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# ICSE Class 10 Answered

700002544_Topper_2_110_ ... 649_1516706377_4175.pdf (Topper learning's most important questions maths ) chapter11 question 3
Asked by sameeksha | 24 Feb, 2018, 08:11: AM
Expert Answer

If a,b,c are in AP it follows that

a+c=2b……..(1)

and a,x,b and b,y,c are in individual GPs which follows

x2 = ab …….(2)

y2 = bc ……..(3)

Adding eqn 2 and 3 we get,

x2+y2 = ab+bc

= b(a+c)

= b x 2b ( from eqn 1)

= 2b2

So we get x2+y2 = 2b2

which shows that x2 ,b,y2 are in AP......Question was incomplete will be replaced

Answered by Arun | 25 Feb, 2018, 11:35: AM

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