Mathematics - Online Test
Q1. The domain of the function
Answer : Option C
Explaination / Solution:
The domain of the function f(x) is all reals,because f(x) is defined for all real values of x.
Q2. The roots of the equation 
Answer : Option C
Explaination / Solution:
Q3. If a , b , c are in A . P. then straight line ax + by + c = 0 will always pass through a fixed point whose coordinates are
Answer : Option D
Explaination / Solution:
Since a,b,c are in A.P,
a+c = 2b
This implies a-2b+c = 0
This implies the the family of lines is concurrent at (1,2)
Q4. Which of the following proposition is a tautology ?
Answer : Option B
Explaination / Solution:
and Associative law
Q5. The area bounded by the curves y = equal to
Answer : Option B
Explaination / Solution:
Q6.
If is the angle between two vectors 
then 
only when
Answer : Option D
Explaination / Solution:
Q7. is equal to
Answer : Option C
Explaination / Solution:
=2–√∫0πsinx2dx=2–√[−cosx212]π0=−22–√[cosπ2−cos0]=22.−−√
Q8. The solution of the equation is given by
Answer : Option A
Explaination / Solution:
x= -1/2 does not satisfy the given equation.
Q9. represents
Answer : Option B
Explaination / Solution:
Squaring both sides of both the equation ,we get
x2 = and y2 =
Subtracting one equation from another we get
x2 - y2 = 1 which is nothing but equation of hyperbola
Q10.
The value of the expression tan tan tan … tan is equal to
Answer : Option A
Explaination / Solution:
No Explaination.
