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251.

.Find the length of the heigth of an equilateral triangle of side24cm.[Take31.73

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252.

16. The height of an equilateral triangle measures 9 cm. Find its area,correct to 2 places of decimal. Take 3-1.732.

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253.

is composite.Explain wrly 7 X 1 X 3 +1 3If x-3 is one of the root of the quadratic equation x -2kx-6-0, then find the value of kOR

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x=3(3)^2-2k(3)-6=09-6k-6=03-6k=0k=1/2

254.

А tower is 100 v 3 meter high. Find the angle of elevation if it's top from a point 100 meter away from it's foot

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255.

1.If x = 3 is one root of the quadratic equationr? - 2kx - 6= 0, then find the value of k. [1]

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x^2-2kx-6 ; x=3; (3)^2-2k(3)-6=9-6k-6=3-6k; 3=6k; k=3/6=1/2

256.

1.If x = 3 is one root of the quadratic equation x^2-2kx-6 = 0, then find the value of k.

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257.

romQ1. A tower is 100V3it's fout.meter high. Find the angle of elevation if it's top from a point 100 meter away

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thank you so much sir

258.

Question number Itoe talyI01. A rower is 100vs meter high Find the angle of elevation if it's top from a point 100 meter away from

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tana = 100root3/100tana = root3(we know root3 = tan60)​tana = tan60​n comparing a = 60

259.

A tower stands vertically on the ground. From a point which is 15 meter away from thefootofthe tower, the angle of elevation of the top of the tower is 45°. What is the heiohtof the tower?

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260.

Question number 1 to b carty I larr E01. A tower is 100v3 meter high. Find the angie of elevation if it's top from a point 100 meter away from

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261.

Questionnumber1tobllylnQ1. A towit's foot.er is 100V3 meter high. Find the angle of elevation if it's top from a point 100 meter away from

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angle=tan^(-1)(height/distance)=tan^(-1)(100root(3)/100)=tan^(-1)(root(3))=60

262.

A tower stands vertically on the ground. From a point which is 15 meter away from thefoot of the tower, the angle of elevation of the top of the tower is 45°. What is the heightof the tower?

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263.

100meterawaytom01. A tower is 100V3 meter high. Find the angle of elevation if it's top from a pointit's foot.

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264.

A tower is 100 sqrt 3 meter high. Find the angle of elevation if it's top from a point 100 meter awfoos

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265.

Compare the ratios : ęłľ ,

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4/9, 7/8Take LCM of 9,8=72(4/9)*72, (7/8)*72=32,63

32<634/9 < 7/8

266.

NOTEQuestions 1-2 carry I mark each, 3-5 cart9-10 carry 4 marks each,carry 2 marks each, 6-8 carry 3 marks cacChoose correct answer from the given to1. If 295x703 is divisible by 11, then v(a) 5answer from the given four options (1-2):(d) 8.02. If C.P(6) 6Cal 10of an article is 500 and S.P. is 600, then his pro(c) 7is 3600, then his profit % is(d) 259

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(d)8 is the correct option

option

d

is

right

answer

8 is the correct answer

(d) 8 is the correct answer

option

d

is

right

d is the right answer

d.8 is the correct answer

267.

Questions No. 1 to 6 carry 1 marks eacllWhich type of solution will the pair of linear equations x + 3y4 and 2x +y5 have ?

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268.

Section B(Questions 7 to 12 carry 2 marks each)a, β are the roots or the quadratic polynomial p(x) = x2-(k + 6)x + 2(2k-1). Find thevalue ofk if α + β-lap.

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269.

CBSEEXAMINATION PAPER 2018MATHEMATICS(With Solutions)CLASS X(This Paper is Modified According to the Latest CBSE Question Paper DTime 1lloGeneral Instructions:esign)Maximum Marks 80() All questions are compulsory(ii) This question paper consists of 30 questions divided into four s)Section A contains 6 questions of I mark each, Section B contains ins 8ections - A. B, C and D.6 questions of 2 marksmarks each and Section D contains 8 questions ofeen provided in four questionseach, Section C contains 10 questions of 34 marks each(v) There is no overall choice. However, an internal choice has been provided ni only one of3 marks each and three questions of 4 marks each. You have to aattempt only one ofalternatives in all such questionsv) Use of calculators is not permittedSection AQuestion numbers 1 to 6 carry 1 mark each.1. Ifx 3 is one root of the quadratic equation x 2kx 6 0, then tinSolution. The given equation is 22r-60.

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One of the roots is 3. So, f(3)=0=> (3²) - 2k(3) -6=0=> 6k = 3=> k = 0.5

Please hit the like button if this helped you

270.

Question numbers 19 to 28 carry four marks eaultl.four marks eacit.A student wrote the equations of the lines a and b drawn in the following graph as y-1 and2x +3y 6. Is he right? If yes, write coordinates of point of intersection of lines a and b.-4-3-2-10 1 2 3Also, find the area enclosed between these lines and y-axis.

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1

2

271.

A train travels 110 km in 2 hours and a car travels 245 km in 3 , hours. What is theatio of the speed of the train to that of the car?

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thank you so much 😄

272.

14. A bullock-cart travels 35 km in 5 hours and a car travels 130 km in 2hoursFind the ratio of their speeds

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bullock-cart speed=35/5=7km/hcar speed=130/2=65km/h

ratio=7/65

273.

R The ratio of the volumes of three buckets is 3 4: 5. Buckets contain themixture of water and alcohol. If the mixture contains water and alcohol inthe ratio 1:4,1: 3 and 2:5 respectively then find the ratio of water andalcohol when the mixture in all containers are poured in fourth container.(A) 35 57(C) 157: 53(E) of these8.(B) 53 157(D) 35 157

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3/4*3x+4x/3+ 3/5*5x=12x*yy = 79/144 alcohol to water3x/4+4x/3+2/5*5x=12x*yy = 49/144 water to alcohol

274.

zero of the polynomial P(x)-cx + d, where c#0. c: d alrou-Έ): Write the coefficient ofy in the expansion of (5-1)2

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(5 - y)²

25 + y² - 10y

cofffcient of y is -10

275.

9. 19625 trees are to be planted in 157 rows. Find the number of trees in each row.

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no. of trees in each row is =19625/157 = 125 trees

276.

44. The sum of two numbers is 17 and thesum of their squares is 157. Find thenumbers.

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Suppose numbers are x and 17-x because addition is 17. x*x + (17-x)(17-x) = 157 x*x + 289 - 34x + x*x = 157 2x*x - 34x + 132 = 0 x*x - 17x + 66 = 0 (x-6)(x-11) = 0 x = 6,11 Numbers are 6 and 11.

If you find this answer helpful then like it.

thnx

277.

Using distributive property of multiplication, findthe product of the following:(a) 567 x 103 (b) 157 x 97

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567*(100+3)567*100+567*356700+17015840158401 is the correct answer of 1st

58401 is the correct answer for you

278.

10. TULLII Walauras CUST 23. 110W Illery COGU14. 19625 trees have been equally planted in 157 rows. Find the number of trees in cach row.

Answer»

157 rows =1962519625/157= 125

Number of trees planted in 157 rows = 19625Trees planted in 1 row = 19625÷ 157∴ 125 trees are planted in each row.

157rows=1962519625/157=125 Answer

279.

A group of teachers ___________(take/takes) class in lunch hours

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A group of teachers take class in lunch hours.

280.

1. If sin a 3 and 0 is an actte angle,Wind other trigonometesical ratios foro

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281.

2. A fruit seller bought bananas at R 8.40 per dozen. At what price per hundred muto earn a profit of 15%?

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282.

y. Anita has enough money to buy 24 bananas at the rate of 18 per dozen. How many bananas can she buy, if theprice of each banana is increased by 30 paise?

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Anita has 36 rupees means18 per dozen1 Dozen = 122 Dozen = 2424 banana rupees = 18×2 =3630 Paisa Increased24 ×0.368. 64 rupees increased36 + 8.6444.64Means after increasing 30 paisaprice of 1 banana is 1.86Anita has 36 rupeesHe bought banana after increasing 30 paisa36/ 1.8619 banana

283.

17. A merchant bought 60 sheep at120 per sheep. He sold 40 of them at䚏150, 10 of the sheep died.What should be the S.P. of the remaining sheep, if he wants a profit of 800?(a) 150(b) 200(c)250(d) 180

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284.

Anita hprice of each banana is increased by 30itahasenough money to buy, 24 bananas at the rate of 18 per dozen. How many bananas can she buy, if thpaise?

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Anita has 36 rupees means 18 per dozen 1 Dozen = 12 2 Dozen = 24 24 banana rupees = 18×2 =3630 Paisa Increased 24 ×0.36 8. 64 rupees increased 36 + 8.6444.64 Means after increasing 30 paisa price of 1 banana is 1.86 Anita has 36 rupees He bought banana after increasing 30 paisa 36/ 1.86 19 banana

veerkuch samaj ni lagi

285.

marks.15) The price of bananas is 30 a dozen. Aditya can buy 12 dozen bananas withthe amount of money he has. If the price of bananas isdozen, how many dozen bananas can Aditya buy?increased by R 10 a

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Money Aditya has = 12*30 = Rs. 360.New price of a dozen = 30+10 = Rs. 40Number of dozens he can buy now = 360/ 40 = 9 dozens

286.

A dull witted farmer decided to count his sheepby first counting their legs He counted 456 lesand reasoned that he had 113 sheep. Assumingeach sheep had 4 legs, was he correct?

Answer»

456/4=114sheepsNo he was not correct

456/4=114 sheeps no he was not correct is the correct answer

114 the correct answer of the given question

287.

23.A Write the given information as an equation and find its solution.(a) Haraba owns some sheep. After selling 34 of them in the market, he still has 176 sheep. Howmany sheep did Haraba have first?

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Haraba has 176+34=200 sheep were there initially.

288.

Mwangi keeps a sheep and a goat on his plot. One day he tied the gouat to grazeusing a rope 10 metres long. Another day he tied the sheep on the same peg tograze but he used a rope 7 metres long.(a) On how much area could the sheep graze?(b) On how much area could the goat graze?(c) On how much more area could the goat graze than the sheep?(Take 3.14)

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3)314-153.86= 160.14m^2 more area covered when radius= 10cm

289.

The number of cows in a farm is 1 timesthe number of sheep. The number of goats istwice the number of sheep. If there are 90animals in the farm, calculate the number ofcows in the farm.

Answer»

Let number of sheep = xThen,Number of cows = 3x/2Number of goats = 2x

Given, Total number of animals in farm = 90

So,x + 3x/2 + 2x = 90(2x + 3x + 4x) = 90*29x = 180x = 180/9 = 20

Therefore,Number of cows in farm= 3x/2 = 3*20/2= 30

290.

one sandwich for her lunch and her two other friends in the class foroeir lunch. Seema decided to share equally her sandwich with her friends.1. Seema hadher friends. Hotmuch part of the sandwich each girl will get? What have you learnt by this behaviceof Seema?

Answer»

each girl will get 1/3 part of the sandwich..Seema is very kind hearted girl

291.

4- Sasha heats a container carrying nitrogen and oxygen. After heating at very hightemperature, it gives nitric oxide. Identify what are mixtures and/or compounds before andafter the reaction. Give difference between types of mixtures.

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292.

find the values from root 2to root10

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thank you sir

293.

3x+2y=11

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Its is an expression of linear equation in two variables , which represents a straight line.

294.

Write in numerals:(a) Ninety crore twenty one lakh six thousand. 99 210 600(b) Six crore nine lakh twenty one thousand six hundred seventy si(c) Twelve crore sixty six lakh forty eight thousand twenty six. Re(d) Two crore six lakh three. 20 600 003(e) Five hundred twenty five million two hundred thousand six hun(f) Forty-six million four hundred two thousand seventy six. 4640(g) Two hundred million five hundred twenty six thousand four hur

Answer»

900216000 ninety crore twenty one lakh and six thousand

295.

(a) Eight lakh fifty two thousand four hundred(b) Seven lakh four thousand twenty.(c) Twelve thousand six hundred five.(d) Two lakh ninety thousand five hundred six(e) One lakh one.(f) Five lakh sixty nine thousand four.(g) Nine lakh fifty six thousand.(h) Two lakh one hundred fifty.Write the standard numeral for each of the follo(a) 40,000 + 3,000 + 400 + 5(b) 10,000 + 4

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a) 8,52,400b) 7,04,020c)12,605d) 2,90,506e)1,00,001f)5,69,004g)9,56,000h)2,00,150

Q2a) 43,405=forty three thousand four hundred five.b)10,004=ten thousand four.

296.

Question 2:Place commas correctly and write the numerals:(a) Seventy-three lakh seventy-five thousand three hundred seven.(b) Nine crore five lakh forty-one.(c) Seven crore fifty-two lakh twenty-one thousand three hundred two.(d) Fifty-eight million four hundred twenty-three thousand two hundred two.(e) Twenty-three lakh thirty thousand ten.

Answer»

seventy

297.

Write the numeral for each of the following numbers:i Nine thousand eighteen(ii) Fifty-four thousand seventy-three(ill) Three lakh two thousand five hundred sixv Twenty lakh ten thousand eight(v) Six crore five lakh fifty-seven(vy Two crore two lakh two thousand two hundred two(vii) Twelve crore twelve lakh twelve thousand twelve(yIulr Fifteen crore fifty lakh twenty thousand stxty-eight

Answer»

Thirty - eight thousand nine hundred eighty - four = 38,984

298.

1. Write the numeral for each of the following numbers:(1) Nine thousand eighteen ?(ii) Fifty-four thousand seventy-three(iii) Three lakh two thousand five hundred six(iv) Twenty lakh ten thousand eight(v) Six crore five lakh fifty-seven(vi) Two crore two lakh two thousand two hundred two(vii) Twelve crore twelve lakh twelve thousand twelve(viii) Fifteen crore fifty lakh twenty thousand sixty-eight

Answer»

i) 9018ii) 44073iii) 372506iv) 251008v) 65000057vi) 20202202vii) 121212012viii) 155020068

299.

EXERCISE 1A1. Write the numeral for each of the following numbers:Nine thousand eighteenNO Fifty-four thousand seventy-three(08, Three lakh two thousand five hundred six(* Twenty lakh ten thousand eightA Six crore five lakh fifty-seven(if Two crore two lakh two thousand two hundred two( Twelve crore twelve lakh twelve thousand twelve(1 ) Fifteen crore fifty lakh twenty thousand sixty-eightWrite each of the following numbers in words:

Answer»

not known you fool1134542123

1) 90182)40733)3025064)20100085)605000576)20200202

9018407330250620100086050004720200202

9018407330250620100086050004720200202

300.

EXERCISE 1A1. Write the numeral for ceach of the followving numbershe numeral for each of the following numbers:(i) Nine thousand eighteen(ii) Fifty-four thousand seventy-three(ii) Three lakh two thousand five hundred six(iv) Twenty lakh ten thousand eight(v) Six crore five lakh fifty-seven(vi) Two crore two lakh two thousand two hundred two(vii) Twelve crore twelve lakh twelve thousand twelve(viii) Fifteen crore fifty lakh twenty thousand sixty-eight

Answer»

90184407330250620100086050005720202202121212012155020068

95crore 9lakh 9thousand 99