CBSE Class 11-science Answered
If a,b,c are in AP and Also in GP the value of a-c
Asked by rastogiunnati25 | 05 Jun, 2020, 09:20: AM
Expert Answer
a,b and c are A.P.
Therefore, (a+c)/2 = b
i.e. a+c = 2b
Squaring both the sides, we get
(a+c)2 = 4b2 ... (i)
a, b and c are in GP, therefore
sqrt{ac} = b
Squaring both sides, we get
ac = b2 ... (ii)
(a-c)2
= a2 + c2 - 2ac + 2ac - 2ac
= (a-c)2 - 4ac
= 4b2 - 4b2 ... Using (i) and (ii)
= 0
Hence, a-c = 0
Answered by Renu Varma | 05 Jun, 2020, 09:36: AM
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