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No-7

No-7

Is it integral or derivation?

If it is derivation, then this is the solution using Taylor expansion

Yes

Tq

Given ratio of sum of n terms of two AP’s = (7n+1):(4n+27)We can consider the 9th term as the m th term.Let’s consider the ratio these two AP’s m th terms as am: a’m→(2)Recall the nth term of AP formula, an= a + (n – 1)dHence equation (2) becomes,am: a’m= a + (m – 1)d : a’ + (m – 1)d’On multiplying by 2, we getam: a’m= [2a + 2(m – 1)d] : [2a’ + 2(m – 1)d’]= [2a + {(2m – 1) – 1}d] : [2a’ + {(2m – 1) – 1}d’]= S2m – 1: S’2m – 1= [7(2m – 1) + 1] : [4(2m – 1) +27] [from (1)]= [14m – 7 +1] : [8m – 4 + 27]= [14m – 6] : [8m + 23]Thus the ratio of mth terms of two AP’s is [14m – 6] : [8m + 23].now substitute the value of m as 9so the answer becomes120/95

Answer.

Given ratio of sum of n terms of two AP’s = (7n+1):(4n+27)

Let’s consider the ratio these two AP’s mth terms as am : a’m →(2)

Recall the nth term of AP formula, an = a + (n – 1)d

Hence equation (2) becomes,am : a’m = a + (m – 1)d : a’ + (m – 1)d’

On multiplying by 2, we get

am : a’m = [2a + 2(m – 1)d] : [2a’ + 2(m – 1)d’]

= [2a + {(2m – 1) – 1}d] : [2a’ + {(2m – 1) – 1}d’]= S2m – 1 : S’2m – 1= [7(2m – 1) + 1] : [4(2m – 1) +27] [from (1)]

= [14m – 7 +1] : [8m – 4 + 27]= [14m – 6] : [8m + 23]

Thus the ratio of mth terms of two AP’s is [14m – 6] : [8m + 23].

So, the ratio of 9th term=14(9)-6: 8(9)+23120:95=24:19

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Given ratio of sum of n terms of two AP’s = (7n+1):(4n+27)

We can consider the 9th term as the m th term.

Let’s consider the ratio these two AP’s m th terms as am: a’m→(2)Recall the nth term of AP formula, aₙ= a + (n – 1)d

Hence equation (2) becomes,aₘ: a’ₘ= a + (m – 1)d : a’ + (m – 1)d’On multiplying by 2, we getaₘ: a’ₘ= [2a + 2(m – 1)d] : [2a’ + 2(m – 1)d’]= [2a + {(2m – 1) – 1}d] : [2a’ + {(2m – 1) – 1}d’]= S2m – 1: S’2m – 1= [7(2m – 1) + 1] : [4(2m – 1) +27] [from (1)]= [14m – 7 +1] : [8m – 4 + 27]= [14m – 6] : [8m + 23]Thus the ratio of mth terms of two AP’s is [14m – 6] : [8m + 23].now substitute the value of m as 9so the answer becomes120/95.

y= 81y-9=72y= 72+9=81

y-9=72y=72+9y=81

This is the correct answer

y=81y-9= 72y=72+9=81

y=81 is the right answer

y= 81 is the correct answer of the given question

y-9=72y=72+9y=81this is best anst

y=81 is the right answer

Y = 81 is the answer

U HAVE CLASS 9 SCIENCE OR MATHEMATIC QHESTION PAPER 2016 OR 2014

Sum of angles in a triangle is 180°

55° + x + y = 180°

The angles in a linear pair is 180°

125° + y = 180°

So, y = 55°

Substituting in the first equation, we get

55° + x + 55° = 180°

x = 180° - 110°

x = 70°

y=180°-125°y=55°x =180°-(55°+55°) =180°-110° =70°

thanks for sending the answer

still I have kept questions see and send me the answers

I will keep some questions you can send me the answers

thanks

i) a(n) = 3+4na(1) = 7a(2) = 11a(3) = 15so common difference is 4 , an AP therefore.

ii) a(n) = 9-5na(1) = 4a(2) = -1a(3) = 9-15 = -6So common difference is -5, an AP therefore

cot A = 8/15cosec^2 A = 1+ cot^2 A = 1 + (8/15)^2 = 1 + 64/225 = 289/225sin^2 A = 1/ cosec^2 A = 225/289

tq sis

part 1

part 2

part 3

Tnkuuu

We know,cos x = sin (90 - x)sin x = cos (90 - x)sin^2 x + cos^2 x = 1

Then,sin^2 63 + sin^2 27/ cos^2 x 17 + cos^2 73= sin^2 63 + cos^2 (90 - 27)/ sin^2 (90 - 17) + cos^2 73= sin^2 63 + cos^2 63/ sin^2 73 + cos^2 73= 1/1= 1

Therefore its value = 1

CotA = 815 Or BP=815 Let B=8K and P=15k So in a right angle triangle with angle A P^2+ B^22=H^2 Or H=17K Sin A = P/H = 15/17 Sec A = H/B = 17/

cotA=815 is correct

(sin47 - sin25) + (sin61 - sin11)

(2cos36 x sin11) + (2cos36 x sin25)

2cos36 ( sin11 + sin25)

4cos36 x sin18 x cos7

sin18 = (root5 - 1)/4 and cos36 = (root5 + 1)/4

so on solving we get, cos7.

if cuts y axis, x is 0 thenhence =0-y=5y=-5

coordinates are (0,-5)

thanks

-4+6x^4-3x^2 is the correct Answer!!

-4+6x⁴-3x² is the correct answer of the given question

-16x+24x^5-12^3/4x-4+6x^4-3x^2 ans

(-8x*x + 16x - 6 )/(4x-2) = -2(4x*x-8x+3)/(4x-2) = -2(4x*x-6x-2x+3)/(4x-2) = -2(2x-1)(2x-3)/(4x-2) = -2(2x-1)(2x-3)/(2*(2x-1)) = 3-2x

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(x-17) (x-1) is answer

(x-17) (x-1) is the best answer

thank

3/4 + 11/2 = 7/12 + a

(3 + 22)/4 = 7/12 + a

25/4 - 7/12 = a

(75 - 7)/12 = a

a = 68/12

x=3 is the right answer