मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

If z = x + iy, find the following in rectangular form: ReRe(1z) - Mathematics

Advertisements
Advertisements

प्रश्न

If z = x + iy, find the following in rectangular form:

`"Re"(1/z)`

बेरीज

उत्तर

`"Re"(1/z) = 1/(x + "i"y) xx (x - "i"y)/(x - "i"y)`

= `(x - "i"y)/(x^2 + y^2)`

= `x/(x^2 + y^2) - ("i"y)/(x^2 + y^2)`

∴ `"Re"(1/z) = x/(x^2 + y^2)`

shaalaa.com
Conjugate of a Complex Number
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Complex Numbers - Exercise 2.4 [पृष्ठ ६५]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 2 Complex Numbers
Exercise 2.4 | Q 2. (i) | पृष्ठ ६५
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×