Home
Class 12
MATHS
If (a + i b) (c + i d) (e + if) (g + i h...

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

A

`A^(2)-B^(2)`

B

`A^(2)+B^(2)`

C

`A^(4)+B^(4)`

D

`A^(4)-B^(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|58 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If (a+ib)(c+id)(e+if)(g+ih) = A + iB , then show that (a^(2) + b^(2))(c^(2) + d^(2))(e^(2) + f^(2)) (g^(2) + h^(2)) = A^(2) + B^(2)

If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (ab+bc+cd)^2

If a,b,c are in HP,b,c,d are in GP and c,d,e are in AP, than show that e=(ab^(2))/(2a-b)^(2) .

If a,b,c are in AP, than show that a^(2)(b+c)+b^(2)(c+a)+c^(2)(a+b)=(2)/(9)(a+b+c)^(3) .

If a, b, c, d and p are different real numbers such that (a^2 + b^2 + c^2)p^2 – 2(ab + bc + cd) p + (b^2 + c^2 + d^2) le 0 , then show that a, b, c and d are in GP.

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

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

If a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in H.P. , then :

If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^2,e^2,y],[c^2 ,f^2,z]| depends on

If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets : C = {a, c, e, g}