TN 12TH MATHS - Online Test
Q1.
A rod of length 2l
is broken into two pieces at random. The probability density function of the
shorter of the two pieces is
The mean and variance of the shorter of the two pieces are respectively
Answer : Option D
Explaination / Solution:
Q2. The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance between the foci is
Answer : Option C
Explaination / Solution:
Q3. Subtraction is not a binary operation in
Answer : Option C
Explaination / Solution:
Q4. If a vector 
lies in the plane of 
and 
, then
lies in the plane of and , then
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. The position of a particle moving along a
horizontal line of any time t is
given by s (t) = 3t2 − 2t − 8 . The time at which the particle is at rest is
Answer : Option B
Explaination / Solution:
Q6. If A = 
, B = adj A and C = 3A , then 
=
, B = adj A and C = 3A , then =
Answer : Option B
Explaination / Solution:
Q7. If u (
x, y ) = ex2+y2 , then ∂u/∂x
is equal to
Answer : Option B
Explaination / Solution:
Q8. The area of the triangle
formed by the complex numbers z, iz, and z + iz in the Argand’s diagram is
Answer : Option A
Explaination / Solution:
Q9. For any value of 
is
is
Answer : Option C
Explaination / Solution:
Q10. The order and degree of the differential
equation √sin x ( dx +
dy ) = √cos x ( dx −
dy) is
Answer : Option C
Explaination / Solution:
