Q. 20

If ax = by = cz, x ≠ 0, y ≠ 0, z ≠ 0 and b2 = ac, then show that are in A.P.

Let ax = by = cz = k.

We know that if am = k, then a = .

a = , b = , c =

Given, b2 = ac

= ×

We know that (am)n = amn and am × an = am + n.

=

Bases are same, so we equate the powers.

= +

+ = +

- = -

We know that when t1, t2, t3 … are in A.P., t3 – t2 = t2 – t1

, and are in A.P.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz:Euclid's Division Lemma44 mins
Fundamental Theorem of Arithmetic-238 mins
Champ Quiz | Fundamental Principle Of Arithmetic41 mins
Fundamental Theorem of Arithmetic- 143 mins
Euclids Division Lemma49 mins
Quiz | Imp Qs on Real Numbers37 mins
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Application of Euclids Division Lemma50 mins
Relation Between LCM , HCF and Numbers46 mins
Quiz | Fun with Fundamental Theorem of Arithmetic51 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses