1
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A ratio of the 5th term from the beginning to the 5th term from the end in the binomial expansion of $${\left( {{2^{1/3}} + {1 \over {2{{\left( 3 \right)}^{1/3}}}}} \right)^{10}}$$ is :
A
1 : 2(6)1/3
B
1 : 4(6)1/3
C
2(36)1/3 : 1
D
4(36)1/3 : 1
2
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is :
A
31
B
50
C
51
D
30
3
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola?
A
$$\left( {6,5\sqrt 2 } \right)$$
B
$$\left( {2\sqrt 6 ,5} \right)$$
C
$$\left( { - 6,2\sqrt {10} } \right)$$
D
$$\left( {4,\sqrt {15} } \right)$$
4
JEE Main 2019 (Online) 12th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let  Sk = $${{1 + 2 + 3 + .... + k} \over k}.$$ If   $$S_1^2 + S_2^2 + .....\, + S_{10}^2 = {5 \over {12}}$$A,  then A is equal to :
A
283
B
156
C
301
D
303
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