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Q.

Assertion (A) : The maximum value of log1/3(x2-4x+5) is 0
Reason (R) : If x>0 and 0<a<1 then logax is a decreasing function

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a

A is false, R is true

b

Both A and R are true and R is the correct explanation of A

c

Both A and R are true and R is not the correct explanation of A

d

A is true, R is false

answer is B.

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Detailed Solution

A:let fx=x2-4x+5 =x-22+1 1

log1/3 x2-4x+5 =log3-1x-22+1 -log31 0

Min value = 0

R:x>0  0<a<1 logax is decreasing

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Assertion (A) : The maximum value of log1/3(x2-4x+5) is 0Reason (R) : If x>0 and 0<a<1 then logax is a decreasing function