 Hello and welcome to the session. Let us understand the following problem today. If determinant x to 18x is equal to 6 to 182, then x is equal to a6b plus minus 6c minus 6d0. Now that is the solution given to us is determinant x to 18x is equal to 6 to 182. Now consider determinant on left hand side which is x to 18x which in solving will give x square minus 18 into 2 which is equal to x square minus 36. Now consider determinant on the right hand side which is 6 to 186 which in solving will give 6 into 6 minus 18 into 2 which is equal to 36 minus 36 which is equal to 0. Now equating LHS is equal to RHS which implies x square minus 36 is equal to 0 which implies x square is equal to 36 which implies x is equal to plus minus 6. Therefore we have got x is equal to plus minus 6 and hence the correct answer is b. I hope you understood the problem by and have a nice day.