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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.
| 34151. |
√3+√5 is irrational no. |
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Answer» Yes ,it is proved by contradiction method Yes Yes Ya it\'s a good question Yes |
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| 34152. |
Exercise 3.7 question 3 |
| Answer» From NCERT | |
| 34153. |
Please its important can anyone give me important questions of real numbers |
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Answer» Ques12 ,16,83 Please see in this app . It\'s given here |
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| 34154. |
Divide 7x³-2x²+x⁴-6 by x²-3 |
| Answer» DJ | |
| 34155. |
5x-2x square |
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Answer» No explain easily 9x2 |
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| 34156. |
Can 0/0=2 |
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Answer» No, its not possibleIf 0/0=not defined How can it possible? |
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| 34157. |
Find the zeroes of the polybomial x square + 7x + 12 |
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Answer» -4 and -3 X square +3x +4x+12x(x+3)+4(x+3)(x+3) (x+4) The zeroes of given polynomial are (x+3)(x+4) 12 |
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| 34158. |
If alpha and beta are roots of X2+x-1 then find polynomial whose zeros are alpha+2 and bita+2 |
| Answer» alpha+beta=-1/1=-1alpha×beta=-1/1=-1so, alpha+2+beta+2=alpha+beta+4=-2+4=2and (alpha+2)(beta+2)=2(alpha+beta)+(alpha)(beta)+4=-2-1+4=1Thus, the required polynomial is f(x)=k(x^2-2x+1) | |
| 34159. |
Prove that√p+√q is a irrational ,wheee p and q are prime numbers |
| Answer» Suppose that {tex} \\sqrt { p } + \\sqrt { q }{/tex} is a rational number equal to {tex} \\frac { a } { b }{/tex}, where a and b are integers having no common factor.Now,\xa0{tex} \\sqrt { p } + \\sqrt { q } = \\frac { a } { b }{/tex}{tex} \\Rightarrow \\sqrt { p } = \\frac { a } { b } - \\sqrt { q }{/tex} (squaring both side){tex} \\Rightarrow \\quad ( \\sqrt { p } ) ^ { 2 } = \\left( \\frac { a } { b } - \\sqrt { q } \\right) ^ { 2 }{/tex}{tex} \\Rightarrow \\quad p = \\frac { a ^ { 2 } } { b ^ { 2 } } - 2 \\left( \\frac { a } { b } \\right) \\sqrt { q } + q{/tex}{tex} \\Rightarrow \\quad 2 \\left( \\frac { a } { b } \\right) \\sqrt { q } = \\frac { a ^ { 2 } } { b ^ { 2 } } + q - p{/tex}{tex} \\Rightarrow \\quad 2 \\frac { a } { b } \\sqrt { q } = \\frac { a ^ { 2 } + b ^ { 2 } ( q - p ) } { b ^ { 2 } }{/tex}{tex} \\Rightarrow \\quad \\sqrt { q } = \\frac { a ^ { 2 } + b ^ { 2 } ( q - p ) } { 2 a b }{/tex}{tex} \\Rightarrow \\sqrt { q }{/tex}\xa0is a rational number. (because sum of two rational numbers is always rational)This is a contradiction as\xa0{tex} \\sqrt { q }{/tex}\xa0is an irrational number.Hence,\xa0{tex} \\sqrt { p } + \\sqrt { q }{/tex}\xa0is an irrational number. | |
| 34160. |
Evaluate [2,5] - (2,5) |
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| 34161. |
???22? |
| Answer» ...???? | |
| 34162. |
Prove that √p is an irrational number |
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| 34163. |
Prove √5 as irrational |
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Answer» Proof = (contradiction method ) Let √5 is a rational P/q=√5 (p and q coprime) Square both sides P2 /q2 = 5 P2 = 5 q2 equations (1) 5 divides p2 5 divides p equation (2) Let p= 5 M Square both sides P2=25M2 Put p2 =5q2 from eq (1) 5 q2 = 25 m2 q2=25m2/5 q2=5m2 5 divides q2 5 divide q (3) From (1) and (3) 5 is factor of both p and q P and q are not coprime ( from equation (1) ) This is contradiction of our assumption P and q are coprime So, our assumption is wrong Hence, √5 is a irrational Proved Not possible in this app |
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| 34164. |
what is the equation of a line passing through 2,10 ? how much other such line exist ? |
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| 34165. |
A block |
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| 34166. |
solve 3(2u+v)=7uv 3(u+3v)=11uv |
| Answer» u=1 , v=3/2 | |
| 34167. |
What is value of 0 |
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Answer» X^y - X^y 0 Ofcourse 0 yr what a stupid question u put ???totally useless. 0 |
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| 34168. |
If alpha beta and gamma RE zeroes of polynomial cube-2xsquare+x-r and alpha+beta =0.show that 2q=r |
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| 34169. |
Cbse will release the result of class 10 in cgpa or percentage |
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Answer» Cgpa Cgpa dear??? cgpa Percentage |
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| 34170. |
Split the middle term of 2x²+2x-2 |
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| 34171. |
Prove that(-2+√5) is irrational? |
| Answer» Not possible in this app | |
| 34172. |
Formulas of arthemitic progression |
| Answer» Tn = a+(n-1)dSn = n/2 [2a+(n-1)d] or n/2 (a+l)A.M = (a+B)/2nth term from last = l-(n-1)d | |
| 34173. |
Factorise 10 square +19x-156=0 |
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| 34174. |
Linear inequation |
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| 34175. |
Exercise 2.2 |
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| 34176. |
P(x)=x3-3x-1,x5-4x3+x2+3x+1 |
| Answer» q(X)=X²-1 and r(X)=0 | |
| 34177. |
sir which book should prefer best for maths... except ncert |
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Answer» S chand Most used -RS Aggarwal ..and second one is rd sharma |
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| 34178. |
How to solve\u200b kx(x-2)+6=0 |
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Answer» ? My head is acaking ?? Ask questions from any other subjects I see Nhi bhut dimag khrab hota h ?? U don\'t know maths Oooo Ask social questions.. |
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| 34179. |
8x+5y=9 |
| Answer» We can apply (ax+by-c)formula | |
| 34180. |
1/sin A = |
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Answer» Cosec A cosec A Cosec A |
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| 34181. |
If x and y are odd pos. Integers then proofs x2 plus y2 is even but not divisible by 4 |
| Answer» Let x = 2p + 1 and y = 2q + 1{tex}\\therefore \\quad x ^ { 2 } + y ^ { 2 } = ( 2 p + 1 ) ^ { 2 } + ( 2 q + 1 ) ^ { 2 }{/tex}{tex}= 4 p ^ { 2 } + 4 p + 1 + 4 q ^ { 2 } + 4 q + 1{/tex}{tex}= 4 \\left( p ^ { 2 } + q ^ { 2 } + p + q \\right) + 2{/tex}{tex}= 2 \\left( 2 p ^ { 2 } + 2 q ^ { 2 } + 2 p + 2 q + 1 \\right){/tex}{tex}= 2 m \\quad \\text { where } m = \\left( 2 p ^ { 2 } + 2 q ^ { 2 } + 2 p + 2 q + 1 \\right){/tex}{tex}\\therefore \\quad x ^ { 2 } + y ^ { 2 }{/tex}\xa0is an even number but not divisible by 4.\xa0 | |
| 34182. |
Write a rational numbers lying between root 2 and root 3 |
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| 34183. |
Obtained all the zeroes of the polynomial x4-16x3+86x2-176x+105 if two zeroes are 1 and 7 |
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| 34184. |
Sir, How can we study Trigonometry Questions Easily |
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| 34185. |
Solve the following system of equation by cross-multiplication method 2x-y-3=0 \'4x+y-3=0 |
| Answer» X=1,Y=-1 | |
| 34186. |
Solve for x; x-25/7 |
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| 34187. |
49x-57y=172:57x-49=52 |
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| 34188. |
Prove that 4-/5is an irrational number |
| Answer» As /5 is irrational so 4-/5 will also be irrational | |
| 34189. |
Use euclid division algorithum to find the hcf of 405 and 2520 |
| Answer» Firstly find prime factorisation of 405 and 2550 and watch common in both with lowest power that\'s hcf | |
| 34190. |
If a is non zero rational and b is irrational then show that about is irrational |
| Answer» Hi deepanshi chauhan .Me Aditi Chauhan | |
| 34191. |
If the zeros of the polynomial(a2+9)x2+13x+6a is the reciprocal of the other,find the value of a |
| Answer» Let {tex} \\alpha{/tex}\xa0and\xa0{tex} \\frac { 1 } { \\alpha }{/tex} be the zeros of\xa0(a2\xa0+ 9)x2\xa0+ 13x\xa0+ 6a.Then, we have{tex} \\alpha \\times \\frac { 1 } { \\alpha } = \\frac { 6 a } { a ^ { 2 } + 9 }{/tex}⇒\xa01 =\xa0{tex} \\frac { 6 a } { a ^ { 2 } + 9 }{/tex}⇒\xa0a2\xa0+ 9 = 6a⇒ a2 - 6a + 9 = 0⇒\xa0a2\xa0- 3a - 3a + 9 = 0⇒\xa0a(a - 3) - 3(a - 3) = 0⇒\xa0(a - 3) (a - 3) = 0⇒\xa0(a - 3)2\xa0= 0⇒\xa0a - 3 = 0⇒ a = 3So, the value of a in given polynomial is 3. | |
| 34192. |
plzz solve |
| Answer» okk | |
| 34193. |
What is resistivity |
| Answer» Resistivity is resistance of that particle which has a length of 1m and cros-sectional are is 1m^2 | |
| 34194. |
Define rational number???????? |
| Answer» The number is in the form of p/q where p&q are integers and q isn\'t equal to 0 | |
| 34195. |
45778fygvdd |
| Answer» [email\xa0protected]+4$!ratchet | |
| 34196. |
Rs agrwal book is not available |
| Answer» You can buy it online on Amazon or other sited | |
| 34197. |
What is the different between whole numbers and natural numbers |
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Answer» The whole numbers are all the counting numbers including 0.The natural numbers all the counting number from 1,2,3,,,,And so on.Hope it helps :-) Whole no.include 0 also but natural no.starts from 1 to 10000so on Whole no. include 0 alsoAnd natural number starts from 1 |
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| 34198. |
Prove cetre segment is double the tangent |
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| 34199. |
Write three number whose decimal exp are non terminating non recuring |
| Answer» Here are the three no.★ 0.2322322233678.....★1.67679998885778.....★7.1122334478936......★4.1637848427375.....Hope it helps? ? | |
| 34200. |
Find the largest number that divides 2053 and 967 and leaves a remainder of 5 and 7 respectively |
| Answer» As they both leave remainders . So to maje tgem exactly dividible we will subtract remainders from the numbers . Therefore , 2053-5 , 967-7 Tge nubers eill be 3048 , 960 Now , find their H.C.F . | |