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Complex Numbers question

2021 · 25 Jul · Shift 2 · Q42

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JEE Main
Mathematics
Complex Numbers
2021 · 25 Jul · Shift 2 · Q42

Complex Numbers question

2021 · 25 Jul · Shift 2 · Q42

JEE MainMathematicsComplex NumbersNumerical+4 / −1

The equation of a circle is Re(z2) + 2(Im(z))2 + 2Re(z) = 0, where z = x + iy. A line which passes through the center of the given circle and the vertex of the parabola, x2

-

6x

-

y + 13 = 0, has y-intercept equal to

\underline{\hspace{2cm}}

.

Numerical answer

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