The real values of x and y for which (x−13+i+y−13−i)=i is
A
x=−4 and y=6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
x=−6 and y=3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x=2 and y=8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x=8 and y=−6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Ax=−4 and y=6 We have (x−13+i+y−13−i)=i(x−1)(3−i)+(y−1)(3+i)32−i2=i⇒3(x+y−2)−i(x−y)10=i⇒3(x+y−2)−i(x−y)=10i⇒3(x+y−2)=0 and (y−x)=10
[equating real parts and the imaginary parts seperately] ⇒x+y−2=0 and y−x=10⇒x=−4 and y=6