Mathematics - Online Test
Q1. 
Answer : Option C
Explaination / Solution:
Q2. A line is drawn through the points ( 3 , 4 ) and ( 5 , 6 ) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point is
Answer : Option D
Explaination / Solution:
The slope of the given line is = = 1
Therefore = 1
That is 4+1 = 3 - x
Therefore x = -2
Q3. Negation of the statement p→(q∧r) is
Answer : Option D
Explaination / Solution:
= since
=
Q4. The Laplace transform of 
The Laplace transform of 
is
The Laplace transform of is
Answer : Option B
Explaination / Solution:
Q5. dx is equal to
Answer : Option D
Explaination / Solution:
Q6. If two vectors have their corresponding direction cosines equal then the two vectors
Answer : Option B
Explaination / Solution:
If the direction cosines of two vectors are same , then the vectors are said to be parallel.
Q7. If P(A) = , P(B) = and P(A ∪ B) = find P(A|B)
Answer : Option B
Explaination / Solution:
Q8.
is equal to
Answer : Option B
Explaination / Solution:
cot−1x=θ⇒x=cotθ⇒cotθ=x1sin(cot−1x)=sinθ=Perp.Hyp.=1x2+1√.
Q9.
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:
Q10. 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
