CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
107
You visited us 107 times! Enjoying our articles? Unlock Full Access!
Question

Given p=3^i+2^j+4^k,a=^i+^j,b=^j+^k,c=^i+^k and P=xa+yb+zc, then x,y,z are respectively.

A
32,12,52
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12,32,52
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
52,32,12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12,52,32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 12,32,52
p=xa+yb+zc
3^i+2^j+4^k=x(^i+^j)+y(^j+^k)+z(^i+^k)
3^i+2^j+4^k=(x+z)^i+(x+y)^j+(y+z)^k
On comparing both sides the coefficients of ^i,^j,^k, we get
x+z=3 ...........(i)
x+y=2 ...........(ii)
and y+z=4 ...........(iii)
On solving Eqs. (i),(ii) and (iii), we get
X=12,y=32,z=52

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