Mathematics - Online Test

Q1. How many lines through the origin make equal angles with the coordinate axes ?
Answer : Option C
Explaination / Solution:


hence the lines will be 8

Q2. The number of all the possible matrices of order 2 × 2 with each entry 0, 1 or 2 is
Answer : Option A
Explaination / Solution:

The number of elements in a 2 x 2 matrix is the product 2 x 2 =4

Each element can either be a 0,1 or 2.

Given this, the total possible matrices that can be selected is 34


Q3. The function f (x) = 2 – 3 x is
Answer : Option C
Explaination / Solution:

f (x) = 2 – 3x f ‘ (x) = - 3 < 0 for all x  R . so, f is strictly decreasing function.

Q4. If A and B be any two sets , then (A∩B) ‘ is equal to
Answer : Option B
Explaination / Solution:



Q5. If  then a and b are respectively :
Answer : Option A
Explaination / Solution:



Q6. If A and B are square matrices of order 3 , then
Answer : Option C
Explaination / Solution:

If A B be two square matrices of order 3 and if |B|=0, AB=0 then this is possible only if |A| may be zero

Q7. The largest term in the expansion of  when  is
Answer : Option B
Explaination / Solution:



Q8. Identify the solution set for 
Answer : Option D
Explaination / Solution:



Q9.  is equal to
Answer : Option C
Explaination / Solution:



Q10. In linear programming, optimal solution
Answer : Option D
Explaination / Solution:

In linear programming, any point in the feasible region which gives that gives the optimal value (maximum or minimum) of the objective function is called optimal solution. In other words, it satisfies all the constraints as well as the objective function .