Mathematics - Online Test
Q1. Find the vector equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).
Answer : Option C
Explaination / Solution:
Here , and
Therefore , the vector equation is :
i.e..
Therefore , the vector equation is :
i.e..
Q2. The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is
Answer : Option B
Explaination / Solution:
Total possibilities of 5 digit numbers which can be formed using the given digits are 5!= 120 ways.
But since the number should be greater than 56000 we cannot have the numbers starting with 4 or 54
The combinations in which the number 4 comes at the start is 4! = 24 ways.
The combinations in which the number 54 comes at the start is 2! = 6
Hence the numbers greater than 56,000 = 120 - ( 24+ 6) = 120 - 30 = 90 ways.
Q3. General solution of
Answer : Option C
Explaination / Solution:
Since
Q4.
The line is
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. Ifthen (adj A)=
Answer : Option C
Explaination / Solution:
Q6. If ( x + iy ) ( 3 – 4i ) = (5 + 12i ) , then
Answer : Option B
Explaination / Solution:
Q7. is nearly equal to
Answer : Option A
Explaination / Solution:
Q8. Let A = { 1,2,3,4 } then total number of subsets of A are given by
Answer : Option A
Explaination / Solution:
Total no of subsets=2n=24=16
Here n is the Cardinal no of the Given Set
Q9. For the curve tangent is parallel to X – axis where
Answer : Option D
Explaination / Solution:
dydx=0⇒dydt=0⇒2t−1=0⇒t=12.
Q10. The area bounded by the curves y = - 1 and y = - + 1 is
Answer : Option A
Explaination / Solution:
The graph of modulus function is V-shaped graph. Therefore , from graph , the area is = √2 × √2 =2.
