Maths - Online Test
Q1. If the function f (x) = 1/12 for a < x < b , represents
a probability density function of a continuous random variable X, then which of the following cannot be
the value of a and b?
Answer : Option D
Explaination / Solution:
Q2. The equation of the normal
to the circle x2 + y2 − 2x − 2 y +1
= 0 which is parallel to the line 2x + 4 y = 3
is
Answer : Option A
Explaination / Solution:
Q3. If a ∗ b = √(a2
+b2) on the real numbers then * is
Answer : Option C
Explaination / Solution:
Q4. If 
and 
are unit vectors such
that [, b, × b ] = π/4, then the angle between and is
and are unit vectors such
that [, b, × b ] = π/4, then the angle between and is
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. The tangent to the curve y2 − xy + 9 =
0 is vertical when
Answer : Option D
Explaination / Solution:
Q6. If A= 
, and A−1 = 
then the value of a23
is
, and A−1 = then the value of a23
is
Answer : Option D
Explaination / Solution:
Q7. The change in the surface area S = 6x2 of a cube when the edge
length varies from x0 to x0 + dx is
Answer : Option B
Explaination / Solution:
Q8. If 
, then the least
value of | z | is
, then the least
value of | z | is
Answer : Option A
Explaination / Solution:
Q9. The area between y2 = 4x and its latus rectum is
Answer : Option C
Explaination / Solution:
Q10.
The
solution of 
is
Answer : Option B
Explaination / Solution:
