Clnsbstnkng

18 Questions
17 Answers

+1

3

5

+73

HELP!!! (From the real Clnsbstnkng)

In the complex plane, z, z2, z3, form, in some order, three of the vertices of a non-degenerate square. Enter all possible areas of the square, separated by commas.

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Clnsbstnkng 1 авг. 2025 г.

+1

2

5

+73

HELP!!!

The ellipse shown below is defined by the equation PF1+PF2=d.
Find d.

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Clnsbstnkng 30 июл. 2025 г.

+1

3

7

+73

HELP!!! (From the real Clnsbstnkng)

An ellipse has its foci at (-1, -1) and (-1, -3).
Given that it passes through the point (4, -2), its equation can be written in the form ((x-h)2/a2)/((y-k)2/b2)=1 where a, b, h, k are constants, and a and b are positive. Find a+k.

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Clnsbstnkng 28 июл. 2025 г.

+1

3

2

+73

HELP!!! (From the OG Clnsbstnkng)

In the complex plane, z, z2, z3, form, in some order, three of the vertices of a non-degenerate square. Enter all possible areas of the square, separated by commas.

Clnsbstnkng 27 июл. 2025 г.

+1

3

3

+73

HELP!!!

In the complex plane, z, z2, z3, form, in some order, three of the vertices of a non-degenerate square. Enter all possible areas of the square, separated by commas.

Clnsbstnkng 27 июл. 2025 г.

+1

2

4

+73

HELP!!!

In the complex plane, z, z2, z3, form, in some order, three of the vertices of a non-degenerate square. Enter all possible areas of the square, separated by commas.

Clnsbstnkng 26 июл. 2025 г.

+1

2

6

+73

HELP!!!

Compute the smallest positive integer n such that n+i, (n+i)2, and (n+i)3 are the vertices of a triangle in the complex plane whose area is greater than 2015.

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Clnsbstnkng 25 июл. 2025 г.

+1

2

4

+73

HELP!!!

Let z be a complex number such that |z|=1.
Find the maximum value of |1+z|+|1-z+z2|.

Clnsbstnkng 24 июл. 2025 г.

+1

4

3

+73

HELP!!!

Let z be a complex number such that |z|=1.
Find the maximum value of |1+z|+|1-z+z2|.

Clnsbstnkng 23 июл. 2025 г.

+1

3

2

+73

HELP!!!

If z is a complex number such that z+z-1=√3,
what is the value of z2010+z-2010?

Clnsbstnkng 22 июл. 2025 г.

+1

2

3

+73

HELP!!!

Let z1 and z2 be two complex numbers such that |z1| = 5 and (z1/z2)+(z2/z1)=1.
Find |z1-z2|2.
Note: The answer is not 75.

Clnsbstnkng 21 июл. 2025 г.