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Question 93

The area of the triangle whose vertices are represented by the complex numbers 0, z, zeiα (o < α < π) is equal to


a)

b)

c)

d)

Your Answer

 ABCD   CLEAR

Solve the equation |z| + z = 3 + 4i

Solve the equation iz2 + (1 + 2i) z + 1 = 0

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If  and  are roots of the equation , compute  

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Factorize (in linear polynomials) the polynomial x4 + x2 + 1

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Find all quadratic equations with real coefficients that have one of the root  

Find all quadratic equations with real coefficients that have one of the root

Solve the equation

Compute  when  

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Find all real numbers m for which the equation   has at least one real root.

The equation of a circle whose radius and centre are r and  respectively, is

a)

b)

c)

d) none of these

The area of the triangle whose vertices are represented by the complex numbers 0, z, zeiα (o < α < π) is equal to

a)

b)

c)

d)

The number of complex numbers z such that |z – 1| = |z + 1| = |z – i| equals

a) 0

b) 1

c) 2

d) ∞

If  then the maximum value of |z| is equal to

a)

b)

c) 2

d)

Given that 1 + 2i is one root of the equation . Find the other three roots.