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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. |
Numberatibx + iyーリーーー, prove that : (r+y)-a tibhave xtiytid |
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| 2. |
Solve it and convertinto atib form |
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Answer» 4i is the right answer. 4i is the best answer |
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| 3. |
Orain travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then ithave taken 3 hours more to,cover the same distance. Find the speed of the train. |
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| 4. |
(i) Express in atib from 3V-2+2/ 23v-2-2-2 |
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Answer» As we knowthat√-1= isoit will be6i+4i/6i-4i= 10i/2i= 0+5i |
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| 5. |
BILLExpress z= 82. e4l in theatibform. |
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| 6. |
Sushma says "complementary angle of 48° is 42°" Do you agree withher ? Give reasons |
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Answer» sum of complementary angle is 90°so48° + 42° = 90°yes sushma is right |
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| 7. |
specd the speed h EXthe same distoSo) A train travels a distance of 480 km at a unilorlh8 km/h less, then it would have taken 3 hours more to coverneed to find the speed of the train. |
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| 8. |
Exangie 1 A boy buys a pen for Rs 25 a20. Find his loss per cem |
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| 9. |
A train travels a distance of 480 km at a uniform speed. Ifthe speed had been 8 krless, then it would have taken 3 hours more to cover the same distance. We nefind the speed of the train. |
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| 10. |
(iv) A train travels a distance of 480 km at a uniform speed. If the speed had8 km/h less, then it would have taken 3 hours more to cover the same distance. Weneed to find the speed of the train. |
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Answer» He will be doing his work Distance travelled by the train = 480 km Let the speed of the train be x kmph Time taken for the journey = 480/x Given speed is decreased by 8 kmph Hence the new speed of train = (x – 8) kmph Time taken for the journey = 480/(x – 8) |
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| 11. |
area0. Sushma readsshe read in 2part of a book in 1 hour. How much part of bookhours ? |
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Answer» Susma reads 5/15 part of a book in 2.5 hours |
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| 12. |
A train travels a distance of 480 km at a uniform speed. If the speed had8 km/h less, then it would have taken 3 hours more to cover the same distanceneed to find the speed of the train.. W |
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Answer» thank youuuuu very much |
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| 13. |
diamelens 20 c Fsom a canal intnd 2ma ou ihipa the sate of 3m h in homuch time iVthe tank befilled |
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Answer» R=10 cm R=500cmh=200cmvolume of water flows in 1 hr =pie×10×10×300000(cmcube)volume of cylindrical tank =pie×500×500×200time taken to be fill the tank=volume of cylindrical tank÷volume of water flow in 1 hr =(pie×500×500×200)÷pie×10×10×300000=(5÷3)hr=(5÷3)×60=100min |
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| 14. |
The ang le of e tevat ionbf the top of a buildlingfsom the footof thetowey is 30 and theangle of elevationoto p of the to wer fromtheto ot of the building isoIfthe tower is 30m high,findthe heignt oG thebuilding |
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| 15. |
_ { 8 } 20 . \int _ { 0 } ^ { \pi } | \operatorname { cos } x | d x |
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| 16. |
2.13. if(1+1) (1+20.(1+ni) = x+iy show that 2.5.10(Int): x2 +y2 |
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| 17. |
saFind the radius of the circle whose centre is (3, 2) and passes through (-5, 6). |
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| 18. |
A number is 27 more than number obtained by reversing its digits. If its unit's andten's digit are x and y respectively, write the linear equation representing the abovestatement. |
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Answer» Given units digit is x and tens digit is yHence the two digit number = 10y + xNumber obtained by reversing the digits = 10x + yGiven the original is 27 more than the number obtained by reversing the digits.Hence (10y + x) = (10x + y) + 27⇒ 10y + x – 10x – y = 27⇒ 9y – 9x – 27=0∴ x – y + 3 = 0Thus the required linear equation is x – y + 3 = 0 |
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| 19. |
ent intoform of a rectangle 18.7 cm long and 14.3 cm wide is reshaped and bent intthe form of a circle. Find the radius of the circle so formed. |
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| 20. |
EXERCISE 10.4Two circles of radii 5 cm and 3 cm intersect at two points and the distance betweentheir centres is 4 cm. Find the length of the common chord.If two equal chords of a circle int |
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| 21. |
2-3i7) Express in the standard form:4 |
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| 22. |
Write (1+2i) (1+3i) (2+i)^-1 in the form a+ib |
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| 23. |
5,Convert the following in the polar form:1+3i1-2i22-i), |
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| 24. |
rt of monthly expenses of a family on milk is fixed which is019 PaRs700 and remaining varies with quantity of a milk takenof Rs 25 per liter. Taking quantity of milk required as x liters and totalexpenditure in milk as Rs y. Write a linear equation representing theabove information.extra at rate |
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Answer» X litre of milk is required and total expenditure is Rs YThen as per condition 25X = Y So linear equation is 25X - Y = 0 |
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| 25. |
KERCISE 1.51. MahenVALUE-BASED EXERCISEa first kilometer and 8 each for everybsequent kilometer. For a distance of x km, an amount of ? y is paid. Write thelinear equation representing the above information. What value is depicted bydra paid a three-wheeler scooter15 forMahendra in the question? |
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| 26. |
2.Write an equation representing x-axis. |
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| 27. |
Find the differential equation representing the family of cuy = -A cos 3x + B sin 3x. |
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| 28. |
Find the equation to the circle w2 and whose centre is (2-1).n Find equation to the circle whose centre is (4, 3) and10touches the line 5x-12y |
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| 29. |
POisdiametercircle whose centre is O. Given angle ROScalculate ZRTS. |
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| 30. |
-7Sushma brought 35 m d blue sibleand at mabed 3 seibbon. Howmuch 6 gibbon did she buy in totale |
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Answer» the total ribbon she buys is 37/6 |
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| 31. |
y--12y-9-o are in APFind the equation of the circle whose centre is (3, -1) andintercept of length 6 from the line 2x- 5y+18 0whichoffancircle whose centre is at( 1, 2) and whichpassesthrosd |
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| 32. |
. Find the equation of the circle whose centre is at (4,5) and whichpasses through the centre of the circle x2 + y2 + 4x -6y-12=0 |
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Answer» bakwas jabab hai bhai jo bhi bheja hai |
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| 33. |
10. Find the equation of the circle passing through the pointswhose centre is on the line 4x + y11. Find the equation of the circle passing through the points (2.3) an/.r-whose centre is on the line x-3y-1-0.16.is ane equation of the circle with radius 5 whose centre les on -aasses through the point (2,3).and1S. Find the ejuation of the circle passing through (0.0) and maki1 Find the equation of a circle with centre (212) and passes5. Does the point (-2.5, 3,5) lie inside, outside or on the circle0) and making intercepts apoint Cb on the coordinate axes.through the po |
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| 34. |
Find the radius of the circle whose centre is (3,2) and passes through (-5,6) |
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| 35. |
N e eSR T त्र में QSR ज्ञात कीजिए- |
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| 36. |
8. (a) The prices of one kg of apples and one kg of oranges are in the ratio 3:2. If 5 kg of apples and3 kg of oranges cost Rs 210, how much money one has to pay to buy 1 kg of apples and 1 kgof oranges? |
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Answer» suppose price of one kg apple is 3x and one kg orange is 2x so 5 kg of apples are of 15x and 3 kg of oranges are 6x so 15x+6x = 210 21x = 210 so x = 10 so price of 1 kg apples + 1 kg oranges = 30 + 20 = 50 Rs. |
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| 37. |
| गण ७P 9 nlf e e Wi एपाुइदुतप् op AyI |
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Answer» The chemical process in which asubstancereacts with oxygen to give off heat is called combustion. The substanceswhich vaporize duringburninggiveflames. For example combustion of kerosene oil producesflame. On the other hand certain substanceslike coaldonot vaporize and hence doesn't produce aflame. |
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| 38. |
express 13i/2-3i inth form of A+Bi |
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| 39. |
SOLVED EXAMPLES1) The diameter of a circle is 14 cm. Findlength of the arc, subtending an angle ofat the centre. |
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Answer» Radius of circle = 1/2 * Diameter of circleRadius = 1/2 *14= 7 cm 7 cm is the best answer Given diameter=14. radius r =14/2=7 angle subtended=21= [14+7]= 21×π/180=π/8.57....then length of arc= r×teetta=21×π/8.57..= 21π/8.57 ie, length of arc =21π/8.57.. radius circle=1/2 diameter circle Radius = 1/2 × 14=7 cm |
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| 40. |
ठानधघी ६ e A- % _‘£| +opT ¢ |
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| 41. |
Ram brought 7the total weight he carried.3kg rice, 5kg dal, and 3kg of sugar from a shop. Find |
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Answer» Weight of Rice=7.5 kgWeight of Dal= 5.25 kgWeight of Sugar=3.5 kg Total weight he carried= 7.5+5.25+3.5=16.25 kg |
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| 42. |
a) C.P = Rs. 40; S.P = Rs. 50b) C.P = Rs. 1500 S.P = Rs. 1650 |
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Answer» a) SP>CP so profit = 50-40 = 10 so profit percentage = 10/40 *100 = 25% b) SP>CP so profit = 1650-1500 = 150 so profit percentage = 150/1500 *100 = 10% |
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| 43. |
ă°oflo, 14 ,20)is, Pand-ke mean3 's 16, find the Valueof |
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Answer» If the mean is 16then10+14+20+15+p+18/6= 16 24+35+18+P= 9677+P= 96P= 96-77= 19 |
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| 44. |
7.For what value of the following pair of linear equations has a no solution?2x - ty - 5 and 3x + 2y = 11 |
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| 45. |
If n=&e is a solution of knit 522-4=0I then find the value of ke |
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| 46. |
2.Find the value of k, for which one root of the quadratic equation ke-14x+8 = 0 is 2. |
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| 47. |
SOLVEDl Find the values of the following) Sin |
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Answer» let sin^(-1){1/2} = thetaso theta = -pi/6 |
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| 48. |
PageFind the squares of the followingcontaining 5 in unit's place:(i) 15(ii) 95(iii) 105 |
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| 49. |
Without actual division, find which of the following rationals areterminating decimals.138016(iv)241235125 |
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| 50. |
- tyRethe followi ng . Statement inthe presentcorm op eauetionThe-product-ofis y2olouingStotement in thtulo-consecutiveintegers-a |
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