The number of distinct real roots of the equation, | cos x sin x sin x sin x cos x sin x sin x sin x cos x | = 0 in the interval [ - (π)/4,(π)/4 ] is:

Matrices and Determinants: JEE Main 2016 Mathematics question

JEE Main 2016 · 9 Apr, Morning shift · Q4442

JEE Main 20169 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

The number of distinct real roots of the equation,

\left| {\matrix{ {\cos x} & {\sin x} & {\sin x} \cr {\sin x} & {\cos x} & {\sin x} \cr {\sin x} & {\sin x} & {\cos x} \cr } } \right| = 0

in the interval

\left[ { - {\pi \over 4},{\pi \over 4}} \right]

is :

JEE Main 2016 · 9 Apr, Morning shift · Q4442

JEE Main 20169 Apr, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

The number of distinct real roots of the equation,

\left| {\matrix{ {\cos x} & {\sin x} & {\sin x} \cr {\sin x} & {\cos x} & {\sin x} \cr {\sin x} & {\sin x} & {\cos x} \cr } } \right| = 0

in the interval

\left[ { - {\pi \over 4},{\pi \over 4}} \right]

is :