CBSE 11TH MATHEMATICS - Online Test

Q1. ρ(X,Y) is equal to
Answer : Option D
Explaination / Solution:

=
Q2. The locus of the inequation xy ≥ 0 is
Answer : Option C
Explaination / Solution:

It is the set of all points either in the 1st quadrant or in the 3rd quadrant including the points on coordiate axis. This is because the inequality  indicates that the points belong either to 1st or 3rd quadrant. 

Q3. The statement p→(q→p) is equivalent to
Answer : Option D
Explaination / Solution:


pq



TTTTTT
TFTTTT
FTFTTT
FFTFTT

 

 

 

 

Hence they are equivalent


Q4. The focus of the parabola  is
Answer : Option B
Explaination / Solution:


after completing the square we get,

Comparing the above equation with 

focus is (0,-a)

putting x co-ordinate =0 we get x-4=0

=> x=4

and y co-ordinate =-a we get 

=>y=4

hence (4,4) is the focus.


Q5.

If ( 1 + tan ) ( 1 + tan  ) = 2, then  + =


Answer : Option C
Explaination / Solution:



Q6. is divisible by :
Answer : Option D
Explaination / Solution:

put n = 1 we get 11 .

Q7. From a pack of 52 cards, the cards are drawn one by one till an ace appears. The chance that an ace does not come up in first 26 cards is
Answer : Option A
Explaination / Solution:
No Explaination.


Q8. The equation  represents
Answer : Option D
Explaination / Solution:

The equation  x=0 , y=  , z= 0 which represent Y axis

Q9. The number of all even divisors of 1600 is
Answer : Option B
Explaination / Solution:

We have 1600=

To form factors we have to do selections from a lot of 2's and 5's and multiply them together.

To form even factor we should choose at least one 2's from the lot , which will ensure that what ever be the remaining selection, their multiplication will always result in an even factor.

The number of ways to select atleast one ‘2’ from a lot of six  identical ‘2’s will be 6 (i.e. select 1 or select 2 or select 3 or select 4 or select 5 or select 6)

And, we’ll select any number of ‘5 from a lot of two   identical ‘5’s in 3 ways(select 0, select 1,select 2)

There fore the total number of selection of even factors=6x3=18
 


Q10. The points z = x + iy which satisfy the equation | z | = 1 lie on
Answer : Option B
Explaination / Solution:


which is the equation of a circle whose centre is origin and radius = 1