A point z moves on the curve $| z - 4 - 3 i | = 2$ in an argand plane. The maximum and minimum values of |z| are

2, 1

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6, 5

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4, 3

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7, 3

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Solution

The correct option is D 7, 3
$| z - 4 - 3 i | = 2$ represents a circle with centre (4, 3) and radius 2.

So minimum and maximum distances from the origin will be

OP - r and OP + r respectively.

$| z |_{m i n} = 5 - 2 = 3$

$| z |_{m i n} = 5 + 2 = 7$

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A point z moves on the curve |z−4−3i|=2 in an argand plane. The maximum and minimum values of |z| are

The correct option is D 7, 3|z−4−3i|=2 represents a circle with centre (4, 3) and radius 2.So minimum and maximum distances from the origin will beOP - r and OP + r respectively.|z|min=5−2=3|z|min=5+2=7

A point z moves on the curve $| z - 4 - 3 i | = 2$ in an argand plane. The maximum and minimum values of |z| are

The correct option is D 7, 3
$| z - 4 - 3 i | = 2$ represents a circle with centre (4, 3) and radius 2.

So minimum and maximum distances from the origin will be

OP - r and OP + r respectively.

$| z |_{m i n} = 5 - 2 = 3$

$| z |_{m i n} = 5 + 2 = 7$