CBSE 12TH MATHEMATICS - Online Test
Q1. 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 .
Q2. 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.
Q4. Coinitial Vectors are
Answer : Option D
Explaination / Solution:
Two vectors whose initial point is same are called co- initial vectors.
Q5. If E and F are independent, then
Answer : Option A
Explaination / Solution:
we know that
If E and F are independent, then P(E/F) = P(E) and P(F/E) = P(F)
P (E ∩ F) = P (E) P (F).
Q6. The period of the function f(x)=tan3x is
Answer : Option A
Explaination / Solution:
, as the period of tanx =
Q7.
is equal to
Answer : Option D
Explaination / Solution:
( using L’Hospital Rule)
Q8. Determine order and degree (if defined) of + 3s = 0
Answer : Option C
Explaination / Solution:
Order = 2 , degree = 1.Since the equation has as the highest derivative term.its order is 2 and its index is 1
Q9. Vector equation of a line that passes through the given point whose position vector is and parallel to a given vector is
Answer : Option A
Explaination / Solution:
Vector equation of a line that passes through the given point whose position vector is and parallel to a given vector is given by : 
Q10.
The area enclosed by the curve is
Answer : Option A
Explaination / Solution:
Required area :
$= = == =
$= = == =
