Questions
Let a,b,c be in A.P. and be in G.P.. Then the points and will be collinear if
a
x2=y
b
x=y=z
c
y2=z
d
x=z2
detailed solution
Correct option is B
Given that a,b,c are in A.P.⇒ a−b=b−cNow, (a,x),(b,y) and c,z are collinear.⇒x−ya−b=y−zb−c⇒x−yy−z=a−bb−c=1⇒x−y=y−zSo, x,y are in A.P. Thus x,y,z are in A.P. and also in G.P,∴x=y=zTalk to our academic expert!
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