Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Matrices and Determinants question

2019 · 10 Jan · Shift 1 · Q32
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2019 · 10 Jan · Shift 1 · Q32

Matrices and Determinants question

2019 · 10 Jan · Shift 1 · Q32

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let d ∈\in∈ R, and A=[−24+d(sin⁡θ)−21(sin⁡θ)+2d5(2sin⁡θ)−d(−sin⁡θ)+2+2d],θ∈[0,2π]A = \left[ {\begin{matrix} { - 2} & {4 + d} & {\left( {\sin \theta } \right) - 2} \\ 1 & {\left( {\sin \theta } \right) + 2} & d \\ 5 & {\left( {2\sin \theta } \right) - d} & {\left( { - \sin \theta } \right) + 2 + 2d} \\ \end{matrix} } \right],\theta \in \left[ {0,2\pi } \right]A=​−215​4+d(sinθ)+2(2sinθ)−d​(sinθ)−2d(−sinθ)+2+2d​​,θ∈[0,2π] If the minimum value of det(A) is 8, then a value of d is -
  1. A
    −-− 7
  2. B
    2(2+2)2\left( {\sqrt 2 + 2} \right)2(2​+2)
  3. C
    −-− 5
  4. D
    2(2+1)2\left( {\sqrt 2 + 1} \right)2(2​+1)
PreviousNext

More from Matrices and Determinants

  • The number of values of θ∈(0, π) for which the system of linear equations x + 3y + 7z = 0 − x + 4y + 7z = 0 (sin3 θ)x + (cos2 θ)y + 2z = 0. has a non-trival solution, is -2019 · MCQ
  • Let A = ​2b1​bb2+1b​1b2​​ where b > 0. Then the minimum value of bdet(A)​ is -2019 · MCQ
  • Let A = ​0pp​2qq−q​r−rr​​. If AAT = I3, then ∣p∣ is :2019 · MCQ
  • If the system of linear equations 2x + 2y + 3z = a 3x – y + 5z = b x – 3y + 2z = c where a, b, c are non zero real numbers, has more one solution, then :2019 · MCQ
  • If ​a−b−c2b2c​2ab−c−a2c​2a2bc−a−b​​= (a + b + c) (x + a + b + c)2, x e 0, then x is equal to :2019 · MCQ
  • If B=​50α​2α23​11−1​​ is the inverse of a 3 × 3 matrix A, then the sum of all values of α for which det(A) + 1 = 0,…2019 · MCQ
  • If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = [25​3−1​], then AB is equal to :2019 · MCQ
  • A value of θ∈(0,3π​), for which ​1+cos2θcos2θcos2θ​sin2θ1+sin2θsin2θ​4cos6θ4cos6θ1+4cos6θ​​=0…2019 · MCQ