Mathematics - Online Test
Q1. Determine the maximum value of Z = 3x + 4y if the feasible region (shaded) for a LPP is shown in Figure above.
Answer : Option B
Explaination / Solution:
Here , maximize Z = 3x+4y ,
Corner points | Z = 3x + 4 y |
C( 0 ,38 ) | 132 |
B ( 52 ,0) | 156 |
D(44 , 16) | 196 ………………….(Max.) |
Hence the maximum value is 196
Q2. The domain of the function
Answer : Option C
Explaination / Solution:
The domain of the function f(x) is all reals,because f(x) is defined for all real values of x.
Q3. The roots of the equation 
Answer : Option C
Explaination / Solution:
Q4. If a , b , c are in A . P. then straight line ax + by + c = 0 will always pass through a fixed point whose coordinates are
Answer : Option D
Explaination / Solution:
Since a,b,c are in A.P,
a+c = 2b
This implies a-2b+c = 0
This implies the the family of lines is concurrent at (1,2)
Q5. Which of the following proposition is a tautology ?
Answer : Option B
Explaination / Solution:
and Associative law
Q6. The area bounded by the curves y = equal to
Answer : Option B
Explaination / Solution:
Q7.
If is the angle between two vectors 
then 
only when
Answer : Option D
Explaination / Solution:
Q8. is equal to
Answer : Option C
Explaination / Solution:
=2–√∫0πsinx2dx=2–√[−cosx212]π0=−22–√[cosπ2−cos0]=22.−−√
Q9. The solution of the equation is given by
Answer : Option A
Explaination / Solution:
x= -1/2 does not satisfy the given equation.
Q10. represents
Answer : Option B
Explaination / Solution:
Squaring both sides of both the equation ,we get
x2 = and y2 =
Subtracting one equation from another we get
x2 - y2 = 1 which is nothing but equation of hyperbola
