1.Let the numbers 222, bbb, ccc be in an A.P. andA=[1112bc4b2c2]A=\begin{bmatrix} 1 & 1 & 1 \\ 2 & b & c \\ 4 & b^{2} & c^{2} \end{bmatrix}A=1241bb21cc2If det(A)∈[2,16]\det(A)\in[2,16]det(A)∈[2,16], then ccc lies in the interval:a.[2,3)[2,3)[2,3)b.[4,6][4,6][4,6]c.[3,2+23/4][3,2+2^{3/4}][3,2+23/4]d.(2+23/4,4)(2+2^{3/4},4)(2+23/4,4)Login to continueOnly logged in users canattempt or see the solution.