1
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx$$ = A(x)$${\tan ^{ - 1}}\left( {\sqrt x } \right)$$ + B(x) + C,
where C is a constant of integration, then the ordered pair (A(x), B(x)) can be :
A
(x + 1, -$${\sqrt x }$$)
B
(x + 1, $${\sqrt x }$$)
C
(x - 1, -$${\sqrt x }$$)
D
(x - 1, $${\sqrt x }$$)
2
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let xi (1 $$ \le $$ i $$ \le $$ 10) be ten observations of a random variable X. If
$$\sum\limits_{i = 1}^{10} {\left( {{x_i} - p} \right)} = 3$$ and $$\sum\limits_{i = 1}^{10} {{{\left( {{x_i} - p} \right)}^2}} = 9$$
where 0 $$ \ne $$ p $$ \in $$ R, then the standard deviation of these observations is :
A
$${7 \over {10}}$$
B
$${9 \over {10}}$$
C
$${4 \over 5}$$
D
$$\sqrt {{3 \over 5}} $$
3
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If a $$\Delta $$ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :
A
(–3, 3)
B
(3, –3)
C
$$\left( {{3 \over 5}, - {3 \over 5}} \right)$$
D
$$\left( { - {3 \over 5},{3 \over 5}} \right)$$
4
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The plane which bisects the line joining, the points (4, –2, 3) and (2, 4, –1) at right angles also passes through the point :
A
(4, 0, 1)
B
(0, –1, 1)
C
(0, 1, –1)
D
(4, 0, –1)
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