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CBSE - Class 11 Mathematics Mathematics Worksheet
Order of the power set P(A) of a set A of order n is equal to:
n
b.2n
c.2n
d.n2
The number of proper subsets of the set {1, 2, 3} is
8
b.7
c.6
d.5
Find the hidden no.
2,10,84,?
1032
b.1124
c.1028
d.1229
$ \\ For \space 0 \leq P,Q \leq \frac{\pi}{2}, \text{If } \sin {P} + \sin{Q}=2, \text{then the value of } \tan{\left(\frac{P+Q}{2} \right)} \text{ is equal to }$
1
b.$-1$
c.$-\frac{1}{\sqrt 2}$
d.3
Which of the following two sets are equal?
A = {1, 2} and B = {1}
b.A = {1, 2} and B = {1, 2, 3}
c.A = {1, 2, 3} and B = {2, 1, 3}
d.A = {1, 2, 4} and B = {1, 2, 3}
If any point, P, lies on z-axis , then
Point on x-axis,
Point on y axis,
Point on z-axis,
Both A and B
The number of elements in the Power set P(S) of the set S = {1, 2, 3} is
4
b.8
c.2
d.16
Let n(A)= m, & n(B)=n. Then the total number of non-empty relations that can be defined from A to B is
If , where [.] denote greatest integer function, then
Find the differential equation of all parallel lines to YZ plane.
X= Constant
b.Y= Constant
c.Z= Constant
d.NONE
Two vertices of a triangle are (3,-5) and (-7,4). If its centroid is (4,1),Find the third vertex.
(16,4)
b.(10,-1)
c.(10,3)
d.(4,16)
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
Q: ∫₀² 3x dx
2
b.4
c.6
d.8
if A+B = ∏/4 ,find the value of (1+tan A)(1+tan B)
1
b.-2
c.2
d.-1
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,
4, 7
b.7, 4
c.4, 4
d.7, 7
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}
The value of $\frac{\tan {330^0} \cdot \sec{420^0} \cdot \sin{300^0} }{\tan{135^0} \cdot \sin{ 210^0} \cdot\sec{315^0} } $
$\frac{1}{\sqrt 2}$
b.$\sqrt 2$
c.$\frac{1}{\sqrt 3}$
d.$\sqrt 3$
The sum of cube roots of unity is
1
b.-1
c.0
d.i
Which of these is not a function?
f(x) = x²
b.f(x) = √x
c.f(x) = ±√x
d.f(x) = x + 1
value of: tan 720 -cos 270 - sin (150) *cos120
-1/4
b.1/4
c.0
d.1/2
Worksheet Answers
Solution:
YZ plane is X axis
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.
Solution:
HINGLISH
Step 1: Check each option.
a) x² → har x ka sirf ek output hai → function ✅
b) √x → har x ka sirf ek output hai → function ✅
c) ±√x → x=4 ke liye output = +2 ya –2 → 2 outputs → not function ✅
d) x+1 → har x ka sirf ek output → function ✅
Answer: c) f(x) = ±√x
ENGLISH
Function ke liye har x ka sirf ek output hona chahiye. Ye type ke questions me ye logic hamesha yaad rakho.
English:
Step 1: Check each option.
a) x² → one output for each x → function ✅
b) √x → one output for each x → function ✅
c) ±√x → x=4 gives +2 or –2 → multiple outputs → not function ✅
d) x+1 → one output for each x → function ✅
Answer: c) f(x)=±√x
