Question:
Choose the most appropriate options.
If \( |z^2 - 1| = |z|^2 + 1 \), then \( z \) lies on a
Choose the most appropriate options.
If \( |z^2 - 1| = |z|^2 + 1 \), then \( z \) lies on a
Show Hint
Understanding the geometric meaning of complex number equations can often reveal surprising results.
Updated On: Dec 11, 2025
Circle
- Parabola
Ellipse
None of these
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The equation \( |z^2 - 1| = |z|^2 + 1 \) does not represent a standard geometric figure like a circle, parabola, or ellipse.
Thus, the answer is "None of these."
Thus, the answer is "None of these."
Was this answer helpful?
0
0
Top IPU CET Mathematics Questions
- Choose the most appropriate options.
\[ \int \frac{x^2 - 2}{x \sqrt{x^2 - 1}}\,dx \text{ equal to} \] - \[ \lim_{x \to 0} \frac{\sqrt{1+x} - \sqrt{1 - x}}{x} \]
- In how many ways can the four walls of a room be painted with three colours such that no two adjacent walls have the same colour?
- A die is thrown twice and the sum of the numbers appearing is 6. Then, the conditional probability that the number 4 has appeared at least once is
- There are 3 true coins and 1 false coin with 'head' on both sides. A coin is chosen at random and tossed 4 times. If 'head' occurs all the 4 times, then the probability that the false coin has been chosen and used is
View More Questions
Top IPU CET Complex Numbers Questions
- Let \( a = \cos \theta_1 + i \sin \theta_1 \), \( b = \cos \theta_2 + i \sin \theta_2 \), \( c = \cos \theta_3 + i \sin \theta_3 \) and \( a + b + c = 0 \), then \[ \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = ? \]
$ (1 + 2i)^6 $ is equal to:
- What is the number of ordered pairs of real numbers (a, b) such that \[ (a + bi)^{2002} = a - bi \]
- Which of the following complex numbers is conjugate to its square?
- If $n$ is an integer, compute the value of the fraction \[ \frac{(1 + \theta)^n}{(1 - \theta)^{n-2}} \]
View More Questions
Top IPU CET Questions
- The two kinds of main memory are:
- In computer terminology, what is the full form of RAM?
- Permanent instructions that the computer use when it is turned ON and are not changed by other instructions are contained in:
- What is the full form of PROM?
- Which of the following acts as a buffer between the CPU and the main memory?
View More Questions