If three successive terms of a G.P with common ratio r(r>1),form the sides of a triangle ABC and [r] denotes greater integer function then |[r]+[−r]| is

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Detailed Solution

a+ar>ar2 since sum of two sides of a triangle is greater than the third side→r2−r−1<01−521⇒[r]=1 Also −(1+5)2<−r<−1→[−r]=−2∴|[r]+[−r]|==1

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