JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

For all

z \in C

on the curve

C_{1}:|z|=4

, let the locus of the point

z+\frac{1}{z}

be the curve

C_{2}

. Then:

View answer and explanation

Correct option: C

The curves

C_{1}

and

C_{2}

intersect at 4 points

The curves

C_1

and

C_2

intersect at 4 points because

C_1

is a circle and

C_2

is an ellipse where the radius of the circle is smaller than the major axis of the ellipse.

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