Home
Class 11
MATHS
If x+i y=sqrt((a+i b)/(c+i d)) prove tha...

If `x+i y=sqrt((a+i b)/(c+i d))` prove that `(x^2+y^2)^2=(a^2+b^2)/(c^2+d^2)`

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)+b^(2))/(c^(2)+d^(2))`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER 4

    ICSE|Exercise SECTION B |11 Videos

  • SAMPLE QUESTION PAPER 4

    ICSE|Exercise SECTION C |10 Videos

  • SAMPLE QUESTION PAPER 3

    ICSE|Exercise SECTION C|5 Videos

  • SAMPLE QUESTION PAPER 5

    ICSE|Exercise SECTION C|10 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If x- yi = (a-bi)/(c-di) , prove that x^(2) + y^(2)= (a^(2) + b^(2))/(c^(2) + d^(2))

If x+i y=(a+i b)/(a-i b) prove that x^2+y^2=1

If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2 .

If (a+i b)(c+i d)(e+if)(g+i h)=A+i B prove that (a^2+b^2)(c^2+d^2)(e^2+f^2)(g^2+h^2)=A^2+B^2

If under root of (a+i b)/(c+i d)=x+i y , Prove (a^2+b^2)/(c^2+d^2)=(x^2+y^2)^2

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

If (x+i y)(p+i q)=(x^2+y^2)i , prove that x=q ,y=pdot