CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

If one geometric mean G and two arithemtic means p and q be inserted between two numbers, then G2 is equal to:


A

(3p-q)(3q-p)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

(2p-q) (2q-p)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

(4p-q) (4q-p)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

(4p+q) (4q+p)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

(2p-q) (2q-p)


Let numbers be a & b

⟹ a,g,b in G.P. and a, p, q, b in A.P.

g2 = ab & p -a=q-p=b-q

we get a = 2p - q & b=2q-p

so g2 = (2p - q) (2q - p)


flag
Suggest Corrections
thumbs-up
14
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Harmonic Progression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon