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Maths-

General

Easy

Question

If Im $open parentheses fraction numerator z minus 1 over denominator 2 z plus 1 end fraction close parentheses equals negative 4$ then locus of z is

an ellipse
a parabola
a straight line
a circle

The correct answer is:
a straight line

Related Questions to study

If z²+z+1=0 where z is a complex number, then value of $open parentheses z plus 1 over z close parentheses squared plus open parentheses z squared plus 1 over z squared close parentheses squared plus open parentheses z cubed plus 1 over z cubed close parentheses squared plus midline horizontal ellipsis times times plus open parentheses z to the power of 6 plus 1 over z to the power of 6 close parentheses squared$ is [ ]

If z²+z+1=0 where z is a complex number, then value of $open parentheses z plus 1 over z close parentheses squared plus open parentheses z squared plus 1 over z squared close parentheses squared plus open parentheses z cubed plus 1 over z cubed close parentheses squared plus midline horizontal ellipsis times times plus open parentheses z to the power of 6 plus 1 over z to the power of 6 close parentheses squared$ is [ ]

Choose the synonym of tale

Choose the synonym of tale

If a=Cis⁡ α,b=Cis⁡ β c=Cis γ and $fraction numerator left parenthesis b plus c right parenthesis left parenthesis c plus a right parenthesis left parenthesis a plus b right parenthesis over denominator a b c end fraction equals$
$K cos invisible function application open parentheses fraction numerator alpha minus beta over denominator 2 end fraction close parentheses cos invisible function application open parentheses fraction numerator beta minus gamma over denominator 2 end fraction close parentheses cos invisible function application open parentheses fraction numerator gamma minus alpha over denominator 2 end fraction close parentheses$ then K= (H.W)

If a=Cis⁡ α,b=Cis⁡ β c=Cis γ and $fraction numerator left parenthesis b plus c right parenthesis left parenthesis c plus a right parenthesis left parenthesis a plus b right parenthesis over denominator a b c end fraction equals$
$K cos invisible function application open parentheses fraction numerator alpha minus beta over denominator 2 end fraction close parentheses cos invisible function application open parentheses fraction numerator beta minus gamma over denominator 2 end fraction close parentheses cos invisible function application open parentheses fraction numerator gamma minus alpha over denominator 2 end fraction close parentheses$ then K= (H.W)

parallel

Choose the correct sentence.

Choose the correct sentence.

What is the meaning of the following idiom
A Knuckle sandwich.

What is the meaning of the following idiom
A Knuckle sandwich.

The polynomial x⁶+4x⁵+3x⁴+2x³+x+1 is divisible by

The polynomial x⁶+4x⁵+3x⁴+2x³+x+1 is divisible by

parallel

Replace the underlined word with the correct word.
Mob is dispersed in different directions.

Replace the underlined word with the correct word.
Mob is dispersed in different directions.

If z is a complex number satisfying the relation |z+1|=z+2(1+i), then z is

If z is a complex number satisfying the relation |z+1|=z+2(1+i), then z is

Choose the Synonym for the word ' as expected".

Choose the Synonym for the word ' as expected".

parallel

If z₁,z₂ are the roots of equation z²-az+a²=0, then $open vertical bar z subscript 1 over z subscript 3 close vertical bar$ =(H⋅W) [ ]

If z₁,z₂ are the roots of equation z²-az+a²=0, then $open vertical bar z subscript 1 over z subscript 3 close vertical bar$ =(H⋅W) [ ]

Choose the synonym of secondly .

Choose the synonym of secondly .

If $fraction numerator z minus 1 over denominator z plus 1 end fraction$ is purely imaginary then

If $fraction numerator z minus 1 over denominator z plus 1 end fraction$ is purely imaginary then

parallel

What kind of sentence is this?
Sit here.

What kind of sentence is this?
Sit here.

The principal mod-amplitude form of $2 minus square root of 3 plus straight i$ is

The principal mod-amplitude form of $2 minus square root of 3 plus straight i$ is

The mod-amplitude form of -4 is

The mod-amplitude form of -4 is

parallel

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