Maths - Online Test
Q1. The general solution of the differential
equation 
is
is
Answer : Option C
Explaination / Solution:
Q2. The polynomial x3
− kx2 + 9x has three real zeros if and only if, k satisfies
Answer : Option D
Explaination / Solution:
Q3. If sin-1 x +
sin-1 y + sin-1z = 3π / 2 , the value
of x2017 + y2018 + z2019
– [ 9/ (x101 + y101
+ z101)] is
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. Let X
represent the difference between the number of heads and the number of tails
obtained when a coin is tossed n
times. Then the possible values of X are
Answer : Option B
Explaination / Solution:
Q5. The centre of the circle
inscribed in a square formed by the lines x2 − 8x −12
= 0 and y2 −14 y + 45 = 0 is
Answer : Option A
Explaination / Solution:
Q6. The volume of the parallelepiped with its edges
represented by the vectors iˆ + ˆj, iˆ + 2 ˆj, iˆ + ˆj + π kˆ is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. The slope of the line normal to the curve f (x) = 2 cos 4x at x = π/12 is
Answer : Option C
Explaination / Solution:
Q8. If P= 
is the adjoint of 3× 3 matrix A and | A |= 4 , then x is
is the adjoint of 3× 3 matrix A and | A |= 4 , then x is
Answer : Option D
Explaination / Solution:
Q9. If we measure the side of a cube to be 4 cm with
an error of 0.1 cm, then the error in our calculation of the volume is
Answer : Option D
Explaination / Solution:
Q10. If | z − 2 + i | ≤ 2 , then the greatest
value of | z | is
Answer : Option D
Explaination / Solution:
