Let $$A=110$$,$$19$$,$$18$$,………,$$13$$,$$12$$,$$1$$,$$2$$,$$3$$,$$4$$,……$$.8$$,$$9$$,$$10$$, then the number of ordered pairs (a$$,$$b) such that a,b∈A and

Correct option is 4All the above

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$Let A = \{\frac{1}{10}, \frac{1}{9}, \frac{1}{8}, \dots \dots \dots, \frac{1}{3}, \frac{1}{2}, 1, 2, 3, 4, \dots \dots .8, 9, 10\}, then the number of ordered pairs (a, b) such that a, b \in A and$

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logb a≤0 is 180

logb a>0 is 162

logb a<0 is 162

All the above

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detailed solution

Correct option is D

logb⁡a<0 if a>1,01 Number of pairs (a,b)= 9C1×9C1×2=162logb⁡a=0 if a=1,b≠1,b>0 Number of pairs (a,b)=18logb⁡a≤0⇒ number of ordered pairs (a,b)=180logb⁡a>0 if a>1,b>1 (or) 0

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2023 | www.infinitylearn.com

Let A=110,19,18,………,13,12,1,2,3,4,…….8,9,10, then the number of ordered pairs (a,b) such that a,b∈A and

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$Let A = \{\frac{1}{10}, \frac{1}{9}, \frac{1}{8}, \dots \dots \dots, \frac{1}{3}, \frac{1}{2}, 1, 2, 3, 4, \dots \dots .8, 9, 10\}, then the number of ordered pairs (a, b) such that a, b \in A and$