Mathematics - Online Test
Q1. Let p and q be two propositions. Then the implication p→q is false ,when
Answer : Option C
Explaination / Solution:
Since T →F≡F
Q2.
The area bounded by the curves and the x- axis in the first quadrant is
Answer : Option A
Explaination / Solution:
To find area the curves y = and x = 2y + 3 and x – axis in the first quadrant., We have ;
,( y – 3 ) ( y + 1) = 0 . y = 3 , - 1 . In first quadrant , y = 3 and x = 9.
Therefore , required area is ;
,( y – 3 ) ( y + 1) = 0 . y = 3 , - 1 . In first quadrant , y = 3 and x = 9.
Therefore , required area is ;
Q3. Find the unit vector in the direction of the vector 
Answer : Option C
Explaination / Solution:
Q4. dx is equal to
Answer : Option B
Explaination / Solution:
Q5. The number of solutions of the equation is
Answer : Option D
Explaination / Solution:
hence there is only one solution
Q6. The axis of the parabola is
Answer : Option D
Explaination / Solution:
Comparing it with equation y2=4ax ,axis is y=0
so
we get 3y = 2.
Q7.
In a and the side a = 2, then area of the triangle is
Answer : Option B
Explaination / Solution:
Q8. The product of three consecutive natural numbers is divisible by
Answer : Option D
Explaination / Solution:
By replacing n by 1 we get 6.
Q9. The letters of the word ‘ MALENKOV ‘are arranged in all possible ways. The chance that there are exactly four letters between M and E is
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. A sphere through three non – collinear points A, B, and C is smallest when its centre is
Answer : Option B
Explaination / Solution:
No Explaination.
