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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your Class 11 knowledge and support exam preparation. Choose a topic below to get started.
251. |
Evaluate Cos930 |
Answer» | |
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 |
Answer» Jjddkd<br>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? | |
257. |
What are the subsets of the set A={phi,1}? |
Answer» Subsets - (phi), (1), (phi,1)<br>Subsets--- A (phi) and A (1) | |
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 |
Answer» | |
262. |
what is the use of construction and tangent in our day to day life ?? |
Answer» It is used<br>Nothing | |
263. |
log4.log3.log2x=0 |
Answer» x=8 | |
264. |
Range of f(x) = x² -1 |
Answer» (-1, infinite)<br>[-1, ♾️) | |
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? |
Answer» Range (-ve infinity,0) union 1 to infinity<br>Thanks for the answer but Could u please tell that how to calculate the range of this question.<br>Domain = R- {-1,1}Range = (0,1]<br>But I have asked the range<br>Domain of this question is R - {1,-1}. | |
267. |
What is open and closed intervals? Explain .. |
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.<br>Open interval : (2,3) ; end point not includeClosed interval : [4,5] ; end point include | |
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 |
Answer» | |
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 |
Answer» 8<br>I am?<br>Mai<br>I am also☺️☺️<br>Mai hu?? | |
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 |
Answer» | |
277. |
Value of sin 175 |
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<br>Good evening....kaise ho? Abhi to online hi class chal rahi hogi ........waise class 11 kaisa raha??????<br>Patna me bhi bahot halat kharab hai....<br>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<br>Glad to see you back but abhi to class 12 start hui hai....khatam kaha hua? | |
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 |
Answer» | |
280. |
If A = {2,3,4}, then what is P(A) |
Answer» Add null set to the top answer<br>(2),(3),(4,),(2,3),(3,4),(2,4),(2,3,4) | |
281. |
Send me all formulæ of lesson 15.please.?\u200d♂️✍ |
Answer» Baki sab ka kya hal hai?? Koi ata hai ki nahi.....<br>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....? ...<br>Hii bro ....kaise ho ..? Itte tym se kahaan the ...?<br>Hello seraj...how r u<br>Hlo | |
282. |
Find the common ratio of gp √7,√21,3√7... |
Answer» √3<br>√3<br>Root 3<br>3 | |
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 |
Answer» | |
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???? |
Answer» Kaisa gya exam<br>Thnks sona. | |
290. |
Which term of GP 2,1,1/2,1/4........ is 1/1024 |
Answer» | |
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 |
Answer» tan 60 °=√3<br>X=60° | |
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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