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Question : 61 of 150
Marks:
+1,
-0
Solution:
x,y,z are in G.P.
⇒y2=xz....(i)
Also,
tan−1x,tan−1y,tan−1z are in A.P.
‌⇒2tan−1y=tan−1x+tan−1z‌⇒tan−1(‌)=tan−1(‌)‌⇒‌=‌‌⇒‌=‌‌‌...[‌ From (i)] ‌‌⇒2y=x+z ⇒x,y,z are in A.P......(ii)
From (i) and (ii), we get
x=y=z
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