Mathematics - Online Test
Q1. 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.
Q2. For the differential equation 
with initial conditions x(0) = 1 and 
the solution is
with initial conditions x(0) = 1 and the solution is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. 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
Q4. A box contains 100 tickets numbered 1, 2, 3, ….100. Two tickets are chosen at random. If it is given that the maximum number on the two chosen tickets is not more than 10, then the probability that the minimum number on them is not less than 5 is
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. The points ( 1, 2 , 3 ) , ( - 1, -1 , - 1 ) and ( 3, 5 , 7 ) are the vertices of
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. For the set of equations
The following statement is true
Answer : Option D
Explaination / Solution:
No Explaination.
Q7.
The domain of the function f (x) = is
Answer : Option B
Explaination / Solution:
this exists only if
Q8. Let A and B be two independent events. The probability that both A and B occur is and the probability that neither A nor B occurs is . The respective probabilities of A and B are
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. The trace and determinant of a 2 × 2 matrix are known to be –2 and –35 respectively. It’s Eigenvalues are
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. Let x be any real, then [x + y] = [x] + [y] holds for
Answer : Option D
Explaination / Solution:
