The number of distinct real roots of the equation, vmatrix x & x & x x & x & x x & x & x vmatrix = 0 in the interval [- 4, 4 ] is :

JEE Main 2016 Mathematics question

Not in JEE Main syllabus

The number of distinct real roots of the equation, in the interval is :

Answer: (3)

The matrix has the special form with every diagonal entry and every off-diagonal entry , for which the determinant factorises as

(a-+2b) = ( x- x+2 x).

(This follows by adding all rows to the first, which produces a common factor , then

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Question ID VK-115572