1
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
If |z $$-$$ 3 + 2i| $$\le$$ 4 then the difference between the greatest value and the least value of |z| is :
A
$$2\sqrt {13}$$
B
8
C
4 + $$\sqrt {13}$$
D
$$\sqrt {13}$$
2
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
The set of all $$\alpha$$ $$\in$$ R, for which w = $${{1 + \left( {1 - 8\alpha } \right)z} \over {1 - z}}$$ is purely imaginary number, for all z $$\in$$ C satisfying |z| = 1 and Re z $$\ne$$ 1, is :
A
an empty set
B
{0}
C
$$\left\{ {0,{1 \over 4}, - {1 \over 4}} \right\}$$
D
equal to R
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
The equation
Im $$\left( {{{iz - 2} \over {z - i}}} \right)$$ + 1 = 0, z $$\in$$ C, z $$\ne$$ i
represents a part of a circle having radius equal to :
A
2
B
1
C
$${3 \over 4}$$
D
$${1 \over 2}$$
4
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
Let z$$\in$$C, the set of complex numbers. Then the equation, 2|z + 3i| $$-$$ |z $$-$$ i| = 0 represents :
A
a circle with radius $${8 \over 3}.$$
B
a circle with diameter $${{10} \over 3}.$$
C
an ellipse with length of major axis $${{16} \over 3}.$$
D
an ellipse with length of minor axis $${{16} \over 9}.$$
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