SERIES

IF XA=XB/2ZB/2=ZC,THEN PROVE THAT 1/A,1/B,1/C ARE IN A.P.

7 Answers

1
°ღ•๓яυΠ·

edited

11
rkrish ·

@mrunal.......

how do u get A=B/2=C

i think the ques. is X^A = (X.Z)^B/2 = Z^C

1
JOHNCENA IS BACK ·

HOW DID U GET THAT>

1
JOHNCENA IS BACK ·

YES

11
rkrish ·

This is simple....................

X^A = Z^C
X = Z^(C/A)
Z^C = (X.Z)^B/2 = [ Z^(C/A + 1) ]^B/2 = Z^{(A+C)B/2A}

C = (A+C)B/2A
AC/(A+C) = B/2
(A+C)/AC = 2/B

(1/A + 1/C)/2 = 1/B

Hence 1/A,1/B & 1/C are in A.P.

1
JOHNCENA IS BACK ·

NICE.................ACTUALLY THIS ONE WAS NOT MY DOUBT :) GOOD JOB

1
JOHNCENA IS BACK ·

THE KEY IDEA WAS THAT............ONCE U REALIZE THAT U CAN EXPLICITY REDUCE GIVEN INFO TO ONLY ONE VARIABLE Z//////////IT WUD BE EASY OFF............. :)

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