CBSE 11TH MATHEMATICS - Online Test

Q1.

The middle term in the expansion of  is


Answer : Option D
Explaination / Solution:



Q2. If A and B are sets , then A ∩ ( B – A ) is
Answer : Option C
Explaination / Solution:



Q3.  is equal to
Answer : Option B
Explaination / Solution:



Q4. Solve the system of inequalities : 
Answer : Option C
Explaination / Solution:



Hence the solution  of the system  will be 

Q5. If a, b, c, d are in H.P., then ab + bc + cd is
Answer : Option D
Explaination / Solution:

using the property of H.M


multiplying the above equations, we get


now dividing by bc, 


 


Q6. If the variance of the data is V, then its S.D. is
Answer : Option D
Explaination / Solution:

standard deviation have the same units as the data but variance is mean of the square of differences.

Q7. If the points representing the complex numbers - 4 +3i , 2 – 3i and 0 + pi are collinear , then the value of p is
Answer : Option A
Explaination / Solution:

Let us take the coordinates as (-4,3), (2,-3) and (0,p).

If the points are collienear the |x1(y2 - y3) + x2(y3 - y1) + x3(y1-y2)| = 0

Now substituting the values |-4(-3 - p) +2(p -3) +0(3+3)|= 0

12 +4p +2p -6 +0 = 0

6p +6 = 0

6p = -6

Therefore p = -1


Q8. The contrapositive of p→(∼q→∼r) is
Answer : Option B
Explaination / Solution:

The contrapositive of p→q is ∼q→∼p

Q9.

The line y = m x + c is a normal to the circle 


Answer : Option A
Explaination / Solution:

 has center (-g,-f)

As normal passes through center so center will satisfy the equation of normal

put y=-f and x=-g in equation of the line y=mx+c

-f = m(-g) +c

which gives mg =f+c.


Q10. The maximum value of sin  in the interval  is attained at
Answer : Option D
Explaination / Solution: