Home
Class 11
MATHS
If x+iy = (a+ib)/(a-ib), prove that x^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise EXERCISE 5.1|14 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise EXERCISE 5.2|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    NCERT TAMIL|Exercise EXERCISE 4.5|25 Videos

  • CONIC SECTIONS

    NCERT TAMIL|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

If x-iy= sqrt((a-ib)/(c-id)) , prove that x^(2)+y^(2)=(a^(2)+b^(2))/(c^(2)+d^(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+iy = (3)/(2+costheta+ isintheta) prove that x^(2)+y^(2)=4x-3

If p +iq = (a + ib)/(a - ib) then p^2 + q^2 = …………

If y = sin (m sin^(-1) x), prove that (1 - x^2)y_2 -xy_1 + m^2 y = 0

If y = ( cos^(-1) x)^2 , prove that (1-x^2) (d^2 y)/(dx^2) - x(dy)/(dx) - 2=0 . Hence find y_2 when x=0 .

If y= 2^((1)/(log_(x)4)) then prove that x=y^(2) .

If y= (cos^(-1) x)^2 , prove that (1-x^2) (d^2y)/(dx^2) - x(dy)/(dx) -2 =0 , Hence find y_2 when x=0 .

If z = x + iy and arg ((z - i)/(z + 2))= (pi)/(4) . Show that x^(2) + y^(2) + 3x - 3y + 2 = 0 .

If p+iq=(a+ib)/(a-ib) then p^(2)+q^(2) =…………..