1

JEE Advanced 2022 Paper 2 Online

MCQ (More than One Correct Answer)

+4

-2

Let $\bar{z}$ denote the complex conjugate of a complex number $z$. If $z$ is a non-zero complex number for which both real and imaginary parts of
$$
(\bar{z})^{2}+\frac{1}{z^{2}}
$$
are integers, then which of the following is/are possible value(s) of $|z|$ ?

2

JEE Advanced 2021 Paper 1 Online

MCQ (More than One Correct Answer)

+4

-2

For any complex number w = c + id, let $$\arg (w) \in ( - \pi ,\pi ]$$, where $$i = \sqrt { - 1} $$. Let $$\alpha$$ and $$\beta$$ be real numbers such that for all complex numbers z = x + iy satisfying $$\arg \left( {{{z + \alpha } \over {z + \beta }}} \right) = {\pi \over 4}$$, the ordered pair (x, y) lies on the circle $${x^2} + {y^2} + 5x - 3y + 4 = 0$$, Then which of the following statements is (are) TRUE?

3

JEE Advanced 2020 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let S be the set of all complex numbers z

satisfying |z

satisfying |z

^{2}+ z + 1| = 1. Then which of the following statements is/are TRUE?4

JEE Advanced 2018 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Let s, t, r be non-zero complex numbers and L be the set of solutions $$z = x + iy(x,y \in R,\,i = \sqrt { - 1} )$$ of the equation $$sz + t\overline z + r = 0$$ where $$\overline z $$ = x $$-$$ iy. Then, which of the following statement(s) is(are) TRUE?

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

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2024 Paper 1 Online (1)
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IIT-JEE 2010 Paper 1 Offline (1)
IIT-JEE 1998 (3)
IIT-JEE 1987 (2)
IIT-JEE 1986 (1)
IIT-JEE 1985 (1)

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