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question mark

3 distinct numbers x y z form an gp in that order and the numbers 7x+5y , 7y+5z , 7z+5x form an ap in that order. the common ratio of gp.
options
-4
-2
10
18

kartik , 6 Years ago
Grade 11
anser 1 Answers
Saurabh Koranglekar

Last Activity: 6 Years ago

Dear student

Let the ratio be r

First using AP
14y+ 10z = 12x+5y+7z

9y+3z=12x
3y+z=4x divide by y
3+ (1/r)= 4r
r= -0.25,1

Therefore r can be -4

Regards
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