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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.
| 251. |
Evaluate Cos930 |
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| 252. |
√3-1/√3+1=2-√3= how??Pls help |
| Answer» By rationalising..(√3-1/√3+1)×(√3-1/√3-1) = (√3-1)²/(√3)²-(1)²[(a+b)(a-b)=a²-b²]= (3+1-2√3)/2 [(a-b)²=a²+b²-2ab]= (4-2√3)/2= 2(2-√3)/2= 2-√3= RHS | |
| 253. |
Calculate the arithmetic mean of a,a+d,a+2d,........a+(n+1)d |
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| 254. |
If z and z1 are complex no. Such that 2z/3z1 is purely imaginary then prove that!z-z1/z+z1!=1 |
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| 255. |
Write the following (1-2) as complex number 1: √_27 |
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| 256. |
if a b c are any three sets then a-(buc) is equal to |
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Answer» Jjddkd Let x be any element of A - (B ∩ C). Then, x ∈ A - (B ∩ C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and (x ∉ B or x ∉ C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and (x ∉ B or x ∉ C)⇒ (x ∈ A and x ∉ B) or (x ∈ A and x ∉ C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and (x ∉ B or x ∉ C)⇒ (x ∈ A and x ∉ B) or (x ∈ A and x ∉ C)⇒ x ∈ (A - B) or x ∈ (A - C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and (x ∉ B or x ∉ C)⇒ (x ∈ A and x ∉ B) or (x ∈ A and x ∉ C)⇒ x ∈ (A - B) or x ∈ (A - C)⇒ x ∈ (A - B) ∪ x ∈ (A - C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and (x ∉ B or x ∉ C)⇒ (x ∈ A and x ∉ B) or (x ∈ A and x ∉ C)⇒ x ∈ (A - B) or x ∈ (A - C)⇒ x ∈ (A - B) ∪ x ∈ (A - C)∴ A - (B ∩ C) ⊆ (A - B) ∪ (A - C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and (x ∉ B or x ∉ C)⇒ (x ∈ A and x ∉ B) or (x ∈ A and x ∉ C)⇒ x ∈ (A - B) or x ∈ (A - C)⇒ x ∈ (A - B) ∪ x ∈ (A - C)∴ A - (B ∩ C) ⊆ (A - B) ∪ (A - C)Similarly, (A - B) ∪ (A - C) ⊆ A - (B ∩ C)⇒ x ∈ A and x ∉ (B ∩ C)⇒ x ∈ A and (x ∉ B or x ∉ C)⇒ (x ∈ A and x ∉ B) or (x ∈ A and x ∉ C)⇒ x ∈ (A - B) or x ∈ (A - C)⇒ x ∈ (A - B) ∪ x ∈ (A - C)∴ A - (B ∩ C) ⊆ (A - B) ∪ (A - C)Similarly, (A - B) ∪ (A - C) ⊆ A - (B ∩ C)Hence, A - (B ∩ C) = (A - B) ∪ (A - C)Step-by-step explanation:HOPE THIS WILL HELP YOUTHANKS? |
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| 257. |
What are the subsets of the set A={phi,1}? |
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Answer» Subsets - (phi), (1), (phi,1) Subsets--- A (phi) and A (1) |
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| 258. |
X ki power 135 + X ki power 135 =4X ki power 135 + X ki power 135 = ? |
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| 259. |
Angle made by y=1/√3x+2 with +ve x axis is |
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| 260. |
Ex=3.2 |
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| 261. |
Why we dont use the word radian after pi |
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| 262. |
what is the use of construction and tangent in our day to day life ?? |
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Answer» It is used Nothing |
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| 263. |
log4.log3.log2x=0 |
| Answer» x=8 | |
| 264. |
Range of f(x) = x² -1 |
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Answer» (-1, infinite) [-1, ♾️) |
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| 265. |
Domain of f (x)=7 |
| Answer» Is alway 7 because they are not contain any variable only constant they contain so Answer is 7 | |
| 266. |
Find the range of 1/1- x²? |
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Answer» Range (-ve infinity,0) union 1 to infinity Thanks for the answer but Could u please tell that how to calculate the range of this question. Domain = R- {-1,1}Range = (0,1] But I have asked the range Domain of this question is R - {1,-1}. |
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| 267. |
What is open and closed intervals? Explain .. |
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Answer» An open interval does not include its endpoints and is indicated with parentheses. For example, (0,1) describes an interval greater than 0 and less than 1. A closed interval includes its endpoints and is denoted with square brackets rather than parentheses. Open interval : (2,3) ; end point not includeClosed interval : [4,5] ; end point include |
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| 268. |
Prove that A is subset of empty set implies A= empty set . |
| Answer» Because every set have a sub set called empty set which is denoted by (fie). | |
| 269. |
5tan2 |
| Answer» 10.9251993163 is the answer | |
| 270. |
cos15 - sin 15 |
| Answer» Write it as cos (45-30) - sin(45-30)Now open both the functions as\xa0= cos 45 cos 30 + sin 45 sin 30 - sin 45 cos 30 + sin 30 cos 45Putting the values as learned in class X{tex}{1\\over \\sqrt2} *{\\sqrt3\\over2} +{1\\over \\sqrt2} *{1\\over2} - {1\\over \\sqrt2} *{\\sqrt3\\over2} +{1\\over2} *{1\\over \\sqrt2} {/tex}Solving we get= {tex}1\\over\\sqrt2{/tex}Answer.\xa0\xa0\xa0 | |
| 271. |
If r is symmetric relation on set A ,then write a relation between R and R complement |
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| 272. |
If R is the set of all real numbers , what do the Cartesian product RxR and RxRxR represent ? |
| Answer» Parallel to y axis | |
| 273. |
Kon kon 11 ka new student hai |
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Answer» 8 I am? Mai I am also☺️☺️ Mai hu?? |
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| 274. |
Byiknu |
| Answer» Biknu | |
| 275. |
If a and b are natural no such that (1/a)^1/b=0•3 bar then the value of ab can be _____ |
| Answer» 3 | |
| 276. |
If the sum of the digits of a no (10^n-1)is 4707 where n is a natural no then the value of n is |
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| 277. |
Value of sin 175 |
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Answer» Good evening .. mai thik hu tum kaise ho ? Ha abhi bas online hi chal rhi h tumhara bhi toh online hi hoga na ... class 11 ? kya hi bolun mai last ke 1 month ok pata chala k annual exams honge aur phle course complete the but fr v last 1 month bhut pdhna pda qki revise nhi ki thi aur last exam vle din bol rhe h k tum logo ka result nhi aayega? . Tumhara kaisa rha ?? Qsn drop krlena ek naya vla ok Good evening....kaise ho? Abhi to online hi class chal rahi hogi ........waise class 11 kaisa raha?????? Patna me bhi bahot halat kharab hai.... Arey yaar bhut corona h isiliye mai ghar aagyi hu..80% bhubaneswar se hi h toh socha tum logo se ek baar mil v lu Glad to see you back but abhi to class 12 start hui hai....khatam kaha hua? |
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| 278. |
cos 765° |
| Answer» cos 765=\xa0cos (765 - 360)= cos (405)= cos (405 - 360)= cos (45)= (sqrt2)/2 | |
| 279. |
Write the range of the function f(x) = sin [x] , where -π/4 ≤ x ≤ π/4 |
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| 280. |
If A = {2,3,4}, then what is P(A) |
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Answer» Add null set to the top answer (2),(3),(4,),(2,3),(3,4),(2,4),(2,3,4) |
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| 281. |
Send me all formulæ of lesson 15.please.?\u200d♂️✍ |
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Answer» Baki sab ka kya hal hai?? Koi ata hai ki nahi..... Badhiya hu bhai....aree yarr pahle hamko laga ki exam nahi dena padega 11 ka ...but jab pata chala ki dena hi hai....to serious hogaya padhai me....? ... Hii bro ....kaise ho ..? Itte tym se kahaan the ...? Hello seraj...how r u Hlo |
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| 282. |
Find the common ratio of gp √7,√21,3√7... |
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Answer» √3 √3 Root 3 3 |
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| 283. |
Guy\'s final exam kab se hai. In delhi??. |
| Answer» 3 May | |
| 284. |
fill in the blank 1×2×3×4......110×111=...... |
| Answer» 1.76295255E+180 | |
| 285. |
differentiate x^n logxe^x with respect to x |
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| 286. |
evaluate lim x→0 roota^2-x^2 - roota^2-x^2/x^2 |
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| 287. |
find the ninth term of progression 1/4 , -1/2 , 1 ,-2 _ _ _ _ _ _ _ _ | |
| Answer» 64 | |
| 288. |
Question paper send krdo koii |
| Answer» Bhai yha kaise karte hai nahi pta? | |
| 289. |
BEST OF LUCK FOR YOUR EXAM. ALLL OF YOU???? |
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Answer» Kaisa gya exam Thnks sona. |
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| 290. |
Which term of GP 2,1,1/2,1/4........ is 1/1024 |
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| 291. |
Cos(x+y)=cosxcosy-sinxsiny show sin2x cos2x |
| Answer» Cos(x+x) = cosxcosx-sinxsinxCos2x = cos^2 x - sin^2 x = 2cos^2 x - 1 =1 - 2sin^2 xWe know that sin(x+y) = sinxcosy+cosxsiny => sin(x+x) = sinxcosx+cosxsinx => sin2x = 2sinxcosx | |
| 292. |
Use delta method to find the derivative of cos (3x+5) |
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| 293. |
Find Derivatives of Y=tanx |
| Answer» dx/dt Y = dx/dt tanx Sec^2x | |
| 294. |
2+3 sin x + 4 cos x |
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| 295. |
Find the equation of set of points |
| Answer» Infinite set | |
| 296. |
If the words are written as in a dictionary what will be the 26th word |
| Answer» Which word | |
| 297. |
How to calculate (B-C)\' |
| Answer» First we calculate B-C and then subtract from universal set (U) the answer is come | |
| 298. |
Find the principal and general solutions of the tanx=root3 |
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Answer» tan 60 °=√3 X=60° |
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| 299. |
Find the equation of the circle with center (0,2) and radius (2) |
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| 300. |
Cot square theta upon( 1 - cosec theta ) square equal to 1 + sin theta upon 1- sin theta |
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