Do they represent conic sections?

Algebra Level 4

{ ∣ z + z ˉ ∣ + ∣ z − z ˉ ∣ = 2 ∣ i z − 1 ∣ + ∣ z − i ∣ = 2 \begin{cases} |z+\bar{z}|+|z-\bar{z}|=2 \\ |iz-1|+|z-i|=2\end{cases} Find the complex number z z which does not satisfy the above equations simultaneously.

1 i 4 \dfrac{1}{i^4} − 1 \sqrt{-1} 1 i 3 \dfrac{1}{i^3} 1 i \dfrac{1}{i}

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Ayush Agarwal
Mar 20, 2016

Well,JEE approach! option a and c are both equal to i,hence rejected.(being single correct). remaining for b and d are respectively 1 and -i one can easily check for 1 to get the required answer.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Haha, Thats well interpreted

Md Zuhair - 4 years, 2 months ago

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