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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 35501. |
Prove that 6+root2 is irrational number |
| Answer» 6 +√2=a/b Here a nd b are co primes √2=a/b-6√2=a-6b/bWe know that √2is irrationalSo irrational = rational - rational/rational This cant be possibleSo√2is irrational | |
| 35502. |
Find the largest number then divides 247 and1029 living reminder 5 its case |
| Answer» The required number is the HCF of (245 - 5) and (1029 - 5) i.e., 240 and 1024.{tex}1024 = 240 \\times 4 + 64{/tex}{tex}240 = 64 \\times 3 + 48{/tex}{tex}64 = 48 \\times 1 + 16{/tex}{tex}48 = 16 \\times 3 + 0{/tex}{tex}\\therefore H C F \\text { is } 16{/tex}. | |
| 35503. |
(6x+5)(2x+3)= (4x+7)(3x+2) |
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Answer» 12x^ + 18x + 10x + 15 =12x^ + 8x +21x + 1412x^ +28x + 15=12x^+29x + 1412x^ +28x + 15-12x^-29x -14-x +1 answer 12x+18×+15+10×=12×+8×+14+21×x=1 ans |
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| 35504. |
If 6x=sec& 6÷x=tan& & = t ratio ( thita) |
| Answer» We have,6x = sec\xa0{tex}\\theta{/tex}........(i)and\xa0{tex}\\frac { 6 } { x } = \\tan \\theta{/tex} ........(ii)Adding (i) and (ii), we get{tex}6 \\left( x + \\frac { 1 } { x } \\right) = ( \\sec \\theta + \\tan \\theta ){/tex}.......(iii)Subtracting (ii) from (i), we get{tex}6 \\left( x - \\frac { 1 } { x } \\right) = ( \\sec \\theta - \\tan \\theta ){/tex}........(iv)Multiplying the corresponding sides of (iii) and (iv), we get{tex}36 \\left( x ^ { 2 } - \\frac { 1 } { x ^ { 2 } } \\right) = \\left( \\sec ^ { 2 } \\theta - \\tan ^ { 2 } \\theta \\right) = 1{/tex}{tex}\\Rightarrow 9 \\left( x ^ { 2 } - \\frac { 1 } { x ^ { 2 } } \\right) = \\frac { 1 } { 4 }{/tex} | |
| 35505. |
root 7.5 is an irrational |
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Answer» Roots are not in points may be Not possible |
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| 35506. |
3 ÷2511 |
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Answer» 0.00119474313 0.00119474313 |
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| 35507. |
Derivation of an=a+(n-1)d |
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| 35508. |
What is aim of studying locus |
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| 35509. |
What are blue print of math |
| Answer» | |
| 35510. |
Define circle. |
| Answer» A set of infinite points... | |
| 35511. |
44/ x+ y + 30 / x- y and 55 / x+y + 40/ x-y solve this equation by elimination method |
| Answer» Let 1/x+y be a and 1/x-y be b.then the eq. Becomes 44a+30b and 55a+40b.Solve it and find a and b. Put in let.Then,again solve. | |
| 35512. |
If k+1=sec2A(1+sinA)(1-sinA),find value of k |
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| 35513. |
Find the sum of all natural number from 100 to 200 which are divisible by 5 |
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| 35514. |
If HCF of two numbers are 1 then what type of numbers are they? |
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Answer» Prime numbers as well as coprime numbers..... Prime number... Prime numbers???? Prime numbers |
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| 35515. |
Chapter-8,9 |
| Answer» Trigonometry??? | |
| 35516. |
Prove the sin-cos+1/sin+cos-1=1/sec-tan |
| Answer» Its a very easy que......bt i can\'t solve it on the phone....it will be better for u ,if u down load the app "ncert solutions" | |
| 35517. |
All formula. Of trigo. |
| Answer» all written in ncert book | |
| 35518. |
a square +b square is formula of which equation |
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Answer» (a+b)(a-b) (a+b)^2-2ab |
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| 35519. |
if sec theta = x+1/x, prove that sec theta tan theta =2x or 1/2x |
| Answer» By the given condition of question\xa0{tex}\\sec \\theta = x + \\frac { 1 } { 4 x }{/tex}{tex}\\therefore \\quad \\tan ^ { 2 } \\theta = \\sec ^ { 2 } \\theta - 1{/tex}{tex}\\Rightarrow \\quad \\tan ^ { 2 } \\theta = \\left( x + \\frac { 1 } { 4 x } \\right) ^ { 2 } - 1 = x ^ { 2 } + \\frac { 1 } { 16 x ^ { 2 } } + \\frac { 1 } { 2 } - 1 = x ^ { 2 } + \\frac { 1 } { 16 x ^ { 2 } } - \\frac { 1 } { 2 } = \\left( x - \\frac { 1 } { 4 x } \\right) ^ { 2 }{/tex}{tex}\\Rightarrow \\quad \\tan \\theta = \\pm \\left( x - \\frac { 1 } { 4 x } \\right){/tex}{tex}\\Rightarrow \\quad \\tan \\theta = \\left( x - \\frac { 1 } { 4 x } \\right) \\text { or, } \\tan \\theta = - \\left( x - \\frac { 1 } { 4 x } \\right){/tex}CASE 1: When\xa0{tex}\\tan \\theta = - \\left( x - \\frac { 1 } { 4 x } \\right) :{/tex}\xa0In this case,{tex}\\sec \\theta + \\tan \\theta = x + \\frac { 1 } { 4 x } + x - \\frac { 1 } { 4 x } = 2 x{/tex}CASE 2: When\xa0{tex}\\theta = - \\left( x - \\frac { 1 } { 4 x } \\right) :{/tex}\xa0In this case,{tex}\\sec \\theta + \\tan \\theta = \\left( x + \\frac { 1 } { 4 x } \\right) - \\left( x - \\frac { 1 } { 4 x } \\right) = \\frac { 2 } { 4 x } = \\frac { 1 } { 2 x }{/tex}Hence,\xa0{tex}\\sec \\theta + \\tan \\theta = 2 x \\text { or } , \\frac { 1 } { 2 x }{/tex} | |
| 35520. |
Please prove area theorm |
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Answer» What is the my profit to follow you Follow me on brainly I\'d is vishal619212 Hi Hi ananya Please write question clearly. What area theorem? |
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| 35521. |
Find the HCF of x cube-3x+2 and x square-4x+3 Please answer it |
| Answer» 1 | |
| 35522. |
What is formula of ap-Sum; |
| Answer» n/2[2a+(n-1)d]=Sn or n/2(a+l) | |
| 35523. |
18:48::180: ? |
| Answer» 480 | |
| 35524. |
Cos 67_ sin 23 |
| Answer» Cos67-Sin23As we know that Cos(90-A)=SinACos67-Sin23=Cos67-Cos(90-23)=Cos67-Cos67=0 | |
| 35525. |
Time table of last board exam |
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| 35526. |
Gxhoff |
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| 35527. |
Find wether 55 is a term of the AP:7,10,13....or not . if yes,find which term it is? |
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Answer» Thank u ajay singh.... Yes,it is in AP:, and it\'s 55 term is 169.... |
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| 35528. |
Iss baar half yearly ke exams ka marks board m count hoga? |
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Answer» No, koi bhi marks add nahi honge only last term may jo board exams honge bs vo he hai humare pass es baar Aapk school mein three times exams honge ar jo do unme best honge vo hi count hoga exams mein ..............So agr half yearly vale achche nhi hue toh dont worry u have another chance Nhi ho ga No Not at all....Dont worry nhi add hoga marks Yes, of course........ Yes |
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| 35529. |
Sin (90-A) |
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Answer» Cos A Cos A Cos a |
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| 35530. |
In an ap of 50terms the sum of first 10terms is 210and sum of last 15 terms is 2565 find ap |
| Answer» Let a be the first term and d be the common difference of the given AP. Therefore, the sum of first n terms is given by{tex}S _ { n } = \\frac { n } { 2 } \\cdot \\{ 2 a + ( n - 1 ) d \\}{/tex}{tex}\\therefore{/tex}\xa0S10 = {tex}\\frac{{10}}{2}{/tex}{tex}\\cdot{/tex}(2a+9d) {tex}\\Rightarrow{/tex}5(2a+9d)=210{tex}\\Rightarrow{/tex}2a+9d=42. ...(i)Sum of last 15 terms = (S50 - S35).{tex}\\therefore{/tex}\xa0(S50\xa0- S35) = 2565{tex}\\Rightarrow{/tex}\xa0{tex}\\frac{{50}}{2}{/tex}(2a+49d)- {tex}\\frac{{35}}{2}{/tex}(2a+34d)=2565{tex}\\Rightarrow{/tex}\xa025(2a+49d)-35(a+17d)=2565{tex}\\Rightarrow{/tex}\xa0(50a-35a)+(1225d-595d)=2565{tex}\\Rightarrow{/tex}\xa015a+630d = 2565 {tex}\\Rightarrow{/tex}\xa0a + 42d = 171 ...... (ii)Therefore, on solving (i) and (ii), we get a=3 and d=4.Hence, the required AP is 3,7,11,15,19..... | |
| 35531. |
Chapter 10 read |
| Answer» Which subjects | |
| 35532. |
If A is an acute angle in a right angle triangle ABC,right angled at B,then prove that sinA+cosA>1 |
| Answer» | |
| 35533. |
What is the value of cot 90\' |
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Answer» 0 Value of cot 90 is 0 |
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| 35534. |
2xscure +3y=10 |
| Answer» What is the question plz write clearly | |
| 35535. |
3/2x+5/3y=7 9x-10y=14 is consistent or inconsistent |
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Answer» Inconsistent 6₹-&_(86; |
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| 35536. |
A a plus b ka square |
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Answer» (a+b)²= a²+2ab+b² A+b ka square =asquare +b square +2ab (a+b)^2= a2+ 2ab +b2 (a + b)2 = a2 + 2ab + b2 |
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| 35537. |
Chapter 6 triangle prove that theorem 6.4 |
| Answer» Isme maths nhi hoti | |
| 35538. |
Sin 23+Sin^2 67× Cos10+Cos^2 80 |
| Answer» U want this solution but how i do ihave done in copy how i show you | |
| 35539. |
How to prove that 3+√2 is a irrational number? |
| Answer» Let us assume , to the contray , that 3+/2 is rationalThat is why can find coprime a and b (b =0)such that 3+/2=a/bReranging , we get root 2=a/3bSince , 3, a and b aree integers,a/3b is rational , and so root 2 is rationalBut this contradicts the fact that root 2 is irrationalSo, we conclude that 3+root 2 is irrational | |
| 35540. |
Find the probability of having 53 Sunday in leap year and a non leap year |
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Answer» Your answer is wrong.The correct ans. Is 2/7 53/365 |
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| 35541. |
1+1/y power 8 =y power 8.find y |
| Answer» | |
| 35542. |
The three vertices of a parallelogram are (3,4), (3,8), and (9,8). Find the fourth vertex |
| Answer» Let A(3, 4), B(3, 8) and C(9, 8) be the given points.Let the fourth vertex be D (x, y){tex}A B = \\sqrt { ( 3 - 3 ) ^ { 2 } + ( 8 - 4 ) ^ { 2 } }{/tex}{tex}\\Rightarrow \\quad A B = \\sqrt { 0 + ( 4 ) ^ { 2 } }{/tex}{tex}\\Rightarrow \\quad A B = \\sqrt { 16 }{/tex}{tex}\\Rightarrow{/tex}\xa0AB = 4{tex}B C = \\sqrt { ( 9 - 3 ) ^ { 2 } + ( 8 - 8 ) ^ { 2 } }{/tex}{tex}\\Rightarrow \\quad B C = \\sqrt { ( 6 ) ^ { 2 } + 0 }{/tex}{tex}\\Rightarrow \\quad B C = \\sqrt { 36 }{/tex}{tex}\\Rightarrow{/tex}\xa0BC = 6{tex}C D = \\sqrt { ( x - 9 ) ^ { 2 } + ( y - 8 ) ^ { 2 } }{/tex}{tex}\\Rightarrow \\quad C D = \\sqrt { x ^ { 2 } + \\left( 9 ^ { 2 } \\right) - 18 x + y ^ { 2 } + \\left( 8 ^ { 2 } \\right) - 16 y }{/tex}{tex}\\Rightarrow \\quad C D = \\sqrt { x ^ { 2 } + 81 - 18 x + y ^ { 2 } + 64 - 16 y }{/tex}{tex}\\Rightarrow \\quad C D = \\sqrt { x ^ { 2 } - 18 x + y ^ { 2 } - 16 y + 145 }{/tex}{tex}A D = \\sqrt { ( x - 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } }{/tex}{tex}\\Rightarrow \\quad A D = \\sqrt { x ^ { 2 } + 9 - 6 x + y ^ { 2 } + 16 - 8 y }{/tex}{tex}\\Rightarrow \\quad A D = \\sqrt { x ^ { 2 } - 6 x + y ^ { 2 } - 8 y + 25 }{/tex}Since ABCD is a parallelogram and opposite sides of a parallelogram are equal.AB = CD and AD = BCAB = CDAB2 = CD2{tex}\\Rightarrow{/tex}\xa0x2 - 18x + y2 -16y + 145 = 16{tex}\\Rightarrow{/tex}\xa0x2 - 18x + y2 - 16y + 145 - 16 = 0{tex}\\Rightarrow{/tex}\xa0x2 - 18x + y2 - 16y + 129 = 0 ...(i)BC = ADBC2 = AD2x2 - 6x + y2 - 8y + 25 = 36{tex}\\Rightarrow{/tex}\xa0x2 - 6x + y2 - 8y + 25 -36 = 0{tex}\\Rightarrow{/tex}\xa0x2 - 6x + y2 - 8y - 11 = 0 ...(ii)Solving (i) and (ii), we getx = 9, y = 4{tex}\\therefore{/tex}\xa0The fourth vertex is D(9, 4). | |
| 35543. |
Does marks of half yearly is calculated in board result |
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Answer» In which school do you study No ... No No No Yes |
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| 35544. |
Find the HCF of x cube-3x+2 and x square-4x+3. |
| Answer» | |
| 35545. |
How to prove 2root 3 is irrational number |
| Answer» Let 2√3 be rational2√3 = p/q. ( where p and q are integer and q does not equal to 0)√3 = p/q ×2Irrational = RationalBut the contradicts that irrational does not equal to rationalSo, our supposition was wrongAnd 2√3 is irrational number | |
| 35546. |
Water in a canal 5.4m cbse 2017 clàss 10 |
| Answer» According to the question,we have the following information.Water flow in 1 hr = Area of cross-section {tex}\\times{/tex}\xa0Speed of water{tex}= 5 \\cdot 4 \\times 1 \\cdot 8 \\times 25000 \\mathrm { m } ^ { 3 }{/tex}=54×18×250\xa0Water flow in 40 minutes{tex}= 54 \\times 6 \\times 500 \\mathrm { m } ^ { 3 }{/tex}Irrigated area\xa0{tex}\\times \\frac { 10 } { 100 } = 54 \\times 6 \\times 500{/tex}Irrigated area\xa0{tex}= 54 \\times 6 \\times 500 \\times 10{/tex}{tex}= 1620000 \\mathrm { m } ^ { 2}{/tex} | |
| 35547. |
Instead of studying ncert maths book which reference book is the best please tell me |
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Answer» Rs I think RD is the best option.. Rd is best but we have to solve sample paper for good marks Rs....is also nice reference book for mths RD sharma According to me rd Sharna is best |
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| 35548. |
A shop gives 20%discount .what is would be tge sale rate of a dress matetial at ₹120 |
| Answer» A dress marked at Rs. 120Marked price = Rs. 120Discount = 20% of Rs. 120{tex} = Rs.\\frac{{20}}{{100}} \\times 120{/tex}= Rs. 24∴ Sale price = Marked Price – Discount= Rs. 120 – Rs. 24= Rs. 96 | |
| 35549. |
2019 sample paper kb tk aae ga |
| Answer» January tak | |
| 35550. |
Find a quadratic polynomial whose zeroes are 3 and 2 |
| Answer» xsquare -3x + 2 | |