Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Morning shift · Q3182

JEE Main 20204 Sep, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

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 :

Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Morning shift · Q3182

JEE Main 20204 Sep, Morning shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

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 :

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