If 5z27z1 is purely imaginary, then ∣∣∣2z1+3z22z1−3z2∣∣∣ is equal to
A
5/7
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B
7/9
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C
25/49
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D
none of these
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Solution
The correct option is C none of these 5z27z1 is purely imaginary ⇒5z27z1=ki, where k ε R ⇒z2z1=7ki5 Now, ∣∣∣2z1+3z22z1−3z2∣∣∣=∣∣∣2+3.z2/z12−3z2/z1∣∣∣ =∣∣∣2+3×(7/5)ki2−3×(7/5)ki∣∣∣