Chapter 7: Matrices and Determinants - Online Test

Q1. The value of x, for which the matrix A =   is singular is
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Q2. If the points (x, −2), (5, 2), (8,8) are collinear, then x is equal to
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Q3. If    = abc/2 ≠ 0, then the area of the triangle whose vertices are  is
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Q4. If the square of the matrix  is the unit matrix of order 2, then α, β and γ should satisfy the relation.
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Q5. If   is
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Q6. A root of the equation  = 0 is
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Q7. The value of the determinant of A  is
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Q8. If  x1 , x2 , x3 as well as y1 , y 2 , y3 are in geometric progression with the same common ratio, then the points (x1 , y1 ), (x2 , y2 ), (x3 , y3) are
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Q9. If   denotes the greatest integer less than or equal to the real number under consideration and  −1 ≤ x < 0, 0 ≤ y < 1, 1 ≤ z < 2 , then the value of the determinant  is
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Q10. If a ≠ b, b, c satisfy  = 0, then abc =
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