Home
Class 11
MATHS
Express the following expression in the ...

Express the following expression in the form of a+lb:
`((3-2i)(2+3i))/((1+2i)(2-i))`

Text Solution

Verified by Experts

The correct Answer is:
`(63)/(25)-(16)/(25)i`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 5.1|13 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 5.2|8 Videos
  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|7 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

Similar Questions

Explore conceptually related problems

Express the following expression in the form of a+ib: ((4i-1)/(2i+1))^(2)

Express the following expression in the form of a+lb: (5+sqrt(2)i)/(1-sqrt(2)i)

Express the following expression in the form of a+lb: [((sqrt(5)+i)/(2))(sqrt(5)-2i)]+(6+5i)

Express the following expression in the form of a+ib . ((3+isqrt(5))(3-isqrt(5))/((sqrt(3) + 2i)-(sqrt(3)-isqrt(2))))

Find the conjugate of ((3-2i)(2+3i))/((1-2i)(2-i))

Express the following in the form of a+bi, (i) (-5i) (1/8 i) , (ii) (-i)(2i)(-1/8i)^(3)

Express each of the following complex number in the form a+ib: (-i)(2i)(-(1)/(3)i)^(3)

Express each of the following complex number in the form a+ib: (5-i)((1)/(8)i)

Express each of the following complex number in the form a+ib: (1+i)(1+2i)

Express the following in the form a+ib. (i) (5+sqrt(2)i)/(1-sqrt(2)i) , (ii) i^(-35)