MathematicsMedium178×since 2002Q5248If a, b, c are in A.P. and a², b², c² are in G.P. such that a < b < c and a + b + c = 34,{3 \over 4},43, then the value of a is :A14−142{1 \over 4} - {1 \over {4\sqrt 2 }}41−421B14−132{1 \over 4} - {1 \over {3\sqrt 2 }}41−321C14−122{1 \over 4} - {1 \over {2\sqrt 2 }}41−221D14−12{1 \over 4} - {1 \over {\sqrt 2 }}41−21Check answerSkip