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2251.

07. If the polynomials 3x + ax 2 + 3x + 5 and 4x²+x-2x+a leave the same remainder when divided by (x-2), find the value of a. Also find the remainder in each case.

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2252.

. Age of Ramanjeet's father is 49 years. If his father's ageis 4 years more than three times of his age. Find his age.bydis1511 How old am I?20. R

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3x+4 = 49

3x = 45

x = 15 years

2253.

(v) Find the number of natural numbers between 50 and 500 which when divided by 5 leaveremainder 2.

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2254.

2. If Px) 2x3+ax3x 5 and Q(x)xx2- 4x + a leave the same remainderx3+x2-4x + a leave the same remainderwhen divided by (x - 2), find a?

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Let the given polynomials be f(x) and g(x).

ATQ,When f(x) and g(x) are divided by (x-2) they leave the same remainder.

I.e (x-2) is a factor of f(x) and g(x). It means 2 is the zero of f(x) and g(x)

So that,

f(2) = g(2)

2x³+ax²+3x-5 = x³+x²-4x+a

2(2)³+a(2)²+3(2)-5 = 2³+2²-4(2)+a

2(8)+a(4)+6-5 = 8+4-8+a

16+4a+1 = 4+a

17+4a = 4+a

4a-a = 4-17

3a = -13

a = -13/3.

2255.

A-5.Letn640640640643, without actually computing nprove that n' leave remainder 1 when dividedby 8.

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then 8 divided by your digit to get answers

2256.

How many numbers lie between 11 and 1111 which when divided by 9 leave a remainder of 6 andwhen divided by 21 leave a remainder of 12?(A) 18(B) 28(C) 8 (D) of these

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Number lies between 11 and 1111 When divide by 9 a remainder of 6and when divided by 21 leave a remainder of 12=33, 96, 159 (all separated by 63)

a =33 d=63

1111=a+(n-1)631111=33+(n-1)631078=(n-1)631078/63=n-1n=(1078+63)/63n= 1141/63n = 18.11then total number=18

Answer is 18..

2257.

9. If the polynomials 3x + ax+3x +5 and 4xx + a leave the same remainder, whendivided by (x-2), then find the value of 'a' and the remainder in each case.I0. Factorise: 2x37x2-10x +24

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2258.

Mean of 20 observations is 15.5. later it was found that the observation 24 was misread as 42. Find the correct mean.

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Sum of 24 observations = 15.5 * 24 = 372

Mistake = 42 - 24 = 18

So actual sum = 372 -18

= 354

Correct mean = 354 / 24

= 14.75

2259.

Find the least number which when divided by 6, 15 and 18 leave remainder 5 in ee.

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To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.

L.C.M. of 6, 5 and 186 = 2*315 = 3*518 = 2*3*3

L.C.M. of 6, 15 and 18 = 2*3*3*5 = 90

Now,5 + 90 = 95

Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.

2260.

(-13)/7 %2B (-8)/9 %2B 4/7 %2B 17/21

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-86/3 plz like and comment

- 86/ 3 plz like and comment

-86/3 is the correct answer of the given question

2261.

-10*n^4 - n^3 %2B 17*n^4 %2B 2*n^3

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7n^4 + n^3(a calculator was used)

2262.

17*(-4) %2B 33

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-35 is Right answer.

17×(-4)-(-3)×11=(-68)-(-33)=(-68)+33=(-35)your answer is (-35)

-35 is the correct answer of the given question

2263.

(2*sin(63)^2 %2B 1 %2B 2*sin(27)^2)/(-2 %2B 3*cos(17)^2 %2B 3*cos(73)^2)

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2264.

(A) mean of 100 observations is 50, but a data 75 is misread as 175, find correct mean.R) mean of 50 observations is 16, but a data 20 is missed, find correct mean.(15)bos is 70 mean marks of girls is

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2265.

The mean of 40 observations was 160. It was detected on rechecking that the value 165was wrongly copied as 125 for computation of mean. Find the correct mean.

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Mean * total number of observations = sum of all observations.Sum = 40 *160 = 6400Now we have taken 125 instead of 165 so the sum must be 6440Mean = 6440/40 = 161.

2266.

3. The mean of 40 observations was 160. It was detected on rechecking that the value 165was wrongly copied as 125 for computation of mean. Find the correct mean.

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2267.

correct mean.The mean of 11 observations is 17.5. If an observation 15 is deleted, find the meanof remaining observations.11 . 1.1.1..2 Dind the miccing frequency in it

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[(17.5 x 11)-15]/10 hence the answer will be 17.75

17.5*11=192.5 is the total observation192.5-15=177.5Now,mean=177.5/10=17.75

2268.

Arun scored 36 marks in English, 44 marks in Science, 75 marks in Mathematics and x marks inGeography If the average marks scored by him is 50, then the value ofx is-

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2269.

9. A candidate scored 25% marks in an examination and failed by 30 marks while another candidate whothe minimum pass marks. Find the maximum marks andscored 50% marks got 20 marks more thanminimum pass marks

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Let the maximum marks be 'x'.Then, according to the question.(25 % of x) + 30 = (50 % of x) - 20⇒ x/4 + 30 = x/2 - 20⇒ (x/4) - (x/2) = - 20 - 30⇒ (x - 2x)/4 = - 50⇒ - x/4 = - 50⇒ - x = - 200⇒ x = 200So, the maximum marks are 200.

Minimum passing marks are = x/4 + 30= 200/4 + 30= 50 + 30= 80 marks

Minimum passing marks are 80.

2270.

Q17.A scored 30% marks and failed by 15 marks. B scored 60% marks and obtained 35 marks more than thoserequired to pass. What is the pass percentage?

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let total marks=100xgot 30xpass marks=30x+152nd case got =60xpass marks=60x-35A/S60x-35=30x+1530x=45x=45/30=3/2total marks=100*3/2=150pass marks= 30*3/2+15=60pass %= 60*100/150 =40% of total marks = 45+15

2271.

Prove that \operatorname { cos } \frac { \pi } { 13 } \operatorname { cos } \frac { 9 \pi } { 13 } + \operatorname { cos } \frac { 3 \pi } { 13 } + \operatorname { cos } \frac { 5 \pi } { 13 } = 0

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2272.

OLO-14Sub: MathsREVISION WORKSHEET1. Three coins are tossed once, find the probability of getting atPROBABILITY:2 A dico ir elability of getting at least one head.

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H,t,t ,,t,h,h,,h,h,t,,t,t,h,,h,t,h,,t,h,t

2273.

rcle tuohich cenlangentthen.Hird.the value.叫ーAB-?

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2274.

If $A=\left[ \begin{array}{ccc}{0} & {4} & {3} \\ {1} & {-3} & {-3} \\ {-1} & {4} & {4}\end{array}\right]$ then prove that $A^{2}=1 .$ Hence show that $A^{-1}=A$

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2275.

What makes up the western border of South America?A. The Pacific cen

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A The Pacific Ocean

It is bordered on the west by the Pacific Ocean.

2276.

1.What is the measure of ZA + <B + LC + <D+below. Give reason to your answerB+ ZF in the figure givenP.

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2277.

(a)For what value of a the polynomial g(x)2x-3x is a /uctor of f(x)-xs-2x2 + ax-3a

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2278.

The nth term of an AP 6, 3, 0….. is the same as the nth term of AP 2, 0, - 2,…, find n.

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2279.

If m times the nth term of an AP is equal to n times its nth term, then show that (m + n)the term of an AP is zero

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thanks

2280.

If the mth term is1/n and nth term is 1/m then find mnth term

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Ashish

2281.

is nand nth term is m, where mn,find the pa termAP. ifterm

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2282.

.) Two A.P.'s are given 9, 7, 5,and 24, 21, 18,. .. .If nth term of both theprogressions are equal then find the value of n and nth term

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nth term are equalso 9+(n-1)(-2)=24+(n-1)(-3)n-1=15so n=1616th term=9-30=-21

Thank u

2283.

\ Aat n’rgi'& 1 am th gemh 5 2० bl !W8S 95— Sx +6 omd कर कै eश्र 6० Qpe}icionts

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We have polynomial p (x) =x^3- 2x^2 - 5x+ 6

So two verify 3 , -2 and 1 are zeros of our given cubic polynomial , we check As :

Atx = 3 we get

p ( 3) = ( 3 )^3- 2 ( 3 )^2 - 5( 3 ) + 6

p ( 3) = 27 - 18 -15 + 6

p ( 3) = 0

SO 3 is a zeros of our given polynomial .

Now Atx = - 2 we get

p ( -2) = ( -2 )^3- 2 ( -2 )^2 - 5( -2 ) + 6

p ( -2 ) = -8 - 8 + 10 + 6

p ( -2 ) = 0

SO -2 is a zeros of our given polynomialNow Atx = 1 we get

p ( 1 ) = ( 1 )^3- 2 ( 1 )^2 - 5( 1 ) + 6

p ( 1) = 1 - 2 -5 + 6

p ( 1 ) = 0

SO 1 is a zeros of our given polynomial .

So it is verified that 3 , -2 and 1 are zeros of given polynomial .

2284.

Solution: We have:33sx - sx= 5x 2 = 10+ b 5. find the values ofa3+√53-√5Questien 3. If a' and 'b' are rational numbers andF

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2285.

f the replacement set = {-7,-5,-3,-1, 0, 1, 3, find the solution set of :(i) x >一2(iv) -5 <xs5(ii) x> 2(vi) 0 sx 4.(v)-81

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thank you

2286.

5. Sx-1314(3

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2287.

4. यदि (x2 - 1) बहुपद px + qx3 +rx2 + sx+t का एक गुणनखंड है तो सिद्ध कीजिए किp+r+t = q+ 5 = 0

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2288.

¢ el Rl PRPIKहक) एड के साहा एच lkd| bl४. एटा. 2 32% 21 छ. 056 2 1४ फ "05o

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लाभ =(1140-950)*100/950 = 190*100/950 = 20%

2289.

५ ( )(D)B)(A)यदि रीना 12 मोबाइल फोन 188,160 में बेचती है जिनका क्रय ।मूल्य १ 14, 056 प्रति फोन है, तो उसे कुल कितना लाभ हुआ?

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2040 se 2060 tk ka profit hua hai

1624 rupees ka profit hua

it's answer is 1624 profit

19488 ₹ ka profit hua

19488 profit.........

₹19488 is the answer of the following

selling price of each phone = 14,056 ₹Actual selling price of 12 phone = 14,056 × 12 = ₹ 1,68,672but reena sale 12 phones on ₹ 1,88,160therefore she earn profit = 1,88,160-1,68,672= ₹ 19,488

2290.

number of students in the class.5. In aABC, 2Cz3LB#2(ZA+/B). Find the three angles.6. Draw the graphs of the equations Sx-y- 5 and 3x-y-3. Determinethe vertices of the triangle formed by these lines and the y axis.the co-ordinates of

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5. Let ∠C = 3∠B = 2∠(A+B) = x

∠C = x, -----(1)3∠B = x∠B = x/3 ----(2)2∠(A + B) = x∠A + ∠B = x/2∠A = x/2 - ∠B∠A = x/2 - x/3 -----(3)sum of the three angles in a triangle is 180degree∠A + ∠B + ∠C = 180x/2 - x/3 + x/3 + x = 180 [from(1),(2),(3)](3x - 2x + 2x + 6x)/6 = 1809x/6 = 180x = 180*6/9x = 20*6x = 120

thereforeA = x/2 - x/3 = 120/2 - 120/3 = 60 - 40 = 20B = x/3 = 120/3 = 40C = x = 120

2291.

. For what value of k are the points (k, 2-2k) (-k + 1, 2k) and (-4-k, 6-2k) are collinear

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1

2

2292.

1. i. I fCx) is continuous on 10, 8], defined asfor 0 Sx<2for 2 sx s 4for 4 <xs 8f(x) =x2 + ax + 6,3x + 2,2ar + 5b,Find a and b.

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of f(x) is continuous , then

f(2) = (2)²+a(2)+6 = 3(2)+2=> 10+2a = 8=> a = -1

also, f(4) = 3(4)+2 = 2*(-1)*(4) +5b=> 14 = 5b-8=> b = 22/5

f

2293.

find the product using identities (3r+1.5)(3r-2.5)

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2294.

ty6ry +20?6. (a) From the sum of 3r-y+ l and-y- 11, subtract 3r-y-1.

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Sum of (3x-y+11) +(-y-11) = 3x - 2y

Now subtract (3x - 2y)-(3x-y-11)= - y + 11 ans

2295.

a 4i +3j+2k (andb 3i +2k i (then

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2296.

TUTUPUU..5. Give examples of polynomials p(x), g(x),(x) and (x), which satisfy the division algorithmandO deg p(x) = deg 9(2) (ii) deg g(x) = deg rx) (i) degr =0(x)

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according to euclid division lemma (x)=g(x)*q(x)+r(x) , where q(x)≠0, degree of r(x)=0 or degree of r(x)<degree of g(x)

(i) degree of p(x)= degree of q(x) the degree of quotient or dividend can be equal , if the divisor is a constant (degree 0)

iam sorry i was not able to put whole answer

the degree of quotients or dividend can be equal, if the divisor is constant

2297.

(23) A fair coin is tossed 9 times. Find the probability that it shows head exactly 5 times.

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Ek Ghan ki Bhuja se semi hai iska vakra prasthiy kshetrafal tatha aayatan gyat

5/9 is the right answer

5/9 is the best answer me🙋🙋🙋🙋🙋

5/9 is the correct answer h

5/9 it is right answer

5/9 is correct solution.

5/9 is correct answer for me

5/9 is the correct answer

5/9 is right answer

5/9 is the correct answer h.

0.2460 is right answer

5/9 is correct answer

5/9 is correct answer for this Question

2298.

Give examples of polynomialspx), gto.gtx) andr(x), which satisfy the division algoritand1) degp(x) -deg gx)(ii) deg q(x)= deg r(x)(iii) degr(x)=0

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2299.

The sum of par sent ages of his father and his son is 10 years more than present age of mother . If the mother is 15 years older than the son ,then find the age of father after 5 years.

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2300.

(vi) 28p-0.056() 15Ankit is 7 years older than half of Arun's age. If Ankit is 35, how old is Arun?The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

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Let the age of arun be x

so, age of ankit = x/2+7 = 35

=> x/2 = 35-7 = 28=> x = 28*2 = 56 age of arun