CBSE 11TH MATHEMATICS - Online Test

Q1. up to n terms is equal to
Answer : Option A
Explaination / Solution:

By the process of mathematical induction when n = 1 we have 1/15. When n = 2 we have LHS : 1/15+1/35=2/21, RHS :2/(3(4+3))=2/21, which is true

Q2. The probability that a card drawn at random from a pack of 52 cards is a king or a heart is
Answer : Option C
Explaination / Solution:
No Explaination.


Q3. The equations of y axis are
Answer : Option A
Explaination / Solution:

Since on Y axis x and z coordinate are 0 . So , Equations of Y axis are X=0 and Z=0

Q4. Number of all 4 digit numbers with distinct digits is
Answer : Option D
Explaination / Solution:

To form a four digit number  with distinct digits we can use any four digits from the digits 0,1,2,3,4,5,6,7,8,9 without repetition 

Since 0 cannot come as the first digit of a four digit number( then it will be a three digit number) the first place can be filled by any of the 9  digits other than 0.

Now we have 9 more digits  left and since  repetition is not allowed the second place can by filled by any of these 9 digits

Similarly the third and fourth can be filled by any of the  8 and 7 digits respectively

Hence we get the four  places can be filled  together by  different ways.


Q5. If z = x + yi ; x ,y  R, then locus of the equation 

 R and b  C, b  0 are fixed, is


Answer : Option B
Explaination / Solution:


which is a straight line

Q6.  If in the binomial expansion of   the sum of 5th and 6th terms are 0, then  is
Answer : Option A
Explaination / Solution:



Q7. Let A = { a ,b ,c } , B = { a, b } , C = { a, b, d } , D = { c , d } and E = { d } . Then which of the following statement is not correct ?
Answer : Option C
Explaination / Solution:



Q8. If x = f(t) and y = g (t), then  is qual to
Answer : Option D
Explaination / Solution:



Q9. Solve : 3x + 5 < x − 7, when x is a real number
Answer : Option D
Explaination / Solution:



Q10.

If a, b, c, d , e are in G. P., then  equals


Answer : Option D
Explaination / Solution: