Mathematics - Online Test
Q1. The statement is true for all
Answer : Option C
Explaination / Solution:
when n = 1 , , which is not true.When n = 2, , which is false as well. Also when n = 3 we get .When n = 4 , Hence it is trure frm n = 4 .
Q2. Let f (x) = [x], then f (x) is
Answer : Option A
Explaination / Solution:
f(x) = [x] is derivable at all x except at integral points i.e. on R – I .
Q3. The length of the common chord of the parabolas and is
Answer : Option D
Explaination / Solution:
point of intersection is (0,0) and (1,1). Hence by using the distance formula
=
Q4. A function f(x,y) is said to be homogenous function of degree n if
Answer : Option C
Explaination / Solution:
A function is homogenous if we can write in the form of where n is an whole number .
Q5. Shortest distance between two skew lines is
Answer : Option B
Explaination / Solution:
Shortest distance between two skew lines is The line segment perpendicular to both the lines .
Q6.
In a , Is equal to
Answer : Option D
Explaination / Solution:
Q7. There are 10 true-false questions. The number of ways in which they can be answered is
Answer : Option A
Explaination / Solution:
you can either choose true or false, therefore for 10 questions you will have 210 possibilities.
Q8. The angle between the lines x = 1 , y = 2 and y = - 1 , z = 0 is
Answer : Option B
Explaination / Solution:
x = 1 , y = 2 represents XY plane and y = - 1 , z = 0 represents YZ plane.Since XY perpendicular to YZ .hence angle is 90 degrees
Q9. If
Answer : Option C
Explaination / Solution:
If any row or column of a square matrix is 0 , then its product with itself is always a zero matrix.
Q10. Let f (x) = tan x – 4x, then in the interval is
Answer : Option C
Explaination / Solution:
