Mathematics - Online Test
Q1. Which of the following is logically equivalent to p↔q ?
Answer : Option B
Explaination / Solution:
By definition p↔q=(p→q)∧(q→p)
Q2. One value of ∫ f′(x) dx is
Answer : Option B
Explaination / Solution:
As therefore,one value of is f(x).
Q3. Magnitude of the vector 
is
is
Answer : Option D
Explaination / Solution:
We have : 
then , ∣∣a→∣∣=12+12+12−−−−−−−−−−√=3–√
then , ∣∣a→∣∣=12+12+12−−−−−−−−−−√=3–√
Q4. Two coins are tossed once ,where E : tail appears on one coin , F : one coin shows head. Find P(E/F).
Answer : Option C
Explaination / Solution:
Q5. is equal to
Answer : Option A
Explaination / Solution:
Q6. If f (x) = (1 – x) tan , then f(x) is equal to
Answer : Option A
Explaination / Solution:
Q7. For each n N , is divisible by :
Answer : Option A
Explaination / Solution:
When n = 1 the value is 7.
Q8. The line y = mx + 1 is a tangent to the parabola if m =
Answer : Option B
Explaination / Solution:
The contion for a line to be a tangent to the parabola is y = mx +
From the given equation of the parabola we infer that a = 1 and from the equation of the line c = 1
Therefore m = a/c = 1
Q9.
Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector.
Answer : Option D
Explaination / Solution:
The equation of the line which passes through the point (1, 2, 3) and is parallel to the vector
, let vector and vector ,
the equation of line is :
.
, let vector and vector ,
the equation of line is :
.
Q10. Angles of triangle are in A.P. If the number of degrees in the smallest to the number of radians in the largest is as 60:π, then the smallest angle is
Answer : Option A
Explaination / Solution:
