JEE Main 2006Annual, Paper 1MathematicsMediumSequence and Series179× since 2002Let a1{a_1}a1, a2{a_2}a2, a3{a_3}a3.....be terms on A.P. If a1+a2+.....apa1+a2+.....aq=p2q2, p≠q, then a6a21 {{{a_1} + {a_2} + .....{a_p}} \over {{a_1} + {a_2} + .....{a_q}}} = {{{p^2}} \over {{q^2}}},\,p \ne q,\,then\,{{{a_6}} \over {{a_{21}}}}\,a1+a2+.....aqa1+a2+.....ap=q2p2,p=q,thena21a6 equalsAOption A. 4111{{41} \over {11}}1141BOption B. 72{7 \over 2}27COption C. 27{2 \over 7}72DOption D. 1141{{11} \over {41}}4111CheckSkip · show solution