Question:

$a + ib < c + id$ is meaningful only when

Updated On: Mar 10, 2023
  • $a^2+c^2=0$
  • $b^2 + c^2 =0$
  • $b^2 + d^2 =0$
  • $a^2 +d ^2 =0$
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The Correct Option is C

Solution and Explanation

Meaningful only if $b=0$, $d=0$ i.e., if $b^2+d^2=0$
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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.