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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
38. Using integration, find the area of the region bounded by the curves x2 + 2 |
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| 2. |
15. Ilow many terms of the G.P. 33069ate needed to give the sus512h the midunoi nf the line segment |
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Answer» a = 3 r = 1/2 Sum of n terms in a GP = a(1-r^n)/(1-r) So 3069/512 = 3(1-(1/2)^n)/(1-1/2) 3069/512*3*2 = 1- (1/2)^n 3069/3072 = 1- (1/2)^n (1/2)^n = 1- 3069/3072 (1/2)^n = 3/3072 (1/2)^n = 1/1024 (1/2)^n = (1/2)^10 Solving this equation we get the value of n = 10 Like my answer if you find it useful! thnxx😘😘😘 |
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| 3. |
EXERCISE 1.1LEVEL-1a rational number? Can you write it in the form , where p and q areNCERTintegers and q 0? |
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| 4. |
6. Prove that:(iii) Vi +、1-1-122 |
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Answer» i) ((1 + i) / √2)2= (1 + i)2/ 2= (1 + 2i + i2) / 2= (1 + 2i - 1) / 2= 2i / 2= iso√i = (1 + i) / √2 just solve for Z = (√-i) so, z² = -iz is complex and therefore can be represented by x + iy (x+iy)2= -i x2- y2+2xyi = -i xy = -1/2 x2- y2= 0 x = +/-y Therefore (x,y) = (1/sqrt(2),-1/sqrt(2)),(-1/sqrt(2),1/sqrt(2)) And z = 1/sqrt(2)(1-i) = 1/√2(1-i) |
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3. Find the area of the region bounded by the curvesy+2, y ,-0 and3. |
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| 6. |
EXERCISE 2-2Dama Rs( 44 88 1. Is R a relation or |
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Answer» Sorry we are currently answering question posted in English only |
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| 7. |
(iii)(vi)(ix)12 รท (-3) =-85 รทX (-8) ร 3 =-48 |
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| 8. |
(vi) Find the eccentricity of the ellipse3x^2 +4y^2= 12 |
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Answer» eccentricity nikalni he 3 kiska sqaure hogq |
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| 9. |
art board in class to do Exercise.ities :(iii) (a? - 62)2(vi) (41 + 5m)ducts :(ii)fa+c) |
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Answer» (a^2-b^2)is suitable identity for that question 16l^3l+24m^2+40lm is correct answer |
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| 10. |
Exercise 1.1rite the following numbers in generaio39, 52, 106, 359, 628, 3458, 9502, 7000sed form:2. Write t |
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Answer» 39 = 30+9 = 10*3 + 9*1 52 = 50+2 = 10*5 + 2*1 106 = 100+6 = 100*1 + 10*0 + 6*1 359 = 300+50+9 = 100*3 + 10*5 + 9*1 628 = 600+20+8 = 100*6 + 10*2 + 8*1 3458 = 3000+400+50+8 = 1000*3 + 100*4 + 10*5 + 8*1 9502 = 9000+500+2 = 1000*9 + 100*5 + 10*0 + 2*1 7000 = 7000 + 0 = 1000*7 + 100*0 + 10*0 + 0*1 Like my answer if you find it useful! |
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| 11. |
Q5.Fill in the blanks with suitable relative proi. God helps those. W. ..help themselvesii. This is all.....huk....I wanted to say.Section- |
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Answer» 1) who2) thatWii be suitable word In the given blanks ans will be like that 1) Who 2) What 1) who.......2)what.. 1.who.........2.what .......... |
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| 12. |
Exercise 4.11. Write three equiva(a)?-102. Fill in the boxest6721 |
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Answer» 7/1014/2021/30is it clearthanks 7/1014/2021/30 is the correct answer of the given question 7/1014/2021/30 follow me 7/1014/2021/30 is a correct answer 14/2021/3028/40 are the next three equivalent fraction of 7/10 |
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IN CLASS EXERCISELEVEL 1Q1.Ifz = i-1, then Z-D)iA)i+1C)-i |
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| 14. |
and the area is 800 m2? If so, find its length and brUaull.4. Is the following situation possible? If so, determine their present agesThe sum of the ages of two friends is 20 years. Four years ago, the product of their agesin years was 48.h nf nerimeter 80 m and area 400 m2? If so, find |
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Answer» Thanks |
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| 15. |
20. In the given figure, O is a point in the interior of a triangle ABC, OD I BC, OE 1 AC andA.OF AB. Show that(ii) AF2 + BD2 + CE? = AE2 + CD2 + BF2. |
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Answer» 1 2 |
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EXERCISE 21. Write down the reciprocal of:(ii) 72. Simnivi 12 |
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| 17. |
MISCELLANEOUS EXERCISE-2)-If tan x +cot x=3, then show thattant-cot, = 47.ă¨2 |
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Answer» thanks |
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| 18. |
IN CLASS EXERCISE 2m value of the polynomi |
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| 19. |
Exercise 2Write the name of each shapea)b) |
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Answer» Rectangle my dearfifififfjghigguuffgu suitcase shape name Agar tujhe pta ha to mujhe kyu bolo saale I think the answer is choir sorry sorry aaj done wrong but the answer is square that's a rectangle shaped book |
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| 20. |
9. In a town, there were 2,400 people two years ago. The population increased by 21% annually. Whatis the population of the town now? |
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Answer» thh |
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| 21. |
Using a Price Lista) How much does흐 kg oftomatoes cost? | Itemb) which costs more-흐 kg of onions or Tomatonein(per kg)kg of carrots?Potatoc) What is the price of ¾ kg of potatoes? Oniond) Keerthi is going for shopping. She has Carrot121016only Rs 20 with her. Can she buy allthe things in her shopping list?e) Make two questions yourself from theprice list.1.2.oh100 |
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| 22. |
The arithmetic mean of the following distribution is 25. Determine the value of P.class0-10 10-30 20-30 30-40 40-5051815frequency5 |
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| 23. |
xample 7 : Show that 0.3333... = 0.3 can be expressed in the form, where p andire integers and q + 0. |
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Answer» 1/3 is the answer of this question 1/3 is a right answer |
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| 24. |
\frac { 16 \times 10 ^ { 4 } \times 3 ^ { 3 } } { 5 ^ { 5 } \times 5 ^ { 6 } } |
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Answer» The answer for it is 0.04. can you please give the explanation of the question |
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| 25. |
A town's population increased by 1200 people, and then this new population decreased11%. The town now had 32 less people than it did before the 1200 increase. Find theoriginal population. |
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| 26. |
8. Atown's population increased by 1200 people, and then this new population decreased11%. The town now had 32 less people than it did before the 1200 increase. Find theoriginal population. |
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Answer» thank you |
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| 27. |
A town's population increased by 1200 people, and then this new population decreased1 1 %. The town now had 32 less people than it did before the 1200 increase. Find theoriginal population |
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Answer» Let's assume total population= pSo increased population= p+1200 Now after 11% decrease population= p-32 So total decreased population= 1200+32= 1232 11% of 1200 = 1200×11/100 =132So 11% of p = 1232-132 = 1100 If 11% of p = 1100Then 1% of p = 1100/11and 100% of p = 1100/11×100 =10000So original population was= 10000 |
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| 28. |
21m712712is m, (62)(6 |
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Answer» 6^2m= 6^-14base are sameso2m= -14m= -7 |
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| 29. |
1.In figure 7.43, A is the centre of thecircle. ABC = 45° and AC = 712 cmFind the area of segment BXC.45Fig. 7.43 |
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Answer» Area of Shaded Portion:area of sector- area of triangle AB = AC (Radius)therefore ang ABC = ang ACB THEREFORE ang BAC = 90 Area of sector= pi x (r)^2 x (Theta)/360= (22/7)(7√2)^2 x(90/360)= (22/7)(98)(1/4)by solvingArea = 77cm^2 area of triangle right angle trianglePythagoras theoremAB^2 + AC^2 = BC^2(7√2)^2 + (7√2)^2 = BC^22x 98 = BC^2BC^2 = 196BC = 14 area = (1/2) Base x Height= (1/2) (7√2)(7√2)= 49 Area of Shaded = 77-49= 28cm^2 Hit like if you find it useful! |
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| 30. |
Using identities, evaluate.1) 712(wf 5.22_yix) 1.05Ă9.5 |
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Answer» not win c part of qsn there should be 0.95 instead of 9.5 |
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| 31. |
हिल e aouo, - o थी, Jdov पा 2L p(a 2-0 दि कह, nfel की) हि e m Wt o e, [Pl % cogumentgeblng we, pobt g5, 4है हि), |
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| 32. |
XAMPLE 3Show that ll\left| \begin{array}{lll}{1} & {a} & {b+c} \\ {1} & {b} & {c+a} \\ {1} & {c} & {a+b}\end{array}\right|=0. |
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| 33. |
1. Find the next three terms of the following sequence.(i) 8, 24, 72, ...: 1 2(ii) 5, 1, -3, ... (iii) 5316... |
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Answer» 1.it is not form an ap 8×3=24×3=72×2=144, 5-4=1-4=-3-4=-7; 1/4+1/9+1/16+1/25 |
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| 34. |
If the median of the following frequency distribution is 32.5. Find the valuesof i and /2ClassFrequency5 9 12 f23 2400-10 10-20 20-30 30-40 40-50 50-60 60-70 TotalOr |
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| 35. |
(ăThe speed of a car is 54½ Knihr . The distance traveled by it in 7/2 hours 352minutes is - |
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Answer» If you like the solution, Please give it a 👍 |
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| 36. |
13, The cost of 20 metres of cloth is? 78으 . Find the cost of cloth per metre342 |
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| 37. |
-The cost of 5 metres of cloth is 385. Find the cost of cloth per metre.. |
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Answer» the cost of 1 meter cloth will be rupess 16 solution first convert the mixed fractions into improper fractions 5 1/3 , 85 1/3= 16/3, 256/3now we have to divide both the improper fractions 16/3÷256/3reciprocal =16/3×3/256=16 therefore, the cost of one metre cloth is 16 rupees |
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| 38. |
ne. N १५9९4.हा 01८ 1- ki - |रन “1 2% Ll g |
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Answer» The Pythagorean Triplet is 81, 108 and 135. PLEASE HIT THE LIKE BUTTON. |
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| 39. |
you f7.7.The cost of 7The cost of 7 meters of cloth is 712.. Find the cost per metre.meters of clothFind themetre.Jourt |
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Answer» length of cloth = 7(2/3)m = 23/3 mcost of cloth = 51/4 rs.cost of 1 m cloth = (51/4)/(23/3) = (51 ✖ 3)➗ (23 ✖ 4) = 153/92 = 1.6630 rs (ANS) length of cloth=7(2/3)=23/3m, cost of cloth=12(3/4)=51/4 ; cost of cloth=(51/4)/(23/3)=(51×3)÷(23×4); (153)/92=1.6639 Rs 1.66 is the best answer to this question length of cloth=7(2/3)=23/3m,cost of cloth=12(3/4)=51/4 ; cost of cloth=(51/4)/(23/3)=(51×3)÷(23×4); (153)/92=1.6639 |
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co12. How many pieces, each of length3can be cut from a rope of length 30 m?13. The cost of 2 - metres of cloth is70Find the cost of cloth per metre. |
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| 41. |
1tsinone isequal to1-sino |
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Answer» V1+sinx/1- sinx= V(1+sinx)^2/ cosx^2= 1+ sinx/ cosx= 1/ cosx + sinx/ cosx= secx+ tanx |
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| 42. |
Ang One here 1ne Ohe hereleas e Le pllease |
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Answer» kindly upload your questions. click on my photo |
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| 43. |
XAMPLE 3 Evaluate S (7" +"*'), where ne N.1 |
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Answer» Hi, Here is the answer to your question. |
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| 44. |
Fill in the blanks:1. 0+48592. 975+03. 2573 +2474. 1324+52105. 657+9406. 2081+7. (125+126)+408. (25+40)+709. 345+(25 +3) |
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Answer» 0+4859 = 4859975+0 =9752573+247 = 28201324+5210 = 6534657+940 = 15972081+0=3081(125+126)+40=211(25+40)+70=135345+(25+3)=367.............. |
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| 45. |
Which of the following list of numbers form anA.P.? If so, write the next four terms -1.2, -3.2,-5.2, -7.2, |
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| 46. |
6211.If 163% of a number is 25, Find thenumber ?1) 1503) 120The income of a man increased in the ratio2) 1004)14012.: 6. If his new income is 24,000/- permonth. What was his income earlier1) 20000/-3) 30000/-2) 25000/-4) 28000/-Express the 125% as a ratio is1) 1:83) 8:1Mr. Ravi spends 82% ofhis salary and saves2772/-per month. What is his monthly13.2) 3:84) 8:314.1) 15000/-3) 16000/-income2) 15,400/-4) 15,500/-15.Abasket has !44 mangoes ofwhich 122%are rootten. How many good mangoes arethere?1) 1202) 1264) 1253) 130LEVEL-2 (CVV) |
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Answer» you should specify the question that you want to be answered A man expenditure of food work is 2:3:4 if we decrease his charge 20:30:40 respectively so what is the charge ratio |
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| 47. |
9 Find roots of equationx-V5+-/5+-5+ยกf they exist.oo |
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| 48. |
victocLun thocuti 0 |
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| 49. |
Trees Planted Daily500400300200100'0 48 1216 20Number of StudentsDraw a line that models the pattern in the (students, trees) data.. Write an equation for your linear model. |
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Answer» at x = 4 , y = 100 , slope. = 100/4 = 25 so, equation of line is (y axis) = 25× (x axis) |
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| 50. |
5. The radii of internal and external surfaces of a hollow spherical shell are3 cm and 5 cm respctively. It is melted and recast into a solid cylinder ofCBSE 2012]diameter 14 cm. Find the height of the cylinder |
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