Let a_1,a_2,a_3 , ... , a_{10} be in G.P. with a_i > 0 for i = 1 , 2 , ... , 10 and S be the set of pairs (r , k) , r k ∊ N (set of natural numbers) for which |\table log_e a_1^r a_2^k,log_e a_2^ra_3^k , log_e a_3^r a_4^k;log_e a_4^r a_5^k,log_e a_5^ra_6^k , log_e a_6^r a_7^k;log_e a_7^r a_8^k,log_e a_8^ra_9^k , log_e a_9^r a_{10}^k| = 10 Then the number of elements in S, is : [10 Jan 2019 Shift 2]

Correct Answer is : Infinitely many

JEE Main 10 Jan 2019 Shift 2 Solved Paper

Section: Mathematics

Question : 32 of 90

Marks: +1, -0

Let a1,a2,a3 , ... , a10 be in G.P. with ai > 0 for i = 1 , 2 , ... , 10 and S be the set of pairs (r , k) , r k ∊ N (set of natural numbers) for which

logea1ra2k	logea2ra3k	logea3ra4k
logea4ra5k	logea5ra6k	logea6ra7k
logea7ra8k	logea8ra9k	logea9ra10k

= 10
Then the number of elements in S, is :

[10 Jan 2019 Shift 2]

Infinitely many
4
10
2

Validate

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