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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If ∣z∣=2|z|=2 and locus of 5z−15 z-1 is the circle having radius aa and z12+z22−2z1z2cos⁡θ=0z_1^2+z_2^2-2 z_1 z_2 \cos \theta=0, then ∣z1∣:∣z2∣\left|z_1\right|:\left|z_2\right| is equal to
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Correct option: C
a:10a: 10
Option C (a:10a: 10) is correct because it correctly relates the radius of the locus of 5z−15z-1 to the ratio of ∣z1∣|z_1| and ∣z2∣|z_2|.

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