Mathematics - Online Test
Q1. The solution of the system x
+ y − 3x = −6 , − 7y + 7z = 7 , 3z =
9 is
Answer : Option A
Explaination / Solution:
Q2.
If n is a +ve integer, then the binomial coefficients equidistant from the beginning and the end in the expansion of are
Answer : Option A
Explaination / Solution:
Q3. Which of the following equation is the locus of
(at2, 2at)
Answer : Option D
Explaination / Solution:
Q4. 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:
Q5. In ΔLMN, ∠L = 60°, ∠M = 50° . If ΔLMN ~ ΔPQR then the
value of ∠R is
Answer : Option B
Explaination / Solution:
Q6. If a vector 
lies in the plane of 
and 
, then
lies in the plane of and , then
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is
Answer : Option A
Explaination / Solution:
Q8. What is the solution set for ?
Answer : Option D
Explaination / Solution:
Given
Multiplying both sides by LCM,we get
Solution set is
Q9. Which of the following types of problems cannot be solved by linear programming methods
Answer : Option A
Explaination / Solution:
Traffic signal control types of problems cannot be solved by linear programming methods, because there is no need for optimization in such problems.
Q10. is equal to
Answer : Option D
Explaination / Solution:
Since when we put x=0, we get 0/0 form, So we have to use D'L hospital rule :
Do the differentiation of numerator and denominator partially w.r.t x , we get :
By putting x=0 directly, we get 0.
