Mathematics - Online Test
Q1. is equal to
Answer : Option D
Explaination / Solution:
∫e−logxdx=∫elogx−1dx=∫x−1dx=log|x|+C
Q2. Correct form of distributive law is
Answer : Option B
Explaination / Solution:
Distributive law is given by :
Q3. 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)
Q4. is
Answer : Option D
Explaination / Solution:
Because both lies in 3rd quadrant. In 3rd quadrant values of both sine and cosine functions are negative.
Q5. For each is divisible by :
Answer : Option B
Explaination / Solution:
When n = 1 we have a + b.And the subsequent substitution of n as 2,3,... will result in the expression whose factor is a + b.
Q6. 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.
Q7. The eccentricity of the conic is
Answer : Option D
Explaination / Solution:
Given 9x2 - 16y2 = 144
Dividing throughout by 144 we get,
- = 1
This implies a2 = 16 and b2 = 9
e = =
Q8. Particular solution of a given differential equation
Answer : Option C
Explaination / Solution:
Particular solution of a given differential equation does not contain arbitrary constants i.e. a,b ,c etc since the value of those arbitrary can be found out by subsituting the given values.
Q9.
Shortest distance between the lines and is
Answer : Option B
Explaination / Solution:
Shortest distance between the lines and is given by: 
Q10.
If cos A + cos B = 4, then the sides of the triangle ABC are in
Answer : Option B
Explaination / Solution:
