1
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let z $$ \in $$ C be such that |z| < 1.

If $$\omega = {{5 + 3z} \over {5(1 - z)}}$$z, then :
A
4Im( $$\omega$$) > 5
B
5Im( $$\omega$$) < 1
C
5Re( $$\omega$$) > 4
D
5Re( $$\omega$$) > 1
2
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the sum and product of the first three term in an A.P. are 33 and 1155, respectively, then a value of its 11th term is :-
A
–25
B
–36
C
25
D
–35
3
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If f : R $$ \to $$ R is a differentiable function and f(2) = 6,
then $$\mathop {\lim }\limits_{x \to 2} {{\int\limits_6^{f\left( x \right)} {2tdt} } \over {\left( {x - 2} \right)}}$$ is :-
A
2f'(2)
B
24f'(2)
C
0
D
12f'(2)
4
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the two lines x + (a – 1) y = 1 and 2x + a2y = 1 (a$$ \in $$R – {0, 1}) are perpendicular, then the distance of their point of intersection from the origin is :
A
$${2 \over \sqrt5}$$
B
$${\sqrt2 \over 5}$$
C
$${2 \over 5}$$
D
$$\sqrt{2 \over 5}$$
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