Mathematics - Online Test
Q1. Identify the solution set for ?
Answer : Option D
Explaination / Solution:
Q2. Ltx→0[cosx]
Answer : Option B
Explaination / Solution:
Q3. A maximum or a minimum may not exist for a linear programming problem if
Answer : Option B
Explaination / Solution:
A maximum or a minimum may not exist for a linear programming problem if The feasible region is unbounded .
Q4. The sum of 40 A.M.’s between two number is 120. The sum of 50 A.M.’s between them is equal to
Answer : Option B
Explaination / Solution:
sum of n number of A.M's between two numbers a and b is given by
so,
therefore sum of 50 A.M's between a and b is,
Q5. If the two lines of regression of a bivariate distribution coincide, then the correlation coefficient ρ satisfies.
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. Let A = {1, 2, 3}, then the relation R = {(1, 1), (2, 2), (1, 3)} on A is
Answer : Option C
Explaination / Solution:
The given relation is not reflexive , as (3,3)∉R, The given relation is not symmetric , as (1,3)∈ R , but (3,1) ∉R, , The given relation is transitive as (1,1) )∈ R and (1,3) )∈R.
Q7. The straight lines x + y = 0 , 3x - y – 4 = 0 , x + 3y – 4 = 0 form a triangle which is
Answer : Option A
Explaination / Solution:
The lines formed by these lines is right angled, triangle.
Two lines are perpendicular to each other if the product od their slopes is -1
Slope of the lines 3x - y – 4 = 0 , x + 3y – 4 = 0 are 3 and -1/3 respectively.
The product of these slopes is -1
Hence the lines3x - y – 4 = 0 , x + 3y – 4 = 0 are perpendicular to each other.
Therefore the triangle formed by these lines is a right angled triangle.
Q8. Let p and q be two prepositions given by p : I have the raincoat, q : I can walk in rain. The compound proposition “ If I have the raincoat , then I can walk in the rain “ is represented by
Answer : Option C
Explaination / Solution:
If then means an implication statement .hence we rewrite as p→q
Q9. (cot x) dx is equal to
Answer : Option A
Explaination / Solution:
Q10. Coinitial Vectors are
Answer : Option D
Explaination / Solution:
Two vectors whose initial point is same are called co- initial vectors.
