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68751.

17. A and B can finish a work in 30 days. Thworked for it for 20 days and then B left. Theremaining work was done by A alone in 20 moredays. A alone can finish the work in

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68752.

' (था) 20 न 2:28, ८स+20 नर5% 22 न 2? £C =2

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C = 2B B + C = 75 A + B + C = 180 A + 75 = 180 A = 105 2B + B = 75 3B = 75 B = 25 C = 50

68753.

13. A alone can do a piece of work in 12 days and B alone can do the same work in15 days. A works alone for 4 days. In how many days will A and B together finishthe remaining work ?

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68754.

Example 4 After giving discount of 20% on mark up price, a trouser was soldfor Rs. 560. Determine mark up price of trouser.

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Let the narked price of trouser =₹x

x-(20/100)*x=560(80/100)*x=560x=(560/80)*100x=700

Therefore, the marked price of trouser=₹700

68755.

: tf α and β are the zeroes of the polynomial x?-5xk such that a-findflie duernei nf the polynomial 25 p-15 p+2, find a quadratic polynomia

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68756.

H2 S,Os on complete hydrolysis gives x mole of H2So, and y mole of H,02. Find (xy

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H2S2O8+ 2H2O → H2O2+ 2H2SO4

Hence X =2 and y =1hence X+y=2+1=3

68757.

। 6.(c) 10 days (d) 12 daysA can do a piece of work in 12days and B in 15 days. Howmany days will both take to-gether to complete the work?A एक काम को 12 दिनों में तथा B15 दिनों में कर सकता है। दोनोंमिलकर उस काम को कितने दिनों मेंपूरा करेंगे?1h8 dans

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A alone can do the work in 12 days He can do = 1/12 work in one day

B alone can do the work in 15 days He can do = 1/15 work in one day

A and B together can do = 1/12 + 1/15 = (5+4)/60 = 9/60 work in 1 day.

They need days to finish the work = 1/(9/60) = 60/9 days.

68758.

iece of work in 25 days and Y can finish it in 20 days. They work together for 5 days andX can do a pthen Y leaves. In how many days will X finish the remaining work?

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can you tell me the name of book

68759.

5.Acan do a piece of work in 25 days, which Balone can finish in 20 days. Both together workfor 5 days and then A leaves off. How manydays will B take to finish remaining work?

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A can do a piece of work in 25 days

⇒ A can do a work of W/25 in one day

B can do a piece of work in 20 days

⇒ B can do a work of W/20 in one day

given the both work 5 days

5 days work of both A and B is 5W/25 + 5W/20 = W/5 + W/4 = 9W/20

remaining work after A leaves is W - 9W/20 = 11W/20

11W/20 work is to be done B alone and B can do a work of W/20 in one day

⇒ B completes the remaining work in 11 days.

68760.

Directions : Mark () against the correct answer:1. A does a work in 10 days and B does the same work in 15 days. In howthey together will do the same work ?(a) 5 days(b) 6 days(c) 8 days (d)

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A=10 LCM. 30B=15effencA = 3B= 2totel work 30/5A+B=6 days

68761.

The probability Harsha winning a watch is 3/5. Find the probability Harsha tossing the match.

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probability that Harsha losing the match is 1-(3/5)= 2/5

68762.

If the probability of a horse A winning a raceis 1/4 and the probability of a horse B winningthe same race is 1/5, then the probability thateither of them will win the race isa)1b)22020

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The probability of winning if horse A=1/4And of horse B=1/5So, probability that either of them wins =1/4+1/5 =1/20 (option A)

68763.

9. If the probability of winning agame is 0.3, what is the probabilityof loosing it?

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68764.

To express the recurring decimal in qform.Ex. (1) Express the recSolution:press the recurring decimal 0.777...Let x= 0.777 = 0.7,', 10x7.777 = 7.77707

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68765.

nf

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68766.

2. Show that any positive odd integer is of the form 6q +1 or6q +3 or 6q 5, where g is some integer.Sol. Let a be any nositivo

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68767.

nlu nf k ?k k t 10 and 3k + 2 are in A.P.?

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Let a1= 2k, a2= k+10, a3= 3k+2 are in AP, then

Second term - first term = third term - second term

K+10 -(2k) = 3k+2-(k+10)

K+10-2k =3k+2-k-10

k -2k +10 = 3k-k +2-10

-k +10= 2k -8

-k-2k= -8-10

-3k = -18

k =18/3= 6

k= 6

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68768.

25. In an AP, the first term is-4, last term is29 and the sum of all its terms is 150. FindIcesE 20101its common difference

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68769.

13. If(x+a) is a factor of (z? + 2ax + 5x + 10), find the value of a. IceSE 201123..-1and b =2

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Let f(x) = 2x^2 + 2ax + 5x + 10If (x+a) is a factor then by the factor theorem f(-a)=0f(-a) = 2a^2 - 2a^2 - 5a +10 = 0-5a + 10 = 0a = 2

68770.

ull?3. A can do a piece of work in 25 days and B can do the same work in 30 days. They work together 5 days.How much work is still left?

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68771.

IINTER PHYSICs111 WORK, ENERGY AND POWERLONG ANSWER TYPE QUESTIONSDevelop the notions of work and kinetic energy and show that it leadsto work-energy theorem.Work (W): Work done by the force is defined as the product of[March 2017AP, 2014]

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68772.

A can do a piece of work in 10 days and B can do the same work in 12 days.How long will they take to finish the work, if both work together?

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i think 6 days........

yes 6 days they can do the work by doing it together take lcm of 10,12,15and simplify

68773.

Sum of the first n terms of an A.P. having first term a and last term E isA) 72a-t) B 72a+e) C)a+ D) a-t)iS..

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sum of first n terms is given by n/2*(a+l)

68774.

Three males A, B, C tossing a coin one by one, Who get tail first he will win. If A has firstchance then what is the probability fo winning of A?

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As there will be two eventstail or headso getting a tail in first will be 1/2so probability will be 1/2 too

thnks but the given answer is 4/7 ,2/7 and 1/7

68775.

α and β are the zeros of the polynomial f(x)-x2 + px + q, form a polynomial whosezeros are (α+ β)2 and (α-β)2

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68776.

Since, log, e1By Calculator : x-2.7725...Ans.ofEx. 1.3.2Determine the value of the following logarithms(i) log, 9Soln.:Ex 1SolhSolndsaLet, log, 9-1Write logarithm in exponential from,

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Let it be x then 3^x = 9. Therefore x=2.

Thanks

68777.

12. Find the quadratic polynomial, sum of whose zeros is 8 and theirproduct is 12. Hence, find the zeros of the polynomial. IceSE 200

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68778.

i Dovo: 7 I < Ze—" W”M‘J.M’mfiw&wfiMfiw B00ponctlingdhe APB_iy Fom (=2

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Area of the segment = Area of the sector - Area of the triangleArea of the sector =θ/360°πr²Area of the triangle = 1/2*AB*sinθHere, the length of the arc = 44 cmRadius = 28 cmFirst, we have to find out the angleθ by using the formula of length of the arc.Then,44 =θ/360°2πrθ = (44*7*360)/(2*28*22)θ = 90°Now, Area of the sector = 90/360*22/7*28*28Area of the sector = 616sq cmArea of the triangle = 1/2*28*28*sin90= 1/2*28*28*1Area of the triangle = 392 sq cmArea of the segment = 616 - 392Area of the sector = 224 sq cm

68779.

Jength of फौज xeclungle is Y o vhe ikbiserd 4 spresomt W in o fom o foreyet

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68780.

13. If /3 tan 0-1 - o, find the v2 e.INCERT EXEMPalue of sin-cosANSI

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√3 tanθ = 1⇒ tanθ =1/√3⇒ tanθ = tan 30⇒θ =30°now, sin²θ - cos²θ = sin² 30 - cos² 30=1/2^2-1/√3^2=-1/2

68781.

\int _ { - \pi / 2 } ^ { \pi / 2 } x \operatorname { sin } x d x = 2 \int _ { 0 } ^ { \pi / 2 } x \operatorname { sin } x d x

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68782.

Ifαandβare the zeros of the quadratic polynomialf(x)=3x2−7x−6, find a polynomial whose zeros areα2andβ22α+ 3βand 3α+ 2β

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pehle question to dhyan se dekh liya kro fir baad mein internet se copy krna

and ur question is also different

68783.

1. Factorise the following ex(a) x2 +9x + 20

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x^2+5x+4x+20=X(X+5)+4(X+5)=(X+5)(X+4 ) is the correct answer of the given question

x²+9x+20=0sum=9: product=20number=5,4x²+5x+4x+20=0x(x+5)+4(x+5)=0(x+5)+(x+4)=0x=-5,-4

68784.

1 4X-5y = 38x-huy-o3) Form a quadratic polynomial whose zeros are 7 and -4.

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(x+7)(x+4)= x^2+11×+28=0

sum of zeros= 7+(-4)=7-4=3product of zeros= 7×(-4)=-28polynomial = x^2-x(sum of zeros)+ product of zerosx^2-x(3)+(-28)x^2-3x-28

4x-5y=3; x=4; 4(4)-5y=3; 16-3=5y; 13=5y; y=13/5

68785.

Find the quadratic polynomial, the sum of whose zeros is v2 andtheir product is-12. Hence, find the zeros of the polynomial

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68786.

AR - TraB ले «+2-o x . o

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68787.

"And the equat,onok thethe deffesente of cohose distance fom-sibuus of a pointS,0S, DIS

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68788.

3x + 4y = 24, 20x - 11y = 47

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3x+4y=24......(1) 20x-11y=47.....(2)multiply equation (1) with 11and equation (2) with 4 33x +44y= 26480x-44y=168add both the equationswe get, 113x=432x= 3.824y=47-3x4y=47-3(3.82)4y=35.54y=8.88

68789.

(i) 4x2 + 20x +25(NCERT Exemp

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68790.

•nomial in variable x.Write the general form of a quadratic polynomial and a cubic polynomial in variable

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ax²+bx+c=0 is the quadratic polynomial.ax³+bx²+cx+d= 0 is the cubic polynomial is the correct answer of the given question

ax^2+bx+c=0; The quadratic polynomial, the cubic polynomial ax^3+ bx^2+cx+d=0

68791.

EXAMPLE 2.44. Given that (x-5) is a f+13x 3v5, find all theactor of the cubic polynomial-35xzeros of the polynomial.

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68792.

jilgUerweenpi2) aOne card is drawn wo a king of red colour(N) the jack of heartsand 6, (ii) an odd mumbet.n from a well-shuffled deck of 52 cards. Find the probability of getting(ii) a face card(v) a spade(ii) a red face card(vi) the queen of diamondsrthe ten, jack, queen, king and ace of diamonds, are well shufflid with therwards. One card is then picked up at random.

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68793.

In what ratio does the point (11, 18) divide the linejoining (3, 4) and (7, 11).(b)ho 91m of n terms of two

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Thank you

68794.

EXERCISE 9.2Find the zeroesthe zeroes and the coefficients.ofthe following quadratic polynomials and verify the relationship between1.0) x2-2x 8(iv) 4i +8u(ii) 4s-4s+ 1(v) 2-15(ii) 6x2- 3-7x(vi) 3x2-x-4

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68795.

Iftwo zeroes ofthe polynomial xa-6d-26P + 1 3 8x-35 are 2 Âą 15. find other z

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68796.

13. Find the quadratic polynomial whose zeros are 2 and -6. Verify therelation between the coefficients and the zeros of the polynomial.

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68797.

बल करcie (LTS ) 4oy g fCetts) =Soe b + एस

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waga

68798.

cie trab the ce

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(a+b)^2-c^2=(a+b+c)(a+b-c)

the correct answer is 48

(a+b+c)(a+b-c) right answer

(a+b+c) (a+b-c) is the right answer

(a+b+c)(a+b+c) is correct answer

(a+b)^2-c^2 is the answer

(a+b+c) ( a+b-c) is the right answer

68799.

Inadjacent figures LB#ZEandgezBC:FJustilify your anowerIsLA Cie reason

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Thank You

68800.

. In a school library, the ratio of Mathematic andScience books is 2: 3. If there are 378 books, find the number of Mathematics bookcie

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