Question

If z=3-2i
Then, find the conjugate if "z"

Answer 1

Answer:

In graph.

Step-by-step explanation:

Hope it helps you dear...

Answer 2

Answer:

given equation represents the circle with center(3,−2) and is of radius (R)=4

∣z∣ represents the distance of point 'z' from origin

Greatest and least distances occur along the normal through the origin

Normal always passes through center of circle

From figure;

let PQ be the normal through origin 'O'

and C be its center (3,−2)

it is clear that OP is the least distance

and OQ is the greatest distance

From diagram;

OP=CP−OC and OQ=CQ+OC

Here, CP=CQ=R=4

OC=

(3−0)

2

+(−2−0)

2

⇒OC=

13

∴OP=CP−OC

⇒OP=4−

13

∴LeastdistanceOP=4−

13

andOQ=CQ+OC

⇒OQ=4+

13

∴ Greatest distance =OQ=4+

13

Difference between greatest and least distance=OQ-OP=(4+

13

)−(4−

13

)

⇒ Difference=2

13

final answer=2

13

the correct option is 'B'