Mathematics - Online Test

Q1. The general solution of  is
Answer : Option A
Explaination / Solution:
No Explaination.


Q2. What is the value of the definite integral
Answer : Option B
Explaination / Solution:
No Explaination.


Q3. The equation  can be transformed to  by substituting
Answer : Option D
Explaination / Solution:
No Explaination.


Q4. The value of  is
Answer : Option A
Explaination / Solution:
No Explaination.


Q5. If  and  are two arbitrary vectors with magnitudes a and b, respectively,  will be equal to
Answer : Option A
Explaination / Solution:
No Explaination.


Q6. Solution of dy/dx = -x/y at x = 1 and y = √3 is
Answer : Option D
Explaination / Solution:
No Explaination.


Q7. The solution of the differential equation with the condition that y = 1 at x = 1, is
Answer : Option D
Explaination / Solution:
No Explaination.


Q8. If probability density function of random variable X is
f(x) = x2 for -1 ≤ x ≤ 1, and 
      = 0 for any other value of x
then, the percentage probability P(-1/3 ≤ x ≤ 1/3)
Answer : Option B
Explaination / Solution:
No Explaination.


Q9. The Eigen values of the matrix  are
Answer : Option B
Explaination / Solution:
No Explaination.


Q10. The following simultaneous equations x + y + z = 3, x + 2y + 3z = 4, and x + 4y + kz = 6 will NOT have a unique solution for k equal to
Answer : Option D
Explaination / Solution:
No Explaination.