Let 0 (x, )= | array ccc x & & - & -x & 1 & 1 & x array | then

Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants

1. ∆ (0, θ) = 0
2. ∆ (x, π/4) = x² + 1
3. \(\operatorname{Min}_{0<\theta<\pi / 2} \Delta(1, \theta)=2\)
4. ∆ (x, θ) is independent of x

Answer

(A) ∆ (0, θ ) = 0

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• If f (x) = | array ccc 1+ ^ 2 x & ^ 2 x & 4 2 x ^ 2 x & 1+ ^ 2 x & 4 2 x ^ 2 x & ^ 2 x & 1+4 2 x array | , f…
• The no. of distinct real roots of | array ccc x & x & x x & x & x x & x & x array |=0 in the interval is
• Let X and Y be two arbitrary, 3 × 3 non-zero, skew-symmetric matrices and Z be an arbitrary 3 × 3, non-zero…
• Let S be the set of all column matrices [ array l b_ 1 b_ 2 b_ 3 array ] such that b 1 , b 2 , b 3 ∈ R and…
• Let ∆ = 0 and ∆ c denotes the determinant of cofactors, then ∆ c = ∆ n – 1 , where n (> 0) is the order of ∆…
• D = | array lll a & 1 & 1 1 & b & 1 1 & 1 & c array | = 0, then the value of 1 1-a + 1 1-b + 1 1-c is :
• If = | array ccc e ^ x & x & 1 x & _ e (1+ x ^ 2 ) & 1 x & x ^ 2 & 1 array |= a + bx + cx ^ 2 then
• If E(θ) = [ array cc ^ 2 & & ^ 2 array ] and θ and φ differ by an odd multiple of π/2, then E(θ). E(φ) is a

More Matrices and Determinants questions · Browse all practice questions