Mathematics - Online Test

Q1. ∫log x dx is equal to
Answer : Option C
Explaination / Solution:



Q2. If f (x) be a function such thatthen f (x) is equal to
Answer : Option A
Explaination / Solution:

Integrating both sides, we get 

+ C

Q3. Find the sum of the vectors 
Answer : Option C
Explaination / Solution:

We have:
vectors 


Q4. holds true for all
Answer : Option D
Explaination / Solution:

This is true for all real values of x ∈[0,1].

Q5.

The line y = m x + c is a normal to the circle 


Answer : Option A
Explaination / Solution:

 has center (-g,-f)

As normal passes through center so center will satisfy the equation of normal

put y=-f and x=-g in equation of the line y=mx+c

-f = m(-g) +c

which gives mg =f+c.


Q6. If x and  then  is equal to
Answer : Option D
Explaination / Solution:



Q7. The maximum value of sin  in the interval  is attained at
Answer : Option D
Explaination / Solution:



Q8. 1 + 2  + 3 + .................. n = , is trure
Answer : Option A
Explaination / Solution:

BY the process of mathematical induction , the given statement is true for all natural numbers n.

Q9. Neelam and Nidhi throw with a dice .The chance that both Neelam and Nidhi throw the same number is
Answer : Option A
Explaination / Solution:

TOTAL NO. OF OUTCOMES=62=36

no. of outcomes in which both throws same no.={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}=6

p(both throws same no.)=6/36=1/6


Q10.  The lines 
Answer : Option A
Explaination / Solution:
No Explaination.