Given below are two statements. STATEMENT - 1 (Assertion): If 5 z_ 2 11 z_ 1 is purely…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Given below are two statements.
STATEMENT - 1 (Assertion): If \(\frac{5 z_{2}}{11 z_{1}}\) is purely imaginary then, \(\left|\frac{2 z_{1}+3 z_{2}}{2 z_{1}-3 z_{2}}\right|=1\)
STATEMENT - 2 (Reason): \(|z|=|\bar{z}| \text { i.e., }|a+i b|=|a-i b|, i=\sqrt{-1}\)
In the light of the above statements, choose the correct answer from the options given below:
- Both Assertion and Reason are true and Reason is the correct explanation of Assertion
- Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
- Assertion is true but Reason is false
- Assertion is false but Reason is true
Answer
(A) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
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