The value of √(-25)+3√(-4)+2√(-9) is __________
- -17i
- 13i
- -13i
- 17i
The Correct Option is A
Solution and Explanation
Top Questions on complex numbers
- Let a complex number \(z\) satisfy the equation: \[ |z - z_1| = 2 |z - z_2|,\quad \text{where } z_1 = 1 + 2i,\ z_2 = 3i \] Then choose the correct options:
- JEE Advanced - 2025
- Mathematics
- complex numbers
For a non-zero complex number $ z $, let $\arg(z)$ denote the principal argument of $ z $, with $-\pi < \arg(z) \leq \pi$. Let $\omega$ be the cube root of unity for which $0 < \arg(\omega) < \pi$. Let $$ \alpha = \arg \left( \sum_{n=1}^{2025} (-\omega)^n \right). $$ Then the value of $\frac{3 \alpha}{\pi}$ is _____.
- JEE Advanced - 2025
- Mathematics
- complex numbers
- Let a complex number \(z\) satisfy the equation \[ |z - z_1| = 2 |z - z_2|,\quad \text{where } z_1 = 1 + 2i,\ z_2 = 3i \] Then choose the correct options:
- JEE Advanced - 2025
- Mathematics
- complex numbers
- If \( \alpha \) and \( \beta \) are the roots of the equation \( 2z^2 - 3z - 2i = 0 \), where \( i = \sqrt{-1} \), then \[ 16 \cdot {Re} \left( \frac{\alpha^{19} + \beta^{19} + \alpha^{11} + \beta^{11}}{\alpha^{15} + \beta^{15}} \right) \cdot {Im} \left( \frac{\alpha^{19} + \beta^{19} + \alpha^{11} + \beta^{11}}{\alpha^{15} + \beta^{15}} \right) \] is equal to:
- JEE Main - 2025
- Mathematics
- complex numbers
- The number of complex numbers \( z \), satisfying \( |z| = 1 \) and \[ \left| \frac{z}{\overline{z}} + \frac{\overline{z}}{z} \right| = 1, \] is:
- JEE Main - 2025
- Mathematics
- complex numbers
Questions Asked in SRMJEEE exam
The molar conductivities at infinite dilution for Na2SO4,K2S04,KCl, HCl and HCOONa at 300K are 260, 308, 150, 426, and 105 S cm2 mol-1, respectively. What will be A+m for formic acid in the same unit?
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- The current of 2A passing through a coil of 100 turns gives rise to a magnetic flux of 5 x 10-5 Wb/turn, the magnetic energy associated with the coil is _________ J
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Markovnikov reaction is a
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- Organic Chemistry - Some Basic Principles and Techniques
Calculate the Reynold’s number for a liquid of density 1 g/cm3, viscosity 8 x 10-4 Pa.s flowing at 0.5 m/s through a pipe of diameter 4 cm?
- SRMJEEE - 2023
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Which of the following statement is true for aqueous solution of 0.1 M urea, 0.2 M glucose nad 0.3 M sucrose
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Concepts Used:
Complex Numbers and Quadratic Equations
Complex Number: Any number that is formed as a+ib is called a complex number. For example: 9+3i,7+8i are complex numbers. Here i = -1. With this we can say that i² = 1. So, for every equation which does not have a real solution we can use i = -1.
Quadratic equation: A polynomial that has two roots or is of the degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b and c are the real numbers.
