If the minimum and the maximum values of the function f:[ (π)/4,(π)/2 ] → R, defined by f(θ) = | - sin ²θ - 1 - sin ²θ 1 - cos ²θ - 1 - cos ²θ 1 12 10 - 2 | are m and M respectively, then the ordered pair (m,M) is equal to:

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Morning shift · Q4460

JEE Main 20205 Sep, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

If the minimum and the maximum values of the function

f:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to R

, defined by

f\left( \theta \right) = \left| {\matrix{ { - {{\sin }^2}\theta } & { - 1 - {{\sin }^2}\theta } & 1 \cr { - {{\cos }^2}\theta } & { - 1 - {{\cos }^2}\theta } & 1 \cr {12} & {10} & { - 2} \cr } } \right|

are m and M respectively, then the ordered pair (m,M) is equal to :

JEE Main 2020 · 5 Sep, Morning shift · Q4460

JEE Main 20205 Sep, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

If the minimum and the maximum values of the function

f:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to R

, defined by

f\left( \theta \right) = \left| {\matrix{ { - {{\sin }^2}\theta } & { - 1 - {{\sin }^2}\theta } & 1 \cr { - {{\cos }^2}\theta } & { - 1 - {{\cos }^2}\theta } & 1 \cr {12} & {10} & { - 2} \cr } } \right|

are m and M respectively, then the ordered pair (m,M) is equal to :