Mathematics - Online Test
Q1. The domain of the function is
Answer : Option D
Explaination / Solution:
This function exists only if
cosx−1≥0
⇒cosx≥1
⇒cosx>1
OR
cosx=1
since maximum value of cosine function is 1 so, cos x >1 is not possible
Q2. 
Answer : Option A
Explaination / Solution:
Q3.
If sin 2 = cos 3 , then is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. In a three dimensional space, the equation 3x – 4y = 0 represents
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. For a normal distribution, we have
Answer : Option D
Explaination / Solution:
As in normal distribution, the curve is symmetric and unimodal. So, mean is at peak, mode is also at peak and median as well.
Q7.
The domain of the function is
Answer : Option A
Explaination / Solution:
this function exists only if
it is true
so domain of f(x) is R
Q8. In a single throw of two dice, the probability of getting a total of 7 or 9 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. The coordinates of the foot of perpendicular from the point A ( 1, 1 , 1 ) , on the line joining the points B ( 1 , 4 , 6 ) and C ( 5 , 4 , 4 ) are
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. The domain of the function is
Answer : Option D
Explaination / Solution:
this function exists only if
1−cosx≥0
⇒cosx≤1
it is possible ∀x∈R
