CBSE 12TH MATHEMATICS - Online Test
Q1. The area bounded by the curve and y – axis is equal to
Answer : Option B
Explaination / Solution:
Required area :
= = =sq.units
Q2. In a LPP, the objective function is always
Answer : Option B
Explaination / Solution:
In a LPP, the objective function is always linear. this is because these problems are always subjected to linear inequalities, where we maximise or minimise the linear functions.
Q3.
Let f (x) = then f (x) is strictly decreasing in
Answer : Option D
Explaination / Solution:
Hence , f is strictly increasing on [1,3].
Hence , f is strictly increasing on [1,3].
Q4. A relation R on a non – empty set A is an equivalence relation iff it is
Answer : Option B
Explaination / Solution:
By definition of Equivalence Relation,a relation is said to be equivalence if it is reflexive,symmetric and transitive
Q5. 
Answer : Option D
Explaination / Solution:
because , the value of the determinant is zero only when , the two of its rows or column are identical., Which is possible only when Either x = 3 or x = 4 .
because , the value of the determinant is zero only when , the two of its rows or column are identical., Which is possible only when Either x = 3 or x = 4 .
Q6. is equal to
Answer : Option D
Explaination / Solution:
∫e−logxdx=∫elogx−1dx=∫x−1dx=log|x|+C
Q7. Correct form of distributive law is
Answer : Option B
Explaination / Solution:
Distributive law is given by :
Q8. The conditional probability of the event E', given that F has occurred is given by
Answer : Option C
Explaination / Solution:
we know that P(S/F) =1
P(E U E'|F)=1 since EUE' =S
P(E/F) +P(E'/F) =1 since E and E' are disjoint events
P(E'/F) = 1- P(E/F)
Q9. is
Answer : Option D
Explaination / Solution:
Because both lies in 3rd quadrant. In 3rd quadrant values of both sine and cosine functions are negative.
Q10. If f (x) is a polynomial of degree m (⩾1) , then which of the following is not true ?
Answer : Option D
Explaination / Solution:
As all the three remaining statements are true for the given function.
