Maths Chapter 4 – Determinants MCQ Question Answers for Various Entrance Exams

 

1.  If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then
a.
b.
c.
d.

2. Given that A is a square matrix of order 3 and |A| = -4, then |adj A| is equal to
a.
b.
c.
d.

3. If A is a square matrix of order 3 and |A| = 5, then the value of |2A′| is
a.
b.
c.
d.

4. System of equations AX = B is inconsistent if​
a.
b.
c.
d.

5. If A is an invertible matrix of order 2, then det (A–1) is equal to
a.
b.
c.
d.

6. Question
a.
b.
c.
d.

7. Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).
a.
b.
c.
d.

8. The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of ‘k’ will be:
a.
b.
c.
d.

9. If A is a square matrix of order 3 and |A| = 7 then |AT| =​
a.
b.
c.
d.

10. Question
a.
b.
c.
d.

11. Question
a.
b.
c.
d.

12. If the area of the triangle is 35 sq. units with vertices (2, -6), (5, 4) and (k, 4). Then k is
a.
b.
c.
d.

13. Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1.
a.
b.
c.
d.

14. Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).
a.
b.
c.
d.

15. Question
a.
b.
c.
d.

16. If A is a square matrix of order 3 and |A| = 5 then |3A| = ?​
a.
b.
c.
d.

17. The minor Mij of an element aij of a determinant is defined as the value of the determinant obtained after deleting the​
a.
b.
c.
d.

18. We can add two matrices having real numbers A and B if their
a.
b.
c.
d.

19. If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.
a.
b.
c.
d.

20. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.
a.
b.
c.
d.

21. Inverse of a matrix A exists, if​
a.
b.
c.
d.

22. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = …………….
a.
b.
c.
d.

23. For a given system of equations if |A|=0 and (adj A)B≠O(zero matrix), then which of the following is correct regarding the solutions of the given equations?
a.
b.
c.
d.

24. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).
a.
b.
c.
d.

25. Which of the following conditions holds true for a system of equations to be consistent?
a.
b.
c.
d.


 


 

Also See :