CBSE 11TH MATHEMATICS - Online Test

Q1. For all odd positive integers n , the number  is divisible by :
Answer : Option B
Explaination / Solution:

When n = 1 we have 0 : When n = 2 we have 24. When n = 3 we have 120 .....where all these values are multiples of 24.

Q2. Three of the 6 vertices of a regular hexagon are chosen at random .The probability that the triangle with these vertices is equilateral is
Answer : Option A
Explaination / Solution:
No Explaination.


Q3. The equation  represents
Answer : Option B
Explaination / Solution:

The equation   which represent generally XY plane i.e the plane y=0

Q4. A convex polygon of n sides has n diagonals. Then value of n is
Answer : Option C
Explaination / Solution:

We have an n sided polygon has n vertices.

If you join every distinct pair of vertices you will get  lines.

These  lines account for the n sides of the polygon as well as for the diagonals.

So the number of diagonals is given by 

But given number of  sides = number of diagonals =n


 


Q5. The equation 
Answer : Option D
Explaination / Solution:



Q6.

The sum of coefficients  of 1st, 2nd, and 3rd in the expansion of  is  46, find n


Answer : Option A
Explaination / Solution:



Q7. Which of the following is a set?
Answer : Option A
Explaination / Solution:

The set is{a,e,i,o,u}

Q8.  f (x) is
Answer : Option B
Explaination / Solution:

At x=1,

L.H.L.1

R.H.L.2

L.H.L. R.H.L.

Therefore function is not continuous at x=1 which is why it is not derivable at x=1


Q9. The solution set for : 
Answer : Option B
Explaination / Solution:



Q10. An A.P. consists of n (odd) terms and its middle term is m. Then the sum of the A.P. is
Answer : Option D
Explaination / Solution: