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

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

Promotional Banner

Topper's Solved these Questions

  • MOCK QUESTION PAPER - 1

    SUBHASH PUBLICATION|Exercise Part-C|14 Videos
  • MOCK QUESTION PAPER - 1

    SUBHASH PUBLICATION|Exercise Part-D|10 Videos
  • MOCK QUESTION PAPER - 1

    SUBHASH PUBLICATION|Exercise Part-E|4 Videos
  • MATRICES

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos
  • MOCK QUESTION PAPER - 2

    SUBHASH PUBLICATION|Exercise Part-E|4 Videos

Similar Questions

Explore conceptually related problems

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

If x+iy = (a+ib)/aib .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) = sqrt(( a^(2) + b^(2))/(c^(2) + d^(2)))

If x+iy=(2+i)/(2-i) then prove taht x^(2)+y^(2)=1

If a+ib = (x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) = (x^(2)+1)^(2)/(2x^(2) + 1)^(2)

If a+ib =(x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) =(x^(2)+1)^(2)/(2x^(2) +1)^(2) .

If a+ib =(x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) =(x^(2)+1)^(2)/(2x^(2) +1)^(2) .

If x^(y) = e^(x - y) prove that (dy)/(dx) = (log_(e)x)/((1 + log_(e)x)^(2)) .

If (x+iy)^(3)=u+iv ,then show that u/x+v/y =4(x^(2) -y^(2)) ?