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Maths Complex Number General Comprehension
Published on: August 13, 2026

Let is of the form , where are constants and are complex numbers such that satisfies following properties :

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The correct answer is:
CHECK THE SOLUTION.

(i) Given

For standard quadratic polynomial ,

So equation becomes

If , then denominator of term .
Hence equation reduces to

which represents a pair of parallel lines.
hyperbola

(ii) Given ellipse

Substitute point :

Since and ,

Hence, point lies inside the ellipse.

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