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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.
| 43001. |
Given a=2,d=8,sn=90, find the n and a |
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Answer» Sn = n/2 (2a + (n-1)) Sn = n/2 ( 4 + 8n -8) Sn = n/2 (8n - 4)90 = -2n + 4n^2 4n^2 - 2n - 90 = 0 2(2n^2 - n - 45 = 0)2n^2 - n - 45 = 02n^2 - 10n + 9n - 45 = 02n(n-5) 9(n-5) = 0(n-5) (2n + 9) = 0 "n" can\'t be negative or in fraction so.., n = 5 We know that Sn=n/2[2a+(n-1)d]Now,90=n/2[4+(n-1)8]90=n/2(4+8n-8)180=n(4+8n-8)180=n(8n-4)180=8n^2-4n8n^2-4n-180=04(2n^2-n-45)=02n^2-n-45=02n^2-10n+9n-45=02n(n-5)+9(n-5)=02n=-9,n=-9/2 n-5=0,n=5 |
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| 43002. |
17*5*11*3*2plus2*11 |
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Answer» 5632 is the right answer, with using bodmas. 2827 using bodmas 5632 ,using bodmas |
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| 43003. |
HCF of 126 and 35 is H.if H is expressed as H=126*A+35*B prove that A*b÷H= -2 |
| Answer» 126 = 2 X 3 X 3 X 7to prove A X B÷ H= -2-------(i) 35 = 5 X 7so, H.C. F. of (126, 35) is = 7according to question H = 126 X A + 35 X B7 = 126A+35B7 = 7(18A+5B)1 = 18A+5Bhere 1 is possible if A = 2, B= -7now put these values in eqn---(i)2 X (-7)÷ 7 = -2, hence proved | |
| 43004. |
5x²+8x-4=0 |
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Answer» 5x²+8x-4=05x²+(10-2)x-4=05x²+10x-2x-4=05x(x+2)-2(x+2)=0(5x-2)(x+2)=0So, (x=⅖) & [x=(-2)] 5x²+8x-45x²+(10-2)x-45x²+10x-2x-45x(x+2)-2(x+2)(x+2),(5x-2)x=-2,x=2/5 5x2 + 8x - 4 = 05x2 + 10x - 2x - 4 =0 5x(x+2) -2(x+2) = 0(5x-2) (x+2) = 0X = -2, 2/5 |
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| 43005. |
What is inteser |
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Answer» First of all learn the spelling of integer!! A integer is defined as a no. That can written without a fractional components |
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| 43006. |
Ch 7 ex 7.1 |
| Answer» Hello | |
| 43007. |
If mode= 6, median= 5.8, find the mean |
| Answer» since mode = 3median - 2mean (emperical formula)therefore mean = 3median-mode/2= 3*5.8-6/2= 11.4/2= 5.7 | |
| 43008. |
What is number ? |
| Answer» Ghost! | |
| 43009. |
Show that positive integer is in form of 8m+1 |
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| 43010. |
Sample paper 2 solutions |
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| 43011. |
If ad #bc then prove the equation (a²+ b²) x² + 2 (ac+bd)x+(c²+d²) =0 has no real roots |
| Answer» D=b²-2ab =2²(ac+bd)² - 4(a²+b²)(c²+d²) =4(a²c²+b²d²+2acbd) - 4(a²c²+a²d²+b²c²+b²d²) =4(a²c²+b²d²+2acbd - a²c²+a²d²+b²c²+b²d²) =4(2acbd - a²d² - b²c²) = -4(a²d²+b²c² - 2acbd) = -4{ (ad)² + (bc)² - 2(ad)(bc) } = -4 (ad - bc)² : - Hence, the value of the Discriminant will be negative. : - So, the equation will have no real roots. Good Bye ! ? | |
| 43012. |
If 12th term of an ap is 213 and the sum of its 4 terms is 24, then what is the sum of its 10 terms? |
| Answer» This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html Few rules to keep homework help section safe, clean and informative. Don\'t post personal information, mobile numbers and other details. Don\'t use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions. Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying. Ask specific question which are clear and concise. Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions. | |
| 43013. |
A positive |
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| 43014. |
9x²+6px+(p²-q²)=0 |
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Answer» a= 9 ,b=-6p ,c=(p^-q^) D= b^-4ac This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html Few rules to keep homework help section safe, clean and informative. Don\'t post personal information, mobile numbers and other details. Don\'t use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions. Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying. Ask specific question which are clear and concise. Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions. |
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| 43015. |
x^2+7x+10=0 find the roots |
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Answer» x²+7x+10=0x²+5x+2x+10=0x(x+5)+2(x+5)=0(x+2)(x+5)=0x=-2 ; x=-5 X2+7x+10=0X2+5x+2x+10 =0X(x+5)+2(x+5)=0(x+5)(x+2) =0x=-5,x=-2 |
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| 43016. |
What is tsa of sphere |
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Answer» 4πr² 4π(r)square 4pie R square |
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| 43017. |
show that root 11 + root 7 is irrational |
| Answer» √11+√7Let, a= √11+√7a= √11+√7a-√11=√7(a-√11)²=(√7)²a²-2√11a+11²=49a² -2√11a+121 = 49a²-2√11a+121-49=0a²-2√11a+72=0but √11 is irrational numberso √11+√7 is an irrational number | |
| 43018. |
Show that the cube of any positive integer of form 4m,4m+1, |
| Answer» | |
| 43019. |
Show that (a-b)², (a²+b²) , (a+b)² are in AP |
| Answer» For being in AP common difference of successive terms of an AP be equal(a^2+b^2)-(a-b)^2=(a+b)^2-(a^2+b^2)LHS = (a^2+b^2)-(a-b)^2= a^2+b^2-a^2-b^2+2ab=2abRHS = (a+b)^2-(a^2+b^2)=a^2+b^2+2ab-a^2-b^2=2abTherefore, LHS=RHSHence, the common difference among successive terms is equal .So, the given terms are in AP. | |
| 43020. |
If x-6 is a factor of x3+ax2+bx -b and a-b=7, find the value of a and b |
| Answer» x-6=0x=6 Put x=6 in given equationx3+ax2 +bx-b=0(6)3+a(6)2 +b(6)-b=018+12a+6b-b=06(3+2a+b-b)=03+2a+b-b=0------(1)a-b=7 (given)a=b+7-----(2)Put eq 2 in eq 13+2(b+7)+b-b=03+2b+14+b-b=017+2b=0 b=-17/2Put value of b in eq 2a-b=7a-(-17/2)=7a+17/2=7a=7-17/2a=14-17/2a=-3/2 | |
| 43021. |
For some integers m every even integers is of th form |
| Answer» 2m | |
| 43022. |
2 add 2 |
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Answer» 4 4 4 4 |
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| 43023. |
Find the HCF of 4052 and 12576 |
| Answer» 12576 > 4052a=bq+r12576= 4052×3+420 4052=420×9+272 420=272×1+148272= 148×1+124148=124×1+24124=24×5+424=4×6+0HCF =4 | |
| 43024. |
X+y = 5 and 2x-3y=4 |
| Answer» y= 6x= 11 | |
| 43025. |
Prove that if x and y are odd positive integer then x + y Square |
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| 43026. |
1.1 q no .3 |
| Answer» | |
| 43027. |
Chapter 2 exercise 2.2, 1 part |
| Answer» 867and 225 | |
| 43028. |
Some on send the importance formula in maths basic term 2 |
| Answer» All formula\'s given in the all chapters are important, Mainly all AP formula and Statistics | |
| 43029. |
Solve - 2^2x+3-65(2^x+1)=57 find x. |
| Answer» -0.94 | |
| 43030. |
How to make equation? |
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Answer» By writing in note First clear and read the formula |
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| 43031. |
Find the unit digit |
| Answer» Quadratic equation | |
| 43032. |
Ex 3.2 q no 3 part 3 |
| Answer» | |
| 43033. |
Un grouped data me table banana zaroori hai kya |
| Answer» Yes | |
| 43034. |
Uncrupt data Diya Ho To usmein table banana padta hai ki nahin |
| Answer» | |
| 43035. |
Jeevan that HCF 306 657 is equal to 9 find LCM 306 657 |
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| 43036. |
Exercise 8. 1 solution |
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| 43037. |
Case study question of term 2 maths exam set 2 30/4/2 |
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| 43038. |
If β are zeros of the polynomial 3x2 + 5x +2 find the value of 1/β+1/B |
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Answer» If α , β are the zeroes of 3x² + 5x + 2then ,α + β = -5/3αβ = 2/3Now,1/α + 1/β= β + α / αβ= -5/3 / 2/3= -5/2 Are you sure that question is described properly? |
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| 43039. |
P (x)=2x4 + 3x3 - 2x2 - 9x - 12. g (x)=x2 -3 |
| Answer» 2x2+3x+4 maybee | |
| 43040. |
All formula and definition from chapter 1 |
| Answer» | |
| 43041. |
Define electric motor |
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Answer» It is a device that converts electrical energy into mechanical energy. Fleming Left Hand rule is used in it. A device which converts electrical energy to mechanical energy. |
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| 43042. |
2-√3 prove that it is irrational number |
| Answer» | |
| 43043. |
Show that any positive odd integer is of the from 6q+1, or 6q+3, or 6q+ 5, where q is some integer |
| Answer» Hi | |
| 43044. |
7sin²A+3cos²A=4, show that tanA= 1/√3 by Trigonometry Ratios |
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| 43045. |
Check whether 75/455 is terminating or non-terminating decimal expansion. |
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| 43046. |
Find all zeros of polynomial 2x4-3x3-5x2+9x-3if two zeros are √3and-√3 |
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Answer» We can take root 3 as x - root 3 and - root 3 as x + root 3 . By identity (a+b) (a-b) = a² - b². The zeros are √3, -√3, 1/2, 1 |
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| 43047. |
4xsquare-4asquarex+(apower4-bpower4) =0 |
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| 43048. |
What is the hcf of 56 |
| Answer» Your question is incompleted | |
| 43049. |
2+2-4+5+10-24 |
| Answer» -9 | |
| 43050. |
How to find integer of polynomial |
| Answer» | |