CBSE 11TH MATHEMATICS - Online Test
Q1. The term containing in the expansion of is
Answer : Option B
Explaination / Solution:
Q2. Identify the solution set for ?
Answer : Option D
Explaination / Solution:
Q4. The sum of 40 A.M.’s between two number is 120. The sum of 50 A.M.’s between them is equal to
Answer : Option B
Explaination / Solution:
sum of n number of A.M's between two numbers a and b is given by
so,
therefore sum of 50 A.M's between a and b is,
Q5. If the two lines of regression of a bivariate distribution coincide, then the correlation coefficient ρ satisfies.
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. The straight lines x + y = 0 , 3x - y – 4 = 0 , x + 3y – 4 = 0 form a triangle which is
Answer : Option A
Explaination / Solution:
The lines formed by these lines is right angled, triangle.
Two lines are perpendicular to each other if the product od their slopes is -1
Slope of the lines 3x - y – 4 = 0 , x + 3y – 4 = 0 are 3 and -1/3 respectively.
The product of these slopes is -1
Hence the lines3x - y – 4 = 0 , x + 3y – 4 = 0 are perpendicular to each other.
Therefore the triangle formed by these lines is a right angled triangle.
Q7. Let p and q be two prepositions given by p : I have the raincoat, q : I can walk in rain. The compound proposition “ If I have the raincoat , then I can walk in the rain “ is represented by
Answer : Option C
Explaination / Solution:
If then means an implication statement .hence we rewrite as p→q
Q8. The statement P ( n ) : “
“ is
Answer : Option C
Explaination / Solution:
Replace n = 1, 2 3 then LHS = RHS
Q9. The length of the chord joining the point ( 4 cos , 4 sin ) and 4 ( cos(+), 4 sin( + )) of the circle is
Answer : Option A
Explaination / Solution:
using distance formulae 
on simplifying we get, 
on simplifying we get,
Q10. The number of ways in which a necklace can be formed by using 5 identical red beads and 6 identical white beads is:
Answer : Option A
Explaination / Solution:
Total number of beads =11
We have 6 beads are alike and next 5 beads are also alike , also since it is a necklace it can be observed from both the sides .
Therefore required number of ways=
