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

If b is a vector whose initial point divides the join of 5^i and 5^j in the ratio k:1 and whose terminal point is the origin and |b|37, then k lies in the interval

A
[6,16]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(,6)[16,)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
[0,6]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B (,6)[16,)
The point that divides 5^i and 5^j in the ratio of k:1 is
=(5^j)k+(5^i)1k+1
b=(5^i+5k^jk+1)

Also, |b|37
1k+125+25k237
51+k237(k+1)
Squaring both sides, we get
25(1+k2)37(k2+2k+1)
or, 6k2+37k+60
or, (6k+1)(k+6)0
or, k(,6][16,)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
GS - 9 Test Discussion (Part-1)
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon