Mathematics - Online Test
Q1. 
Choose the correct expression for f(x) given in the graph.
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. Four distinct points and (0, 0) lie on a circle for
Answer : Option B
Explaination / Solution:
Because equation of circle will be x2 + y2 - x - y =0 which is a quadratic equation and by putting the given fourth point we will get two different values of lemda.
Proof: let equation of cirle be 
As (1,0) (0,1) and (0,0) lie on circle ,we get
Comparing (i) and (iii) ,we get h=
Comparing (ii) and (iii) we get k=
putting value of h and k in (iii) we get
hence we get equation of circle as 
now putting in above circle ,we get
which is quadratic and will give 2 values of
Q3. Differential coefficient of a function f (g (x)) w.r.t. the function g (x) is
Answer : Option C
Explaination / Solution:
dd(g(x))(f(g(x))=f′(g(x))
Q4. he general solution of tan 3x = 1 is (n ∈ I)
Answer : Option A
Explaination / Solution:
Q5. If is divisible by c , when n is odd but not when n is even , then the value of c is :
Answer : Option C
Explaination / Solution:
Since a+b will be a factor of an +bn.
Q6. A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ is
Answer : Option D
Explaination / Solution:
Total no. of outcomes = 6={2,2,2,6,6,6}
p(getting a six)=3/6=1/2
Q7. The plane x + y = 0 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. Adj.(KA) = ….
Answer : Option B
Explaination / Solution:
Adj.A , where K is a scalar and A is a n x n matrix.
Q9. On a railway track, there are 20 stations. The number of tickets required in order that it may be possible to book a passenger from every station to every other is
Answer : Option C
Explaination / Solution:
Given that there are 20 stations in the network .
Hence from each station 19 different tickets are possible
Therefore from 20 stations the number of different tickets possible=19 X 20=380
Q10. Equation of a plane passing through three non collinear points (x1, y1, z1),(x2, y2, z2) and (x3, y3, z3) is
Answer : Option D
Explaination / Solution:
In cartesian co – ordinate system : Equation of a plane passing through three non collinear points (x1, y1, z1),(x2, y2, z2) and (x3, y3, z3) is given by : 
