Home
Class 12
MATHS
If 4x" "+" "i(3x" "" "y)" "=" "3" "+" "i...

If `4x" "+" "i(3x" "" "y)" "=" "3" "+" "i" "(" "6)` , where x and y are real numbers, then find the values of x and y.

Text Solution

Verified by Experts

`:. 4x+i(3x-y)=3-6i`
Equationg real and imaginary part we get
`4x=3 and 3x-y=-6`
`rArr x=3//4 and 3((3)/(4))-y=-6`
`(9)/(4)+6=y`
`rArr y=(33)/(4)` ltrbgt `:.x=(3)/(4) and y=(33)/(4)`
`:.x=(3)/(4) and y=(33)/(4)`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (A)|11 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE -1 (B)|37 Videos

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos

  • DE MOIVRE'S THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|6 Videos

Similar Questions

Explore conceptually related problems

If (x+1, y-2)=(3,1), find the values of x and y.

2x+3y=2,5x-6y=0 then find the value of 'x'

If x=1, y=2 find the value of: 4x-3y+5

If f(2x + 3y, 2x-3y)=4xy , then find the value of f(x,y)

Find the value of x if y=(3)/(4)x and 5x+8y=33.

If x and y are real numbers of such that ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i , then determine the values of x and y.

Find the difference of 4x +3y and 2x- 3y =

If -3+ix^2y and x^(2)+y+4i are conjugate complex numbers , then x =