Home
Class 10
MATHS
Three Non-zero numbers a, b and c will b...

Three Non-zero numbers a, b and c will be in G.P. If and only if ____.

Text Solution

Verified by Experts

The correct Answer is:
`b^(2)=ac`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    SURA PUBLICATION|Exercise Unit Test|12 Videos

  • GEOMETRY

    SURA PUBLICATION|Exercise Unit Test (Section -D)|2 Videos

Similar Questions

Explore conceptually related problems

Three numbers a, b and c will be in A.P. if and only if ____.

Three non zero numbers a, b, c are in A.P. Increasing a by 1 or increasing c by 2, the number become in G.P then b equals

If non-zero numbers a, b, c are in H.P., then the straight line (x)/(a)+(y)/(b)+(1)/(c)=0 always passes through a fixed point. That point is

If three positive real numbers a, b, c are in A.P and abc = 4 , then the minimum possible value of b is

Suppose three real numbers a , b , c are in G.P. Let z=(a+ib)/(c-ib) . Then

Three numbers form an increasing G.P. If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P. is

If a,b, and c are in G.P then a+b,2b and b+ c are in

Prove that if a,b,c are in H.P. if and only if (a)/c = (a-b)/(b-c)

Three numbers from an increasing G.P. If the middle term is doubled the new number are in A.P. The common ratio of G.P will be

If a , b, c, … are in G.P. then 2a,2b,2c,… are in ….