# Chapter 7: Matrices and Determinants - Online Test

Q1. The value of x, for which the matrix A = is singular is
Answer : Option B
Explaination / Solution: Q2. If the points (x, −2), (5, 2), (8,8) are collinear, then x is equal to
Answer : Option D
Explaination / Solution: Q3. If = abc/2 ≠ 0, then the area of the triangle whose vertices are is
Answer : Option C
Explaination / Solution: Q4. If the square of the matrix is the unit matrix of order 2, then α, β and γ should satisfy the relation.
Answer : Option B
Explaination / Solution: Q5. If is
Answer : Option D
Explaination / Solution: Q6. A root of the equation = 0 is
Answer : Option C
Explaination / Solution: Q7. The value of the determinant of A is
Answer : Option C
Explaination / Solution: 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
Answer : Option D
Explaination / Solution: 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
Answer : Option A
Explaination / Solution: Q10. If a ≠ b, b, c satisfy = 0, then abc =
Answer : Option C
Explaination / Solution: 