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Maths-

General

Easy

Question

Let the complex number z satisfy the equation |z + 4i| = 3. Then the greatest and least values of |z + 3| are -

2, 8
2, 5
5, 8
None of these

The correct answer is: 2, 8

Related Questions to study

In the arrangement shown in figure $m subscript A end subscript equals m subscript B end subscript equals 2 k g.$ String is massless and pulley is frictionless. Block B is resting on a smooth horizontal surface, while friction coefficient between blocks A and B is $mu equals 0.5.$ The maximum horizontal force F can be applied so that blocks A does not slip over the blocks B is $open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses$

In the arrangement shown in figure $m subscript A end subscript equals m subscript B end subscript equals 2 k g.$ String is massless and pulley is frictionless. Block B is resting on a smooth horizontal surface, while friction coefficient between blocks A and B is $mu equals 0.5.$ The maximum horizontal force F can be applied so that blocks A does not slip over the blocks B is $open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses$

physics-General

Blocks A and B in the figure are connected by a bar of negligible weight. If mass of A and B are 170 kg each and $mu subscript A end subscript equals 0.2$ and $mu subscript B end subscript equals 0.4 comma$ where $mu subscript A end subscript$ and $mu subscript B end subscript$ are the coefficient of limiting friction between blocks and plane, calculate the force in the bar. $open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses$

Blocks A and B in the figure are connected by a bar of negligible weight. If mass of A and B are 170 kg each and $mu subscript A end subscript equals 0.2$ and $mu subscript B end subscript equals 0.4 comma$ where $mu subscript A end subscript$ and $mu subscript B end subscript$ are the coefficient of limiting friction between blocks and plane, calculate the force in the bar. $open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses$

physics-General

Two spheres of equal masses are attached to a string of length 2 m as shown in figure. The string and the spheres are then whirled in a horizontal circle about O at a constant rate. The value of the ratio
$open parentheses fraction numerator text Tensioninthestringbetween end text P text and end text Q over denominator text Tension isthestringbetween end text P text and end text O end fraction close parentheses$ is

Two spheres of equal masses are attached to a string of length 2 m as shown in figure. The string and the spheres are then whirled in a horizontal circle about O at a constant rate. The value of the ratio
$open parentheses fraction numerator text Tensioninthestringbetween end text P text and end text Q over denominator text Tension isthestringbetween end text P text and end text O end fraction close parentheses$ is

physics-General

parallel

A pedigree is shown below for a disease that is autosomal recessive. The genetic makeup of the first generation

A pedigree is shown below for a disease that is autosomal recessive. The genetic makeup of the first generation

Given pedigree shows inheritance of autosomal recessive gene. What is the genotype of given parents?BA Parent

Given pedigree shows inheritance of autosomal recessive gene. What is the genotype of given parents?BA Parent

If z ( $not equal to$ – 1) is a complex number such that $fraction numerator z minus 1 over denominator z plus 1 end fraction$ is purely imaginary, then | z | is equal to –

If z ( $not equal to$ – 1) is a complex number such that $fraction numerator z minus 1 over denominator z plus 1 end fraction$ is purely imaginary, then | z | is equal to –

parallel

If $z subscript 1 end subscript$ , $z subscript 2 end subscript$ are conjugate complex numbers and $z subscript 3 end subscript$ , $z subscript 4 end subscript$ are also conjugate, then arg $open parentheses fraction numerator z subscript 3 end subscript over denominator z subscript 2 end subscript end fraction close parentheses$ is equal to

If $z subscript 1 end subscript$ , $z subscript 2 end subscript$ are conjugate complex numbers and $z subscript 3 end subscript$ , $z subscript 4 end subscript$ are also conjugate, then arg $open parentheses fraction numerator z subscript 3 end subscript over denominator z subscript 2 end subscript end fraction close parentheses$ is equal to

If $Z subscript 1 end subscript$ and $z subscript 2 end subscript$ are two nth roots of unity, then arg $open parentheses z subscript 1 end subscript divided by z subscript 2 end subscript close parentheses$ is a multiple of –

If $Z subscript 1 end subscript$ and $z subscript 2 end subscript$ are two nth roots of unity, then arg $open parentheses z subscript 1 end subscript divided by z subscript 2 end subscript close parentheses$ is a multiple of –

A radar observes an aeroplane moving horizontally with a velocity vat height h from ground. Ratio of angular acceleration to angular velocity of aeroplane, w.r.t. radar (in terms of v, h and $theta$ ) is

A radar observes an aeroplane moving horizontally with a velocity vat height h from ground. Ratio of angular acceleration to angular velocity of aeroplane, w.r.t. radar (in terms of v, h and $theta$ ) is

physics-General

parallel

For z $element of$ C, minimum value of |z – 4 + 3i| + |z + z – 4i| is

For z $element of$ C, minimum value of |z – 4 + 3i| + |z + z – 4i| is

The complex numbers sin x + i cos 2x and cos x – i sin 2x are conjugate to each other for -

The complex numbers sin x + i cos 2x and cos x – i sin 2x are conjugate to each other for -

The complex number z satisfying the equation | z –1 | = | z –3 | = | z – i | is -

The complex number z satisfying the equation | z –1 | = | z –3 | = | z – i | is -

parallel

$blank fraction numerator left parenthesis negative 1 minus i square root of 3 right parenthesis to the power of 15 over denominator left parenthesis 1 plus i right parenthesis to the power of 20 end fraction$ is equal to –

$blank fraction numerator left parenthesis negative 1 minus i square root of 3 right parenthesis to the power of 15 over denominator left parenthesis 1 plus i right parenthesis to the power of 20 end fraction$ is equal to –

The area of the triangle on the complex plane formed by the complex numbers z, – iz and z + iz is -

The area of the triangle on the complex plane formed by the complex numbers z, – iz and z + iz is -

If p represents z = x + iy in the argand plane
| z – 1|² $plus vertical line z plus 1 vertical line squared equals 4 ∣$ then locus of P is -

If p represents z = x + iy in the argand plane
| z – 1|² $plus vertical line z plus 1 vertical line squared equals 4 ∣$ then locus of P is -

parallel

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