CBSE 11TH MATHEMATICS - Online Test
Q1. If are non-real cube roots of unity then + equals
Answer : Option C
Explaination / Solution:
If are non-real cube roots of unity then we have either
Q2. The coefficient of in the expansion of is
Answer : Option A
Explaination / Solution:
Q3. The number of proper subsets of the set { 1, 2 , 3 } is :
Answer : Option B
Explaination / Solution:
The no of proper subsets=2n-1=23-1=7
Here n=no of elements of given set=3
Q5. If a , b , c are real numbers such that a ≥ b , c > 0, then
Answer : Option D
Explaination / Solution:
The inequality remains same if both sides of an inequality are multiplied by the same positive real number.
Q6. If be the arithmetic mean between two distinct positive reals a and b then the value of n is
Answer : Option C
Explaination / Solution:
Q7. A man travels at a speed of 20 km/hour and then return at a speed of 30 km/hour. His average speed of the whole journey is
Answer : Option A
Explaination / Solution:
average speed for whole journey is the H.M between 20 and 30
therefore, average speed km/hr
Q8. 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)
Q9. Which of the following proposition is a tautology ?
Answer : Option B
Explaination / Solution:
and Associative law
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
