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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.
| 26201. |
How many terms of the series 54,51,48...be taken so that their sum is513?explain the double answer |
| Answer» Given series is 54, 51, 48,...Here, a = 54, d = 51 - 54 = - 3Let number of terms be n, then their sumSn\xa0= 513{tex}\\Rightarrow{/tex}\xa0{tex}\\frac { n } { 2 }{/tex}\xa0[2a + (n - 1) d] = 513{tex}\\Rightarrow{/tex}\xa0{tex}\\frac { n } { 2 }{/tex}\xa0[2\xa0{tex}\\times{/tex}\xa054 + (n - 1) (- 3)] = 513{tex}\\Rightarrow{/tex}\xa0n (108 - 3n + 3) = 513\xa0{tex}\\times{/tex}\xa02{tex}\\Rightarrow{/tex}\xa0- 3n2\xa0+ 111n = 1026{tex}\\Rightarrow{/tex}\xa0- (3n2\xa0- 111n + 1026) = 0{tex}\\Rightarrow{/tex}\xa0n2\xa0- 37n + 342 = 0{tex}\\Rightarrow{/tex}\xa0(n - 18) (n - 18) = 0\xa0{tex}\\Rightarrow{/tex}\xa0n = 18 or 19Here, the common difference is negative and 19th\xa0term= 54 + (19 - 1)\xa0{tex}\\times{/tex}\xa0(- 3) = 0So, the sum of 18 terms as well as that of 19 terms is 513. | |
| 26202. |
Find the value of k,in which system of equation x 3y=2 and 2x ky=8 has no solution. |
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| 26203. |
In a family of 3 children find the probability of having atleast one boy |
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Answer» 2/3 or 1? 1. ? How 2/3 |
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| 26204. |
Derivation of section formula in coordinet geometry |
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Answer» It is in Ncert Yha kese kre ?? |
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| 26205. |
Which identity is used in(x-3)(x+3) |
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Answer» (a+b)(a-b)=a²-b² X²-y² X^2 - y^2 |
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| 26206. |
How can we find middle terms of AP |
| Answer» (a+b)(a-b)... correct? | |
| 26207. |
Root 5 is irrational proved |
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Answer» In chapter it is given in example Yha proof kese kre?? |
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| 26208. |
Sin3=3sin - 4sin-4 |
| Answer» Given that x = 30o\xa0we have to verify that sin 3x = 3sin x - 4sin3x.{tex}\\Rightarrow 3 x = 90 ^ { \\circ }{/tex}{tex}\\therefore\\sin 3 x{/tex}{tex}= \\sin 90 ^ { \\circ } = 1{/tex}and, 3sin x - 4sin3x{tex}= 3 \\sin 30 ^ { \\circ } - 4 \\sin ^ { 3 } 30 ^ { \\circ }{/tex}{tex}= 3 \\times \\frac { 1 } { 2 } - 4 \\left( \\frac { 1 } { 2 } \\right) ^ { 3 }{/tex}{tex}= \\frac { 3 } { 2 } - \\frac { 1 } { 2 } = 1{/tex}. | |
| 26209. |
Formula of area of rhombus |
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Answer» 4×area of∆AOB Multiply length of digonals ÷2 |
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| 26210. |
In circle of triangle abc touches the side bc,ca,ab, at d,e,f .if ab=ac .Prove that bd=cd |
| Answer» So easy | |
| 26211. |
3xxxx-6xx-8x+2 |
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| 26212. |
Ex:13.3 *6 |
| Answer» Please type the question | |
| 26213. |
Boards ki preparation kse chl ri h |
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Answer» Hi Hello friends I m Aakash from delhi Ishan ap ka k ho Okk.. No ishan it\'s apna uttarakhand... United Kingdom ???? Okkk I m from UK ????Board ki preparation bus??????????????????? And u ashia I am from delhi badiya Archita ap ka se ho jasi chalti h vase hi ?? ????? Sahi kaha ishan Badiya Bs chalye chalye bahut door chli gyi?? |
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| 26214. |
Pls send preboard papers. |
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Answer» How How How How......??????????????????? How?????? How ... how??? |
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| 26215. |
What is a tangent on a circle |
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Answer» The line which passes through only one point of a circle is known as a tangent to a circle. ORThe line which is perpendicular to the radius at the point of contact of a circle is known as a tangent to the circle. Any point of circle from which line can be drawn |
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| 26216. |
In the given figure an and CD are 2 diameter |
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| 26217. |
Smallest composite number? |
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Answer» 4 4 |
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| 26218. |
47359445754754-373583367 |
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Answer» I mean shivam What is this shivaji |
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| 26219. |
Which types of question come in exam |
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Answer» Its depend upon you that how you are studying nothing is hard if you will study hard then questions paper will be easy easy bt depends on u... |
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| 26220. |
Whole no |
| Answer» 0,1,2,3,4...n | |
| 26221. |
√3044 |
| Answer» 55.1724 | |
| 26222. |
What is progeny? |
| Answer» Next generation | |
| 26223. |
18=18+2(k-8÷40-k) |
| Answer» | |
| 26224. |
An equilateral triangle is inscribed in a circle of radius 6 cm . Find its side |
| Answer» Let {tex}\\Delta ABC{/tex} is an equilateral triangle of each side \' 2a\' inscribed in a circle of radius 6 cm and centre O.Draw {tex}AD \\bot BC{/tex} .Then ,BD = DC [In a equilateral triangle, perpendicular bisects the base]Also , O lies on AD [ In a equilateral triangle circumcentre and centroid coincides]Thus , OA : OD = 2 : 1{tex}\\Rightarrow \\frac{6}{OD}=\\frac{2}{1}{/tex}{tex}\\Rightarrow OD=3 cm {/tex}, then AD = 9 cmNow , using pythagoras theorem in {tex}\\triangle ABD{/tex}BA2 = BD 2 + AD2(2a)2 = (a)2 + (9)24a2 = a2 + 813a2 = 81a2 = 27we get {tex}a=3\\sqrt3{/tex}Side of triangle = 2a = {tex}2(3\\sqrt3){/tex} = {tex}6\\sqrt3{/tex}cm | |
| 26225. |
If sinA-cosA=1/2Find 1/sinA+cosA |
| Answer» 4(sinA-cosA) | |
| 26226. |
30a+44b=10 40a+55b=13 |
| Answer» What we have to find | |
| 26227. |
If cosA+sinA =√2cosA then show that (cosA -sinA)=√2 sin A. |
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| 26228. |
If sins=Cosa then find the value of 2tana+cos2a |
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| 26229. |
show that cube of the positive integer cab be of the form 4q+3 where q is some integee |
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| 26230. |
X=√5+√5+√5+√5+....... |
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| 26231. |
Linear equation graph is tough |
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Answer» I don\'t think soo Ya right said No it\'s easy u have to just practice more in that No |
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| 26232. |
What is an AP? |
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Answer» Vasa pta to h but i just try that is this app works correctly ?? arithmetic progression Arethametic chapter in maths? you đón t know |
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| 26233. |
2y= x |
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Answer» Find Fund kya krna hai ????? |
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| 26234. |
Find the 24th term of the AP -5,-5/2,0,-5/2... |
| Answer» 105/2 | |
| 26235. |
What is the probability of an 3,4,5and6coins tosed in stimulation |
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| 26236. |
If 3sinA+5cosA=5 , prove that 5sinA-3cosA=+-3 |
| Answer» i want answer of this question | |
| 26237. |
Find the value of P for which one root of the quadratic equation px2-14x+8=0;is 6 times the other |
| Answer» Let\xa0{tex}\\alpha{/tex}\xa0and\xa0{tex}6\\alpha{/tex}\xa0be the roots of equation.We have, {tex}px^2-14x+8=0{/tex} where a= p, b = -14, c = 8Sum of zeroes{tex} = -\\frac ba = -\\frac{-14}{p}{/tex}{tex}\\alpha +6\\alpha=\\frac{14}{p}{/tex}{tex}7\\alpha = \\frac{14}{p}{/tex}{tex}\\alpha = \\frac2p{/tex}............(i)Also, Product of the zeroes\xa0{tex} = \\frac 8p=\\frac ca{/tex}{tex}\\alpha \\times 6\\alpha = \\frac 8p{/tex}{tex}6\\alpha^2=\\frac 8p{/tex}From (i){tex}6(\\frac{2}{p})^2=\\frac 8p{/tex}{tex}6\\times \\frac {4}{p^2}=\\frac 8p{/tex}{tex}\\frac{6}{p^2}=\\frac2p{/tex}{tex}\\frac 62=\\frac{p^2}{p}{/tex}{tex}Hence, \\ p=3{/tex} | |
| 26238. |
spuare completing methad class 10 |
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| 26239. |
if a tower 30 m high casts a shadow 10√3 then what is the angle of elevation of the sun |
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Answer» Here not possible 60° Explain how 60 with diagram 60 Its 60 |
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| 26240. |
if a tower 30 m high casts a shadow 10√3 |
| Answer» What to find | |
| 26241. |
Find k,.if the quadratic equation 3x×x-k√3x+4,has equal roots? |
| Answer» +4 or-4 | |
| 26242. |
1+2+3+4+5+6+7+8+.....+................... infinite= |
| Answer» Infinity | |
| 26243. |
if the ratio of sum of first n term of two AP is (7n+1);(4n+27) find the ratio of m term |
| Answer» See the answer of this question in the R.D Sharma book. Example 21 page (9.35) | |
| 26244. |
determine the greatest no divided 9,11,13 leave remainder 1,2,3 |
| Answer» u need subtract remainder from given no. and find their h.c.f u get answer ,ok may be it helps | |
| 26245. |
Find the greatest number by which 2053 and 967 are divided, remainders 5 and 7 respectively |
| Answer» The required number divides (2053 - 5) ,I.e., 2048 and (967-7),I.e.,960 exactly. Now , 2048 =( power of 2 is 11) and 960 = ( power of 2 is 6 * 3 * 5) therefore HCF (2048,960)=( power of 2 is 6)=64 | |
| 26246. |
Solve the following quadratic equation for x: x square - 4 ax - b square + 4 a square=0 |
| Answer» Answer. (2a+b)or (2a-b) | |
| 26247. |
How to prove √5 is irrational .. |
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Answer» Thanks Disha Suppose it to be a rational no. =a/b (a & b are co-prime no. and b is not=0 .then solve it. Thanks for helping me Hi Neha is correct Neha you give incomplete answer At first,take it as rational then prove it irrational by contradiction. |
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| 26248. |
Sec = |
| Answer» Hypotanus upon base | |
| 26249. |
Thales theorum |
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Answer» BPT states if a line divides two sides of a triangle then corresponding lengths of side are equal. Jaspreet ek question h |
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| 26250. |
Prove Tangent are 90 degree angle |
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Answer» The shortest distance between two points is perpendicular distance therefore tangent of a circle is 90degree tocentre of a circle It is theorem that the tangent drawn on a circle makes a perpendicular angle at centre .so it is prove that tangent are 90°angle |
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