Mathematics - Online Test
Q1.
is equal to
Answer : Option B
Explaination / Solution:
cot−1x=θ⇒x=cotθ⇒cotθ=x1sin(cot−1x)=sinθ=Perp.Hyp.=1x2+1√.
Q2.
Let f (x + y) = f(x) + f(y) x, y Suppose that f (6) = 5 and f ‘ (0) = 1, then f ‘ (6) is equal to
Answer : Option B
Explaination / Solution:
Q3. The slope of the tangent at the point (a, a) of the circle is
Answer : Option C
Explaination / Solution:
the equation of the tangent is x+y=a. Hence its slope is -1
Q4. If the angles of at triangle are in the ratio 1 : 2 : 3, then the sides are in the ratio
Answer : Option B
Explaination / Solution:
Q5. Consider the statement P ( n ) : “ “ . Here for all natural numbers n . Does it mean
Answer : Option B
Explaination / Solution:
Since the statement is not true for n = 1 ,we cannot predict the validity for all natural numbers n.
Q6. Find the shortest distance between the lines 
Answer : Option C
Explaination / Solution:
The given equations can be reduced as: 
Q7. The equation 
Answer : Option A
Explaination / Solution:
The equation 
represent X- axis
represent X- axis x= , y= 0 ,z= 0 this is a general point on X axis , So given equation represent X axis
Q8. If A and B are two non-zero square matrices such that AB = 0, then
Answer : Option D
Explaination / Solution:
The product of two non-zero matrices can be a zero matrix iff one of the two given matrices should be singular.
Q9. Find Rank of word ‘wife ‘among the words that can be formed with its letters and arranged as in dictionary is
Answer : Option B
Explaination / Solution:
1.Arrange all the alphabets in alphabetical order ( E, F , I , W )
2. 4 alphabets can form 4! words = 24 words.
Q10. Find a particular solution of when
Answer : Option B
Explaination / Solution:
