1

JEE Main 2021 (Online) 26th August Evening Shift

MCQ (Single Correct Answer)

+4

-1

If $${\left( {\sqrt 3 + i} \right)^{100}} = {2^{99}}(p + iq)$$, then p and q are roots of the equation :

2

JEE Main 2021 (Online) 26th August Morning Shift

MCQ (Single Correct Answer)

+4

-1

The equation $$\arg \left( {{{z - 1} \over {z + 1}}} \right) = {\pi \over 4}$$ represents a circle with :

3

JEE Main 2021 (Online) 27th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let C be the set of all complex numbers. Let

S

S

Then, the maximum value of $${\left| {z - {5 \over 2}} \right|^2}$$ for z$$\in$$S

S

_{1}= {z$$\in$$C : |z $$-$$ 2| $$\le$$ 1} andS

_{2}= {z$$\in$$C : z(1 + i) + $$\overline z $$(1 $$-$$ i) $$\ge$$ 4}.Then, the maximum value of $${\left| {z - {5 \over 2}} \right|^2}$$ for z$$\in$$S

_{1}$$\cap$$ S_{2}is equal to :4

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let C be the set of all complex numbers. Let

$${S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\} $$

$${S_2} = \{ z \in C|{\mathop{\rm Re}\nolimits} (z) \ge 5\} $$ and

$${S_3} = \{ z \in C||z - \overline z | \ge 8\} $$.

Then the number of elements in $${S_1} \cap {S_2} \cap {S_3}$$ is equal to :

$${S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\} $$

$${S_2} = \{ z \in C|{\mathop{\rm Re}\nolimits} (z) \ge 5\} $$ and

$${S_3} = \{ z \in C||z - \overline z | \ge 8\} $$.

Then the number of elements in $${S_1} \cap {S_2} \cap {S_3}$$ is equal to :

Questions Asked from Complex Numbers (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates
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