The number of solutions of the system of equations 2x + y - z = 7, x - 3y + 2z = 1 and x + 4y - 3z = 5 is
0
1
2
3
Let R = {(1, 1), (1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is
a function
transitive
not symmetric
reflexive
At which point the function f(x) = , where [.] is greatest integer function, is discontinuous ?
Only positve integers
All postive and negative integers and (0,1)
all rational numbers
None of these
The function y = is continuous for any x but it is not differentiable at
only x = 0
only x =
only x =
x =
If two sides of a triangle are given, then the area of the triangle will be maximum, if. the angle between the given sides is
If f(x) = , then the points of local maxima for the function f(x) are
1, 3
- 3, 1
- 1, 3
- 1, - 3
The adjacent sides of a rectangle with given parameter as 200 cm and enclosing minimum area are
20 cm and 80 cm
50 cm and 50 cm40 cm and 60 cm
50 cm and 50 cm
30 cm and 70 cm