CBSE 11TH MATHEMATICS - Online Test

Q1. The mean and S.D. of 1,2,3,4,5,6 is
Answer : Option C
Explaination / Solution:



Q2. Three points A , B and C are collinear if the area of triangle ABC is
Answer : Option D
Explaination / Solution:

Only non collinear points can form a triangle. Hence if the three points are collinear a triangle cannot be formed, hence the area of the triangle is zero

Q3. Let p and q be two propositions. Then the contrapositive of the implication p→q is
Answer : Option A
Explaination / Solution:

The contrapositive of p→q≡∼q→∼p

Q4. The locus of a variable point whose distance from the point ( 2, 0) is  times its distance from the line  is
Answer : Option A
Explaination / Solution:

Let the point be (x,y)

Hence (x-2)2 + (y-0)2 = 

(x- 2)2 + y2 = (x - 9/2)

On simplifying we get the equation of an ellipse


Q5. In a triangle ABC, if a, b, c are in A. P., then tan  are in
Answer : Option A
Explaination / Solution:



Q6. The nth terms of the series 4+14+30+52+80+114+….. is =
Answer : Option B
Explaination / Solution:

When n = 1 we get 3. When n = 2 we get 12+2= 14...

Q7. Three prizes are distributed among three persons at random. The chances that none of the persons gets all the prizes is
Answer : Option B
Explaination / Solution:
No Explaination.


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

The equation  which represent generally YZ plane i.e. X=0 plane

Q9. The number of ways, in which a student can choose 5 courses out of 8 courses, when 2 courses are compulsory, is
Answer : Option B
Explaination / Solution:

Total number of courses available=8

Number of courses which are not compulsary=8-2=6

Since two courses are compulsory a student can choose them in  different ways.

The remaining 3 courses can be chosen from the  6 non-compulsory courses in 

Therefore total number of ways=.=


Q10. The complex number z which satisfies lies on
Answer : Option C
Explaination / Solution:


which is the X-axis.