1
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The mean of 5 observations is 5 and their variance is 124. If three of the observations are 1, 2 and 6 ; then the mean deviation from the mean of the data is :
A
2.4
B
2.8
C
2.5
D
2.6
2
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A hyperbola whose transverse axis is along the major axis of the conic, $${{{x^2}} \over 3} + {{{y^2}} \over 4} = 4$$ and has vertices at the foci of this conic. If the eccentricity of the hyperbola is $${3 \over 2},$$ then which of the following points does NOT lie on it?
A
(0, 2)
B
$$\left( {\sqrt 5 ,2\sqrt 2 } \right)$$
C
$$\left( {\sqrt {10} ,2\sqrt 3 } \right)$$
D
$$\left( {5,2\sqrt 3 } \right)$$
3
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If   A > 0, B > 0   and    A + B = $${\pi \over 6}$$,

then the minimum value of tanA + tanB is :
A
$$\sqrt 3 - \sqrt 2 $$
B
$$2 - \sqrt 3 $$
C
$$4 - 2\sqrt 3 $$
D
$${2 \over {\sqrt 3 }}$$
4
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
ABC is a triangle in a plane with vertices

A(2, 3, 5), B(−1, 3, 2) and C($$\lambda $$, 5, $$\mu $$).

If the median through A is equally inclined to the coordinate axes, then the value of ($$\lambda $$3 + $$\mu $$3 + 5) is :
A
1130
B
1348
C
676
D
1077

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