Given below are two statements. STATEMENT - 1: Let z be a complex number, then the…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Given below are two statements.
STATEMENT - 1: Let z be a complex number, then the equation \(z^{4}+z+z=0\) cannot have a root, such that\(|z|<1\).
STATEMENT - 2: \(\left|z_{1}+z_{2}\right| \leq\left|z_{1}\right|+\left|z_{2}\right|\)
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(D) Statement - 1 is false and Statement - 2 is true
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