1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
Out of Syllabus
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)
2
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
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 (Offline)
+4
-1
A wire of length $$2$$ units is cut into two parts which are bent respectively to form a square of side $$=x$$ units and a circle of radius $$=r$$ units. If the sum of the areas of the square and the circle so formed is minimum, then:
A
$$x=2r$$
B
$$2x=r$$
C
$$2x = \left( {\pi + 4} \right)r$$
D
$$\left( {4 - \pi } \right)x = \pi \,\, r$$
4
JEE Main 2016 (Offline)
+4
-1
Out of Syllabus
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
$$\left( {0,{{2\pi } \over 3}} \right)$$
EXAM MAP
Medical
NEET