CBSE 11TH MATHEMATICS - Online Test
Q1. Which of the following is true for the propositions p and q ?
Answer : Option D
Explaination / Solution:
only F∨F≡F
Hence ∼F≡T
Q2. A student was asked to prove a statement P ( n ) by method of induction . He proved that P ( 3 ) is true and that P(n)⇒P(n+1) for all natural numbers n . On the basis of this the criteria applied on n for P ( n ) to be true
Answer : Option A
Explaination / Solution:
Since by the principle of mathematical induction if p( n ) is true for n = 3 then that will be the minimum point to be considered for the process.Also that P ( n ) ⇒P(n+1)
Q3. The value of k, such that the equation represents a point circle, is
Answer : Option B
Explaination / Solution:
which gives radius 
for a point circle radius should be zero.
for a point circle radius should be zero.hence 
solving which we get k=
Q4. A fair dice is rolled n times. The number of all the possible outcomes is
Answer : Option C
Explaination / Solution:
each time there are 6 possibilities, therefore for n times there are 6n possibilities.
Q5. If then cot B + cot C - cot A =
Answer : Option C
Explaination / Solution:
Q6. The equation xy = 0 in three dimensional space represents
Answer : Option B
Explaination / Solution:
since xy=0 implies x=0 or y=0.i.e YZ plane or XZ plane.Hence it represents a pair of planes at right angles
Q7. Two sets A and B are said to be disjoint iff
Answer : Option D
Explaination / Solution:
Two sets are called disjoint if and only if these two set have no common element i.e A∩B=∅
Q8. z + if and only if
Answer : Option A
Explaination / Solution:
Let Z=x+iy then we have
So
Now z +
Q9. If 2nd, 3rd and 4th terms in the expansion of are 240, 720 and 1080 respectively, then the value of n is
Answer : Option A
Explaination / Solution:
Q10. In the first three papers each of 100 marks , Rishi got 95 , 72 , 83 marks . If he wants an average of greater than or equal to 75 marks and less than 80 marks, find the range of marks he should score in the 4th paper .
Answer : Option D
Explaination / Solution:
et the marks scored by Rishi in the fourth paper be x.
Then
Multipling the inequality throughout by 4 ,we get
