jee-main 2022 Q64

jee-main · India · session1_27jun_shift2 Arithmetic Sequences and Series Find Specific Term from Given Conditions
If $a _ { 1 } , a _ { 2 } , a _ { 3 } \ldots$ and $b _ { 1 } , b _ { 2 } , b _ { 3 } \ldots$ are A.P. and $a _ { 1 } = 2 , a _ { 10 } = 3 , a _ { 1 } b _ { 1 } = 1 = a _ { 10 } b _ { 10 }$ then $a _ { 4 } b _ { 4 }$ is equal to
(1) $\frac { 28 } { 27 }$
(2) $\frac { 28 } { 24 }$
(3) $\frac { 23 } { 26 }$
(4) $\frac { 22 } { 23 }$
If $a _ { 1 } , a _ { 2 } , a _ { 3 } \ldots$ and $b _ { 1 } , b _ { 2 } , b _ { 3 } \ldots$ are A.P. and $a _ { 1 } = 2 , a _ { 10 } = 3 , a _ { 1 } b _ { 1 } = 1 = a _ { 10 } b _ { 10 }$ then $a _ { 4 } b _ { 4 }$ is equal to\\
(1) $\frac { 28 } { 27 }$\\
(2) $\frac { 28 } { 24 }$\\
(3) $\frac { 23 } { 26 }$\\
(4) $\frac { 22 } { 23 }$