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1) limx→-∞ , value becomes 2x²/x² = 2 2) limx→∞ , value becomes 2x²/x² = 23) limx→ 2- , value becomes = -∞4) lim x→ 2 , value doesn't exist

745 milligram=0.745 gmso total=20+0.745=20.745gm1 gm=1/1000 kg20.745 gm=0.020745 kg

here first term is 10 comman difference = 2 so 6th term will be 010,8,6,4,2,0

a

Formula: (a+b)²=a²+b²+2ab

a^2+2ab+b^2 is answer

this question the answer is 1x

√(1 + sin∅)/√(1 - sin∅)

= √(1 + sin∅) × √(1 + sin∅)/√(1 -sin∅)×√(1 +sin∅)

= √(1 + sin∅)²/√(1 -sin²∅)

= (1 + sin∅)/√cos²∅

= (1 + sin∅)/cos∅

= 1/cos∅ + sin∅/cos∅

= sec∅ + tan∅

rs 5 => 5×100 paisa => 500 paisa

500 paisa : 50 paisa

=> 500/50 => 10/1 => 10 paisa : 1 paisa

We know that, 1 rupee = 100 paise. 5 rupee = 500 paise.

Given, 5 : 50 = 500/50

= 10/1

Ratio of 5:50 = 10:1

5:50

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thk u

₹5=500p500/50=100/10=10/1=10:1

-b+-Vb^2-4ac/2a=2a+-V(2a)^2-4(2a)4(a^2-b^2)/2=V4a^a-16a^3/2=V4(a^2-4a^3/2=Va^2-4a^3

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Solution -sin⁴(π/8) + sin⁴(3π/8) + sin⁴(5π/8) + sin⁴(7π/8)

= [sin²(π/8)]² + [sin²(3π/8)]² + [sin²(5π/8)]² + [sin²(7π/8)]²

= [{1 - cos(π/4)}/2]² + [{1 - cos(3π/4)}/2]² + [{1 - cos(5π/4)}/2]² + [{1 - cos(7π/4)}/2]²

= [{1 - √2/2 }/2]² + [{1 + √2/2 }/2]² + [{1 + √2/2}/2]² + [{1 - √2/2}/2]²

= 2[{1 - √2/2 }/2]² + 2[{1 + √2/2 }/2]²

= 2[{2 - √2}/4]² + 2[{2 + √2}/4]²

= (1/8)(2 - √2)² + (1/8)(2 + √2)²

= (1/8)[(4 - 4√2 + 2) + (4 + 4√2 + 2)]

= 12/8 = 3/2

Let theta = xLHS:=cot x - tan x=cos x/sin x - sin x/cos x=(cos^2 x - sin^2 x)/sin x.cos x=[cos^2 x - (1 - cos^2 x)] / sin x. cos x= 2cos^2 x - 1/sin x. cos x= RHS

Hence proved

Area = lb = (8x+5)(5x+3)= 40x² + 49x + 15

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(2+3)days+(18+12 )hours5 days+ 30 hour'6 days + 6 hoursas 24 hours= 1 daysplease like the solution 👍 ✔️

i) 6:15 = 2:5 ii) 15:25 = 3:5 iii) 2.5:7.5 = 1:3 iv) 15:175 = 3:35 v) 1500:1020 = 150:102 = 75:51 = 25:17 vi) 1500:2500 = 3:5

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divide 4 by 96 an then write the answer like1:3 : stands for is to and real ans is 1: 24

4 dozen is 48 48/96= 1/2

1kg = 1000 gm 6000/720= 25/3

Circumference of circle = 2*pi*rArea of circle = pi*r*rGiven,2*pi*r = pi*r*rr = 2

Diameter of circle = 2r = 2*2 = 4

(d) is correct option

Volume of a sphere is numerically equal to its surface area,

=) 4/3 * pi * r^3 = 4 * pi * r^2

=) r = 3

Hence d = 2r= 2*3= 6.

48/95 real 3/9 and 3/9 is 1/3 then ans will be 5 ..1/3

25% copper 30% iron so 100-25-30=45% zincnow alloy is of 720 gm so weight of zinc=(720×45)/100=324 gm

In LIEN, LINE and NILE letters uesd are L, I, N, E

But in LEAN letters used are L, E, A, N

Therefore,LEAN is different(A) is correct option

Volume of cuboid= length*breadth*height=(2a)(5a^2)(9a^3)=90a^6

No. of labourers. days income 8 15 9000 x 7 6300 No. of men=(8*15)/9000=(x*7)/6300x=(8*15*6300)/(9000*7)=12Ans: 12 men

2+5/√4²+6²

= 7/√16+36

= 7/√52

Inone 1 hour, the tip will complete one rotationradius = 15 cmso, distance = 2πr = 2×π×15 =30π cm = 94.2 cm