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CBSE - Class 11 Mathematics Mathematics Worksheet
Hero's formula is used to measure __________ of the triangle ?
interior angles
b.area
c.exterior angles
d.sides
If the centroid of a triangle, whose vertices are (1,2,-3), (b,0,1) and (-1,1,-4), is (1,1,a). Evaluate the value of a-b.
-9
b.-4
c.8
d.-5
The sum of cube roots of unity is
1
b.-1
c.0
d.i
Set A = {1,2,3,4}, B = {3,4,5,6}, C = {4,5,6,7}. A ∩ (B ∪ C) = ?
{3,4}
b.{4,5}
c.{1,2,3}
d.{1,2,3,4}
.
.
b..
c..
d..
Which of the following relation gives Fibonacci sequence?
an = an-1 + an-2
b.an = an+1 + an-2
c.an-2 = an + an-1
d.an-1 = an + an-2
find value of cosec(-1200)
-√3/2
b.-2/√3
c.1/2
d.-1/√2
The eccentricity of rectangular hyperbola is
2
b.1
c.0.5
d.√2
Test 1
Find k, if the points (8,k,-7), (5,4,2) and (6,2,-1) are collinear.
-2
b.-5
c.11
d.5
Let S = set of points inside the square, T= set of points inside the triangle & C = set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then
Test 2
cos 8x=
2sin^2(4x)-1
b.2cos^2x-1
c.2cos^2(4x)-1
d.2cos^2(8x)-1
If , then
equal to
equal to
equal to
equal to
the Range of the function 
[-1/2,1/2]
b.(-1/2,1/2)
c.[-1/2,1/4]
d.[0,1/2]
The expression
-1
b.√3
c.1/√3
d.1
Find the length of the side of the square, if two opposite verices of a square are (2,-3,4) and (4,1,-2).
units
units
units
units
find the value of sin (5Π/3)
-√3/2
b.3/2
c.√3/2
d.-1/2
A line has how many end points
Two
b.One
c.No
d.Un countable
Let n(A)= m, & n(B)=n. Then the total number of non-empty relations that can be defined from A to B is
Worksheet Answers
Solution:
Hinglish:
Chalo isko step by step solve karte hain. Pehle B ∪ C nikalte hain. B ∪ C matlab dono sets ke saare unique elements: B={3,4,5,6}, C={4,5,6,7} → B ∪ C = {3,4,5,6,7}.
Ab A ∩ (B ∪ C) nikalna hai. A = {1,2,3,4}. Intersection ka matlab hai dono me common elements.
A ∩ (B ∪ C) = {1,2,3,4} ∩ {3,4,5,6,7} = {3,4} ✅
Ye concept hamesha yaad rakhna: Intersection = common elements, Union = saare unique elements.
Ye type ke questions me hamisha pehle union ya intersection nikalte hain aur phir step by step compare karte hain.
English:
Let’s solve this step by step. First, find B ∪ C. B ∪ C means all unique elements from both sets. B={3,4,5,6}, C={4,5,6,7} → B ∪ C = {3,4,5,6,7}.
Now, find A ∩ (B ∪ C). A={1,2,3,4}. Intersection means common elements in both sets.
A ∩ (B ∪ C) = {1,2,3,4} ∩ {3,4,5,6,7} = {3,4} ✅
Remember this concept: Intersection = common, Union = all unique. Always calculate step by step.
