1
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
Let $$u = {{2z + i} \over {z - ki}}$$, z = x + iy and k > 0. If the curve represented
by Re(u) + Im(u) = 1 intersects the y-axis at the points P and Q where PQ = 5, then the value of k is :
A
2
B
4
C
1/2
D
3/2
2
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
If $$A = \left[ {\matrix{ {\cos \theta } & {i\sin \theta } \cr {i\sin \theta } & {\cos \theta } \cr } } \right]$$, $$\left( {\theta = {\pi \over {24}}} \right)$$

and $${A^5} = \left[ {\matrix{ a & b \cr c & d \cr } } \right]$$, where $$i = \sqrt { - 1}$$ then which one of the following is not true?
A
$$a$$2 - $$c$$2 = 1
B
$$0 \le {a^2} + {b^2} \le 1$$
C
$$a$$2 - $$d$$2 = 0
D
$${a^2} - {b^2} = {1 \over 2}$$
3
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of the remaining two observations is :
A
5
B
3
C
7
D
9
4
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be:
A
37
B
65
C
29
D
55
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