Mathematics - Online Test
Q1. If is a non zero vector of magnitude ‘a’ and a non zero scalar, then is a unit vector if
Answer : Option B
Explaination / Solution:
is a unit vector if and only if is equal to .
Q2. dx is equal to
Answer : Option B
Explaination / Solution:
Q3.
Domain of f(x) =
Answer : Option A
Explaination / Solution:
,
Q4. A and B are two distinct points, Locus of a point P satisfying |PA| + | PB | = 2k, a constant is
Answer : Option A
Explaination / Solution:
Since the value of k is not specified, we cannot get a specific equation.
Q5.
In a , a = 4, b = 3 and A = ; then c is a root of the equation
Answer : Option C
Explaination / Solution:
Q6. For is divisible by
Answer : Option A
Explaination / Solution:
When n = 1 we get 64. When n = 2 we get 704 which is divisible by 64......... By the principle of mathematical induction it is divisible by 64.
Q7. The letters of the word ‘ ORIENTAL ‘ are arranged in all possible ways . The chance that the consonants and vowels occur alternately is
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. There is one and only one sphere through
Answer : Option B
Explaination / Solution:
Yes , it is true because if we assume 2 sphere or more than that they wil coincide
Q9.
If A and B are square matrices of the same order, then implies
Answer : Option C
Explaination / Solution:
If A and B are square matrices of same order , then , product of the matrices is not commutative.Therefore , the given result is true only when AB = BA.
Q10. 20 students can compete for a race. The number of ways in which they can win the first three places is (given that no two students finish in the same place)
Answer : Option D
Explaination / Solution:
for first place we have 20 students, for second we have 19 and for the third we have 18
20P3=20*19*18
