CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If |a|=b=|c|=3 and a.b.=b.c=c.a=4. If p,q,r is the reciprocal system of a,b,c, then 85 [pqr] is equal to

A
17
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
217
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
317
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
517
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 17
We take
[¯¯¯a¯¯b¯¯c]2 =∣ ∣ ∣¯a,.¯a¯a.¯b¯a.¯c¯b.¯a¯b.¯b¯b.¯c¯c.¯a¯c.¯b¯c.¯c∣ ∣ ∣
=∣ ∣944494449∣ ∣=425
[¯¯¯a¯¯b¯¯c]=517
For the reciprocal system , the property is
[¯¯¯p¯¯¯q¯¯¯r][¯¯¯a¯¯b¯¯c]=1
[¯¯¯p¯¯¯q¯¯¯r]=1517
85[¯¯¯p¯¯¯q¯r]=17

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Continuity in an Interval
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon