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Mathematics · 2021

JEE Main · 25 February 2021, Shift 1 · Q62

Let the lines (2-i) z=(2+i) z̄ and (2+i) z+(i-2) z̄-4 i=0, (here.i^2=-1) be normal to a circle C. If the line i z+z̄+1+i=0 is tangent to this circle…

Let the lines $\displaystyle (2-i) z=(2+i) \bar{z}$ and $\displaystyle (2+i) z+(i-2) \bar{z}-4 i=0$, (here $\displaystyle \left.i^2=-1\right)$ be normal to a circle C. If the line $\displaystyle i z+\bar{z}+1+i=0$ is tangent to this circle C, then its radius is :
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