CBSE 11TH MATHEMATICS - Online Test
Q1. Let A and B be two sets such that {tex}n(A)=35,n(B)=42\quad and\quad n(A\cap B)=17{/tex}, find {tex}n(A-B){/tex}
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. The inequality | z − 4 | < | z −2 | represents the region given by
Answer : Option D
Explaination / Solution:
Q3.
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:
Q4. What is the solution set for ?
Answer : Option D
Explaination / Solution:
Given
Multiplying both sides by LCM,we get
Solution set is
Q5. 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.
Q6. The next term of the sequence, 2, 6, 12, 20, …..is
Answer : Option D
Explaination / Solution:
nth term of given sequence is n(n+1)
so the 5th term is 5(5+1)=30
Q7. The S.D. of the observations 22,26,28,20,24,30 is
Answer : Option C
Explaination / Solution:
Q8. The distance of the point ( x, y ) from the origin is
Answer : Option A
Explaination / Solution:
Distance between two points is given by
Therefore the distance from the origin to the point (x,y) is =
Q9. Let p and q be two prepositions given by P : The sky is blue, q : Milk is white, Then , p and q is
Answer : Option D
Explaination / Solution:
using conjunction to combine statement
Q10. If x -1 , then the statement is true for
Answer : Option D
Explaination / Solution:
For example , if x = 0 and n > 1 , say n = 2 then the given inequality will become 12 > 1 , which is not true. Hence both the conditions on x and n are needed.
