CBSE 11TH MATHEMATICS - Online Test

Q1. then a, b, c, d are in
Answer : Option D
Explaination / Solution:



Q2. The S.D. of the first n natural numbers is
Answer : Option A
Explaination / Solution:

first n natural numbers are 1,2,3.....n

we know that, 

sum of sqaure is 



Q3.

The line which is parallel to X axis and crosses the curve y =  at an angle of  is:


Answer : Option B
Explaination / Solution:

The equation of the line which is a tangent to the curve y =  is 

y = mx + a/m

Since it makes and angle of 450, m = 1 

y2 = x implies a = 1/4

Hence the equation of the tangent is y = x+

That is the y intercept is  = 1/2

Hence the equation of the line is y = 1/2


Q4. Let p be the proposition : Mathematics is interesting and let q be the proposition that Mathematics is difficult, then the symbol p∧q means
Answer : Option A
Explaination / Solution:

using connective and for ∧

Q5. The vertex of the parabola  is
Answer : Option D
Explaination / Solution:

Let Y=y and X = x-a

for standard parbola Y2=4aX the vertex is (0,0)

so put X=0 and Y=0.

i.e. put x-a = 0 and y=0

so vertex is (a,0)


Q6.
In a triangle ABC, the line joining the circumcentre and the incentre is parallel to BC, then cos B + cos C =

Answer : Option B
Explaination / Solution:
No Explaination.


Q7. If n  N then  is divisible by
Answer : Option B
Explaination / Solution:

When n = 1 the value is 3 and when n = 2 the value is 12. So the value of the expression when n = 1,2,3.... are multiples of 3 . hence it is divisible by 3.

Q8. The probability that a teacher will give an unannounced test during any class is. If a student is absent twice, then the probability that he misses atleast one test is
Answer : Option B
Explaination / Solution:
No Explaination.


Q9. The plane XOZ divides the join of ( 1 , -1 , 5 ) and ( 2 , 3 ,4 ) in the ratio k : 1 , then the value of k is
Answer : Option B
Explaination / Solution:
No Explaination.


Q10. Find r if  
Answer : Option D
Explaination / Solution: