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Activity Answer

The document contains a series of mathematical problems and solutions, including linear equations, arithmetic progressions, and trigonometric identities. It features step-by-step calculations and examples, demonstrating various mathematical concepts. The repeated phrase 'YES, I Can Do it' suggests encouragement or affirmation throughout the document.

Uploaded by

rahulmetrirahulmetrimetri
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© © All Rights Reserved
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31 views18 pages

Activity Answer

The document contains a series of mathematical problems and solutions, including linear equations, arithmetic progressions, and trigonometric identities. It features step-by-step calculations and examples, demonstrating various mathematical concepts. The repeated phrase 'YES, I Can Do it' suggests encouragement or affirmation throughout the document.

Uploaded by

rahulmetrirahulmetrimetri
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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5

11 13

160

2
2

2
2

2
2

2
2

2
2

A= H=
L=

A B H L

YES, I Can Do it 20
15

2
3 5 3 7

2 3

H=
L=

n n

n n

n n

n n

7 11 13 + 13
7 11 13 + 13
= 13 ( 7 11 + 1 )
= 13 ( 77 + 1 )
= 13 ( 78 )
= 13 2 3 13

7 11 13 + 13

YES, I Can Do it 21
3+
3+
3+

3+

p2 p p

q2 q q

YES, I Can Do it 22
2x - y = 2 4x - y = 4
i) 2x - y = 2 ii) 4x - y = 4

y=0 ; 2x = 2 x=1 y=0 ; 4x = 4 x=1

x=0 ; -y=2 y = -2 x=0 ; -y=4 y = -4

2x - y = 2 4x - y = 4
X 1 0 X 1 0
Y 0 -2 Y 0 -4

YES, I Can Do it 23
x + 2y = 6 2x - 5y = 12
i) x + 2y = 6 ii) 2x - 5y = 12

y= y=

x= 0 y = x= 1 y =

x= 2 y = x= 6 y =

x + 2y = 6 2x - 5y = 12
X 0 2 X 1 6
Y 3 2 Y -2 0

YES, I Can Do it 24
x+y=5 x-y =5 y-

i) x + y = 5 ii) x - y = 5

x+y=5 x-y =5
X 5 0 X 5 0
Y 0 5 Y 0 -5

y-

YES, I Can Do it 25
a, a + d, a + 2d, a + 3d .............

n
an = a + (n - 1)d

n
S n = [2a +(n - 1)d] S n = [a + l ]

a d n
an = a + (n - 1) d
a10 = 2+ (10 - 1) 5
=2+(9)5
= 2 + 45
= 47
a10 = 47

a d an n= ?

an = a + (n - 1)d
99 = 12+ (n - 1)3
99-12 =(n - 1)3
87 =(n - 1)3
87/3 =(n - 1)
29 = (n - 1)
n = 29 + 1 n = 30

YES, I Can Do it 26
a = 6, d = 10 - 6 = 4 , n = 20 , S20 = ?
Sn = {2a + (n 1)d }

S20 = {2x6 + (20 1)4 }

S20= 10 (12 + 19x4 )


S20= 10 (12 + 76 )
S20= 10 (88 )
S20 = 880

A.P
P
n
A.P
P
n an = a + (n - 1) d
= 2+(n-1)4
= 2+4n-4
an =4n-2

a = 2, d = 6 - 2 = 4 , n = 10 , S10 = ?
Sn = {2a + (n 1)d }

S10 = {2(2) + (10 1)4 }

S10 = (4 + 36) = (40)

YES, I Can Do it 27
YES, I Can Do it 28
YES, I Can Do it 29
sinA = cosinA =

cosA = secA =

tanA = cotA =

sinA = cosinA =

cosA = secA =

tanA = cotA =

YES, I Can Do it 30
sin

cos

tan ND

cot ND

sec ND

cosec ND

1. sin(900- ) = cos

2. cos(900- ) = sin

3. tan(900- ) = cot

4. cot(900- ) = tan

5. sec(900- ) = cosec

6. cosec(900- ) = sec

YES, I Can Do it 31
YES, I Can Do it 32
YES, I Can Do it 33
(V)
(CSA) (TSA)
04

2
CSA rl TSA V= h

05
3
V=
CSA r2 TSA r2

YES, I Can Do it
06

3
CSA r2 TSA r2 V=

34
x Fx
5 - 15
15 - 25
25 - 35
35 45
45-55
N=

(f) X D= x-a U fu
20-50 5 35 -90 -3 -15
50-80 8 65 -60 -2 -16
80-110 15 95 -30 -1 -15
110-140 6 125 0 0 0
140-170 12 155 30 1 12
170-200 4 185 60 2 8
N = 50 -26

= = 125 15.6 = 109.4

YES, I Can Do it 35
10-15 30
15-20 45 f0
20-25 75 f1
25-30 35 f2
30-35 25
35-40 15
N = 220

=l + h
= 20 + 5
= 20 + 5

= 20 +

= 20 +
= 22.14

YES, I Can Do it 36
=20 =10,

=50 2 = 50/2 =25

YES, I Can Do it 37

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