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If are in A.P., then
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a
x=y−3
b
y=z−2
c
x=z3
d
None of these
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Correct option is C
Let d be the common difference of the A.P.then,logyx=1+d⇒x=y1+dlogzy=1+2d⇒y=z1+2d and −15logxz=1+3d⇒z=x−(1+3d)/15∴ x=y1+d=z(1+2d)(1+d) =x−(1+d)(1+2d)(1+3d)/15⇒ (1+d)(1+2d)(1+3d)=−15⇒ 6d3+11d2+6d+16=0⇒ (d+2)6d2−d+8=0⇒d=−2∴ x=y1+d=y−1,y=z1+2d=z−3 and x=z−3−1=z3.Similar Questions
If and 1 are in A.P, then x is equal to
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