1
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let f(x) = sin4x + cos4 x. Then f is an increasing function in the interval :
A
$$] 0, \frac{\pi}{4}[$$
B
$$] \frac{\pi}{4}, \frac{\pi}{2}[$$
C
$$] \frac{\pi}{2}, \frac{5 \pi}{8}[$$
D
$$] \frac{5 \pi}{8}, \frac{3 \pi}{4}[$$
2
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The minimum distance of a point on the curve y = x2−4 from the origin is :
A
$${{\sqrt {19} } \over 2}$$
B
$$\sqrt {{{15} \over 2}} $$
C
$${{\sqrt {15} } \over 2}$$
D
$$\sqrt {{{19} \over 2}} $$
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If the tangent at a point P, with parameter t, on the curve x = 4t2 + 3, y = 8t3−1, t $$ \in $$ R, meets the curve again at a point Q, then the coordinates of Q are :
A
(t2 + 3, − t3 −1)
B
(4t2 + 3, − 8t3 −1)
C
(t2 + 3, t3 −1)
D
(16t2 + 3, − 64t3 −1)
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Consider :
f $$\left( x \right) = {\tan ^{ - 1}}\left( {\sqrt {{{1 + \sin x} \over {1 - \sin x}}} } \right),x \in \left( {0,{\pi \over 2}} \right).$$

A normal to $$y = $$ f$$\left( x \right)$$ at $$x = {\pi \over 6}$$ also passes through the point:

A
$$\left( {{\pi \over 6},0} \right)$$
B
$$\left( {{\pi \over 4},0} \right)$$
C
$$(0,0)$$
D
$$\left( {0,{{2\pi } \over 3}} \right)$$
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