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Test: Matrices & Determinants - 4 - Mathematics MCQ
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20 Questions MCQ Test Mathematics for Competitive Exams - Test: Matrices & Determinants - 4
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Test: Matrices & Determinants - 4 - Question 1
The values of θ lying between 0 and (π/2) and satisfying the equation 
= 0 are
= 0 are
Test: Matrices & Determinants - 4 - Question 2
If a, b and c (all positive) are the pth, qth and rth terms of a geometric progression, then 
is equal to
is equal to
Detailed Solution for Test: Matrices & Determinants - 4 - Question 2
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is
Test: Matrices & Determinants - 4 - Question 4
If B is a non-singular matrix and A is a square matrix, then det(B−1 AB) is equal to
are
is equal to
then the value of 
is 
then D is equal to
then A3 - 4A2 is equal to
then
is
Test: Matrices & Determinants - 4 - Question 12
If 3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0 be a system of equations, then
Test: Matrices & Determinants - 4 - Question 13
For what value of λ, the system of equations 3x - y + z = 0, 15x - 6y + 5z = 0, x - 2y + 2z = 0 has a non-zero solution?
Test: Matrices & Determinants - 4 - Question 14
For positive numbers x, y and z, the numerical value of 
is
then f(100) is equal to
Test: Matrices & Determinants - 4 - Question 16
If f(x), g(x) and h(x) are three polynomials of degree 2, then φ (x) = 
is a polynomial of degree
Test: Matrices & Determinants - 4 - Question 17
For what value of λ, the system of equations x + y + z = 6, x + 2y + 3z = 10, x + 2y + λz = 12 is inconsistent?
is equal to
Test: Matrices & Determinants - 4 - Question 19
If x, y, z are in A.P., then the value of the determinant 
is
where 0 < θ < 2π. Then|
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