Mathematics - Online Test
Q1. is equal to
Answer : Option D
Explaination / Solution:
Q2. If, then x =
Answer : Option A
Explaination / Solution:
Because , ,
Q3. The area of the circle centred at (1,2) and passing through (4,6) is
Answer : Option C
Explaination / Solution:
Given centre = (1,2)
Therefore radius = = 5 units
Area of the circle is = sq units
Q4. Number of solutions of the equation tan x + sec x = 2 cos x. lying in the interval [0,2π] is
Answer : Option B
Explaination / Solution:
Q5. up to n terms is equal to
Answer : Option A
Explaination / Solution:
By the process of mathematical induction when n = 1 we have 1/15. When n = 2 we have LHS : 1/15+1/35=2/21, RHS :2/(3(4+3))=2/21, which is true
Q6. The probability that a card drawn at random from a pack of 52 cards is a king or a heart is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. The equations of y axis are
Answer : Option A
Explaination / Solution:
Since on Y axis x and z coordinate are 0 .
So , Equations of Y axis are X=0 and Z=0
Q8.
If A is square matrix such that , then is equal to
Answer : Option A
Explaination / Solution:
If A amd B are two square matrices of same order and the product AB= I, the matrix B is called inverse of matrix A.Therefore = I, then matrix A is the inverse of itself.
Q9. 
Let the probability density function of a random variable, X, be given as:
where u(x) is the unit step function.
Then the value of 'a' and Prob {X ≤ 0}, respectively, are
Answer : Option A
Explaination / Solution:
Q10. If , then is equal to
Answer : Option B
Explaination / Solution:
