Maths - Online Test

Q1. If  then the value of x is
Answer : Option D
Explaination / Solution:


Q2. If in 6 trials, X is a binomial variable which follows the relation 9P(X=4) = P(X=2), then the probability of success is
Answer : Option B
Explaination / Solution:



Q3. An ellipse has OB as semi minor axes, F and F ′ its foci and the angle FBF ′ is a right angle. Then the eccentricity of the ellipse is
Answer : Option A
Explaination / Solution:


Q4. Determine the truth value of each of the following statements:

(a) 4 + 2 = 5 and 6 + 3 = 9

(b) 3+ 2 = 5 and 6 + 1 = 7

(b) 4 + 5 = 9 and 1+ 2 = 4

(d) 3+ 2 = 5 and 4 + 7 =11

Answer : Option A
Explaination / Solution:

a) F and T=F
b) T and T=T
c) T and F=F
d) T and T=T

Q5. Distance from the origin to the plane 3x - 6 y + 2z + 7 = 0 is
Answer : Option B
Explaination / Solution:
No Explaination.


Q6. The point of inflection of the curve y = (x −1)3 is
Answer : Option C
Explaination / Solution:



Q7.

Which of the following is/are correct?

(i) Adjoint of a symmetric matrix is also a symmetric matrix.

(ii) Adjoint of a diagonal matrix is also a diagonal matrix.

(iii) If A is a square matrix of order n and λ is a scalar, then adj( λ A) =  λn adj( A) .

(iv) A(adjA) = (adjA) A =| A | I

Answer : Option D
Explaination / Solution:


Q8. The principal argument of the complex number  is
Answer : Option D
Explaination / Solution:


Q9. The value of   is
Answer : Option B
Explaination / Solution:



Q10. The number of arbitrary constants in the particular solution of a differential equation of third order is
Answer : Option D
Explaination / Solution:
No Explaination.