CBSE 11TH MATHEMATICS - Online Test
Q1. The number of triangles that can be formed with 6 points on a circle is
Answer : Option D
Explaination / Solution:
To form a triangle 3 non collinear points are needed.
Number of ways of selecting 3 points out of 6 can be done in 6C3 = 20 ways.
Q2. The circles and
Answer : Option B
Explaination / Solution:
Circle touches externally if distance between the centers is equal to the sum of the radii .
After applying completing the square, we get
so the center is (-3,-3) and radius is
After applying completing the square
so the center is (6,6) and radius is
Distance between centres 
and sum of radii 
are equal.
and sum of radii are equal.Hence the circle touches externally.
Q3. If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is
Answer : Option C
Explaination / Solution:
Let the sides of the triangle be a=13,b=7 and c=8.
Since a is the longest side the greatest angle is A.
Using Cosine rule, we have
Q4. The medians of a triangle are concurrent at the point called
Answer : Option C
Explaination / Solution:
The centroid is the point of concurrency of the medians of the triangle.it is a point of centre of gravity of triangle
Q5. If A is any set , then
Answer : Option A
Explaination / Solution:
{tex}A \cup A' = \{ x \in U:x \in A\} \cup \{ x \in U:x \notin A\} = U{/tex}
Q6. If Z = then equals
Answer : Option C
Explaination / Solution:
Q7.
If the rth term in the expansion of contains then r =
Answer : Option A
Explaination / Solution:
Q8. Identify the solution set for .
Answer : Option B
Explaination / Solution:
Multiplying both sides byLCM ,we get
So solution set is
Q9. Let f (x) = x sin, x0, then the value of the function at x = 0, so that f is continuous at x = 0, is
Answer : Option D
Explaination / Solution:
Here, if we directly put x= 0, f(0) = 0 * sin (1/0) = 0.
At L.H.L, put x=0-h ,f(0-h) = = 0.
At R.H.L, put x = 0+h , , f(0+h) = = 0.
Hence, L.H.L = f(0) = R.H.L.
f(x) is continuous at x=0.
Q10. The next term of the series is
Answer : Option B
Explaination / Solution:
Terms of given sequence can be written as
so the required term is 33/32
