the function $$f\left( x \right) = {\log _e}x$$ on the interval $$\left[ {1,3} \right]$$ is
A
$${\log _3}e$$
B
$${\log _e}3$$
C
$$2\,\,{\log _3}e$$
D
$${1 \over 2}{\log _3}e$$
3
AIEEE 2007
+4
-1
If $$p$$ and $$q$$ are positive real numbers such that $${p^2} + {q^2} = 1$$, then the maximum value of $$(p+q)$$ is
A
$${1 \over 2}$$
B
$${1 \over {\sqrt 2 }}$$
C
$${\sqrt 2 }$$
D
$$2$$
4
AIEEE 2006
+4
-1
Out of Syllabus
Angle between the tangents to the curve $$y = {x^2} - 5x + 6$$ at the points $$(2,0)$$ and $$(3,0)$$ is
A
$$\pi$$
B
$${\pi \over 2}$$
C
$${\pi \over 6}$$
D
$${\pi \over 4}$$
EXAM MAP
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