Home
Class 12
MATHS
If (a+ib)/(c+id)=x+iy prove that, (a-ib)...

If `(a+ib)/(c+id)=x+iy` prove that, `(a-ib)/(c-id)=x-iy`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4(LONG ANSWER TYPE QUESTION )|27 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVEEXAMS(Multiple Corrrect Answer type)|7 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4 (VERY SHORT ANSWER TYPE QUESTIONS)|34 Videos

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (E. Assertion-Reason Type)|2 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (a-ib)(c-id)=x-iy

If (a+ib)/(c+id)=x+iy prove that, (a^(2)+b^(2))/(c^(2)+d^(2))=x^(2)+y^(2)

Prove that, |x-iy|/|-x+iy|=1

If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (ac-bd)^(2)+(ad+bc)^(2)=x^(2)+y^(2)

If x+iy = (a+ib)/(a-ib) , prove that x^(2) + y^(2)=1 .

If x+iy=sqrt((a+ib)/(c+id))" ""prove that", (x^(2)+y^(2))^(2)=(a^(2)+b^(2))/(c^(2)+d^(2))

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If (x+iy)(1+i)=2 then

If z=(a+ib)^5+(b+ia)^5 then prove that Re(z)=Im(z), where a,b in R.

If sqrt(a+ib) =x+iy then possible value of sqrt(a-ib) is-