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ans. 12 is wrong ans.

x^2 + 2x - 3 = 0x^2 + 3x - x - 3 = 0x(x + 3) - 1(x + 3) = 0(x - 1)(x + 3) = 0x = 1, - 3

x^2 - 2x + 1 = 0

x^2 -x -x +1 ==0

x ( x - 1 ) -1( x - 1)=0

( x - 1 ) ( x - 1 ) =0

x = 1 , 1

now putting value of x in x+1/x

= 1 + 1/1

= 1 + 1

= 2

ans: the value of x + 1/x = 2

t.y

2) tossing 2 coins possibilities areHH,HT,TH,TTso probability of both same=2/4=1/23)number is 1,2,...,12so probability of prime number=5/12

P(A and D) = P(A)P(D|A)

Is P(D | A) = P(D) ?

P(D|A) = 9/60 = 3/20

P(D) = 15/100 = 3/20

for this she needs to find the total number of homesthen find that the number of families who own their homeshenceprobability=no of families who own home/total no of homes

thanks

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x^3/3 +X is the correct answer of the given question

x^ 3/3 +X is the correct answer

x^3/3 +x is the correct answer to this question.

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these all sums are solved by complete square method

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Let the diagonals AC and BD intersect each other at O

Thus according to question

Angle BAO = Angle alphaandCos Alpha = 2/3

Thus in triangle AOBCos alpha = AO / ABand Sin alpha = OB/AB1/3 = 3/ABThus AB = 91/2 = 3/AOAO = 6Thus AC= 12and BD = 6

8 papers can be arranged in 8! ways without any restrictions.

Now we can find the number of arrangements where the best and worst paper always come together.For this, group the best and worst papers and consider as a single paper.

Then there are 7 papers and these can be arranged in 7! ways.

Best paper and worst paper which were grouped, can be arranged among themselves in 2! ways

Therefore, number of arrangements where the best and worst papers always come together = 7!×2!

Number of ways in which 8 papers can be arranged where best and the worst paper do not occur together= 8! - (7! × 2!) = 7!(8-2) = 7! × 6

= 5040*6

= 30240

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cos^2(x/2) - sin^2 (x/2) / sin^2(x/2)+cos^2(x/2)+2 sin(x/2) cos(x/2)

= [cos(x/2) - sin(x/2)] [cos(x/2) + sin(x/2)] / [sin(x/2)+cos(x/2)]2

= [cos(x/2) - sin(x/2)] / [cos(x/2) + sin (x/2)]

= 1 - tan(x/2) / 1+tan(x/2)

= tan (pi/4 - x/2)

=tan-1[tan(pi/4 - x/2)]

= pi/4 - x/2

Let sin^-1(1-x) = A, So, Sin A = 1-xlet Sin^-1 x = B, So Sin B = x

Given 2*B + A =π/2 π/2 - A=2B Cos (π/2 - A) = Cos (2B) SinA = 1 - 2 Sin² B 1 - x = 1 - 2 x² 2x² - x = 0 x(2x - 1) = 0 x = 0 or x = 1/2

a) is correct as -8 +4 +5 = +1

sinx=3/5; cos x =4/5; tanx=3/4

the meaning of symbol is at

the meaning of the symbol is at

meaning of the symbol is at

the answer is b) at.but not am as

The Meaning of the symbol is at

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Given,

Length = 20 cm, breadth = 15 cm, height = 8 cm

Total surface area= 2(lb+bh+lh) =2[(20×15)+(20×8)+(15×8)]=2[300+160+120]= 1160cm2

Lateral surface area= [2(l+b)×h] = 2(20+15)×8 = 560 cm2 (ANS)

TSA = 1160 SQ.CMLSA = 560 SQ.CM

TSA=1160SQMLSA=560SQ.CM

1160cm2560cm2 is the best answer

Volume = L×B×H = (20*15*10) = 3000cm³

L.H.S., (tanθ + 2)(2tanθ + 1)

= 2tan^2θ + tanθ + 4tanθ + 2 = 5tanθ + 2tan^2θ + 2 = 5tanθ + 2 (tan^2θ + 1) = 5tanθ + 2 (sec^2θ)

[Since, tan^2θ + 1 = sec^2θ] = 5tanθ + 2sec^2θ = R.H.S.

24+18+2-3/12= 44-3/12= 41/12= 3•4166

3.4166 is the correct answer of the given question

3.4166 is the correct answer

1.2.3 + 2.4.6 + 3.6.9 +.....+ n.2n.3n

= 1.2.3[ 1^3 + 2^3 +3^3 +4^3+ .... + n^3]

=1.2.3[ (n)(n+1)/2]^2=3/2[(n)(n+1)]^2

Assume the number to be 100 for instance,12% of 100 increased = 100 + ( 12/100*100 )= 100 + 20 = 120The resulting number decreased by its 10% = 120- (20/100*120)= 120-24 = 96Now, net decrease =100-96 = 4Decrease percent = (Decrease / Original number * 100) %= ( 4 / 100 *100 )%= 4%.