wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If x+3i2+iy=1−i, then the value of (5x−7y)2 is

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 0
x+3i2+iy=1i

Or
x+3i=(1i)(2+iy)
x+3i=2+iy2i+y
xy2=i(y5)
Or
(xy2)+i(5y)=0

Hence
5y=0 or y=5 and

xy2=0 or xy=2

Since y=5

Hence
x=y+2 or x=5+2

x=7

Therefore
x=7 and y=5.

Therefore
(5x7y)2

=(5(7)7(5))2

=(3535)2

=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Algebra of Derivatives
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon