Mathematics - Online Test
Q1. The eccentricity of the hyperbola is
Answer : Option C
Explaination / Solution:
above equation can be written as,
comparing it with the standard equation we get a=3 and b=3
as c=
we get c= 3
and as e =
we get e =
Q2. Which of the following statements is incorrect ?
Answer : Option B
Explaination / Solution:
which is not possible since is a periodic function whose value oscillates between -1 and 1
Q3.
The statement is true for all
Answer : Option A
Explaination / Solution:
When n = 1 8<3, is not true. When n = 2 16<9, is false. When n = 3 32<27, is not valid. But when n = 4 64<81, is true.
Q4. 8 coins are tossed at a time. The probability of getting atleast 6 heads up is
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. Three planes x + y = 0 , y + z = 0 , and x + z = 0
Answer : Option B
Explaination / Solution:
Explanation:
x + y = 0 (1)
y + z = 0 (2)
x + z = 0 (3)
Subtracting 1 and 2 we get x-z=0 (4)
adding 3 and 4 we get x-0,y=0 and z=0
Q6. 
Answer : Option B
Explaination / Solution:
Q7. The number of ways of dividing 52 cards equally into 4 sets is
Answer : Option C
Explaination / Solution:
If 4n things are to form 4 equal groups then the numbers of ways are
Hence number of ways to divide 52 cards to form 4 groups of 13 cards each =
Q8. is equal to
Answer : Option A
Explaination / Solution:
Q9. Find the distance of the point (3, – 2, 1) from the plane 2x – y + 2z + 3 = 0
Answer : Option B
Explaination / Solution:
Q10.
If then is equal to
Answer : Option D
Explaination / Solution:
