Questions
If the sum of three numbers in G.P. is 63 and the product of the first and the second term is of the third term, then the numbers are
detailed solution
Correct option is A
Let the three numbers be a, ar,ar2Given a+ar+ar2=63-------------- (1)and a⋅ar=34⋅ar2 or a=34r------------------(2)putting in (1) 34r+34r⋅r+34r⋅r2=63or r3+r2+r−84=0 or (r−4)r2+5r+21=0∴ r=4,−5±25−842∴ Real value of r is 4. Putting this value in (2), a=34×4=3∴The three numbers are 3,3×4,3×42,i e 3, 12, 48.Similar Questions
If the roots of the equation,
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