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Complex Numbers question

2020 · 4 Sep · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2020 · 4 Sep · Shift 1 · Q32

Complex Numbers question

2020 · 4 Sep · Shift 1 · Q32

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

u = {{2z + i} \over {z - ki}}

, z = x + iy and k > 0. If the curve represented by Re(u) + Im(u) = 1 intersects the y-axis at the points P and Q where PQ = 5, then the value of k is :

A
2
B
4
C
1/2
D
3/2

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