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. |
Solve the following pair of linear equationsx+2y 5 and 3x + 5y 13 |
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Answer» Bhai substitution method se batao |
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| 2. |
the mid point theorem |
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Answer» proof proof |
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| 3. |
2. Solve the pair of linear equations x - y = 18 and x - 2y = 0 and if the solution satisfies y = mx + 4, then find m. |
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Answer» y=18 x=36 m=18/7 subtract 2nd eq from 1st and you will get value of y put it in 1 you will get x then put them in 3rd you will get m 👍 |
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| 4. |
In the given figure PR> PQ and PS bisect ZQPR. Prove that ZPSR> LPSQ |
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Answer» Like if you find it useful |
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| 5. |
Bisectthisanglebyusingcompass.Isthebbisector3. Make an LABC of 1809 by protractor.perpendicular to AC |
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Answer» since bisector of 180° will make angle of 90° with AC so it will be perpendicular to AC dear student use pencil to draw angle |
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| 6. |
, Draw the graph ofeach of the following linear equations.x+y=6/iii) 3x+5y = 15iv) 즈-y-3IV |
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| 7. |
Which type of solution will the pair of linear equations x+3y=4 and 2x+y=5 have? |
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Answer» Given Equationx + 3y - 4 = 02x + y - 5 = 0 1/2 3/1(-4)/(-5) = 4/5 Unique solution exist |
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| 8. |
Write the number of solutions of the following pair of linear equations:x+ 2y-8 0,2x4y 16.[CBSE 2009] |
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| 9. |
234X-CLASS MATHEMATICS90.700506363 XEm-.Area of its base is 254cm. Findi.7. The curved surface area of a cone is 1159volumednical above it. The radius of the base is |
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Answer» we have given that:curved surface area of cone = 1159 5/7 = 8118 / 7 cm² andarea of its base = 254 4/7 = 1782 / 7 cm² we have to find :-volume of cone = ? solution:-we know that:curved surface area of cone =πrlandarea of base =πr² andvolume of cone = 1/3×πr²handh =√ (l² - r²) where,r is radius , l is slant height , h is height of cone . According to given: => area of base = 1782 / 7 cm² =>πr² = 1782 / 7 => 22/7× r² = 1782 / 7 => 22 r² = 1782 => r² = 81 => r = 9 cm And,=> C.S.area = 8118 / 7 =>πrl = 8118 / 7 cm² => 22/7× 9× l = 8118 / 7 => 198 l = 8118 => l = 41 cm now,Height of cone;=> h =√(l² - r²) => h = √ (41² - 9² ) =√ (1681 - 81 ) =√ 1600 = 40 cm now,volume of cone = 1/3×π× r²× h => 1/3× 22/7× 9²× 40 => 22×81×40 / 21 => 3394.28 cm³ Answer |
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| 10. |
EXERCISE 1.2Express each number as a product of its prime factors:6) 140Find the I CM and HCE of the following nairs ofintegers(ii) 3825 t(ii) 156 |
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| 11. |
2 sttedt |
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Answer» 1st 2nd 3rd, so let this answer be f(t):final answer will be:f(2)-f(0) |
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| 12. |
SECTION A1. If m and n are zeroes of thepolynomial ax"-ar +find the values ofandc i:m + n10'trin. |
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| 13. |
State and prove mid point theorem |
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| 14. |
(2) 12.87 X 4.2Solution: Method -I| Method - II1 2 |
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Answer» 12.87*4.2 = 1287*42/100*10 = 54054/1000 = 54.054 |
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| 15. |
Pand Q are the point of traisection of the diagonal BD of a parallelogram ABCD. prove that CQ is parallel to AP and AC bisect PQ. |
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| 16. |
3. The cable of a uniformly loaded suspension bridge hangs in the form of aThe roadway which is horizontal and 100 m long is supported by venticalattached to the cable, the longest wire being 30 m and the shortest beinFind the length of a supporting wire attached to the roadway 18 m frnThe euLatusmiddle. |
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| 17. |
tcx ol die parabola?The cable of a uniformly loaded suspension bridge hangs in the form of a parabolaThe roadway which is horizontal and 100 m long is supported by vertical winesattached to the cable, the longest wire being 30 m and the shortest being 6 m.Find the length of a supporting wire attached to the roadway 18 m from themiddle3. |
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| 18. |
- Geothat show that if-74 +10/- 0//༈O>རྒྱབ་ |
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| 19. |
10 State mid-point theorem |
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| 20. |
ClasQ.10. Write the Pythagoras Theorem.Ans. In a right trin |
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| 21. |
0) There are 260 persons with a skin disorder.If 150 had been exposed to the chemicalA, 74 to the chemical B, and 36 to bothchemicals A and B, find the number ofpersons exposed toi) chemical A but not chemical B,ii) chemical B but not chemical A,iii) chemical A or chemical B. |
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| 22. |
There are 260 persons with a skin disorder. If150 had been exposed to the chemical A, 74to the chemical B, and 36 to both chemicals Aand B, find the number of persons exposed toi) Chemical A but not Chemical Bi) Chemical B but not Chemical Aii) Chemical A or Chemical B |
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| 23. |
There are150 had been exposed to the chemical A, 74to the chemical B, and 36 to both chemicalsand B, find the number of persons exposed260 persons with a skin disorder. Iftoi) Chemical A but not Chemical Bii) Chemical B but not Chemical Aiii) Chemical A or Chemical B |
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| 24. |
25.Which of the following gas turns lime water milky.A) CO2B) so,C) NO2D) both (A) and (B) |
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Answer» Option D is correct as both carbon dioxide and Sulphur Dioxide do turn limewater milky. |
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| 25. |
The length of tangentsdrawn from an extenal point to a circle arean |
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| 26. |
Prove that the tangents drawn at the ends of the diameter of a circle are parallel. |
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| 27. |
Theorem 10.2 : The lengths of tangents drawnfrom an external point to a circle are equal. |
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| 28. |
Prove that the tangents drawn at the ends of a diameter of a circle are parallel. |
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| 29. |
Prove that the lengths of tangents drawn from an external point to a circle are equal. |
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| 30. |
Prove that the tangents drawn at the ends of a diameter of a circle are parallel |
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| 31. |
22 ~ X a 54â x gâ |
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Answer» it's wrong |
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| 32. |
OI+0)F+x) RE 1релреж llelehlhph bebhe T |
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Answer» (x + 4) ( x + 10) x² + 10x + 4x + 40 x² + 14x + 40 Use the identity(x + a)(x +b) = x² + (a + b)x + ab (x + 4)(x + 10) = x² + (4 + 10) + (4 × 10) = x² + 14x + 40 |
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| 33. |
Find the derivative w.r.t X: (1) 4√x-2 |
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Answer» Thanks mem |
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| 34. |
1310y-+s X e oo54 34â+ âof 5 +B 5 |
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Answer» 24/5÷3/5 of 5 + 4/5 × 3/10 - 1/5 BODMAS 24/5÷3 + 4/5 × 3/10 - 1/524/5× 1/3+ 4/5 × 3/10 - 1/58/5+ 12/50 - 1/58(10)+12(1)/50 -1/580+12/50 -1/592/50 - 1/592-1(10)/50=92-10/50=82/50 |
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| 35. |
ÂŽ) 4âl o34 |
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Answer» 1/4 to 3/4= (1/4)÷(3/4)= (1/4)*(4/3)= 1/3 |
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| 36. |
| 4° 2-5]=9= |
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Answer» 4^(1/3)×2^(1/3)×3^(1/2)÷9^(1/4) 2^(2/3)×2^(1/3)×3^(1/2)÷3^(2/4) 2^(2/3+1/3)×3^(1/2)÷3^(1/2) =2^1*1=2 |
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| 37. |
i6=4¢-x6g=A-x¢ |
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Answer» Multiplying 1st equation by 3,9x-3y=99x-3y=9 Both equations are same.Therefore, they are equations of coincident lines. Hence,Infinitr number of solutions exist. |
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| 38. |
show that 4√2 is an irrational number |
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| 39. |
If tanQ+sonQ=m and tanQ-sinQ=n Show that m square -n square =4√mn |
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Answer» Aage ka kha h thank u |
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| 40. |
(2x + 3)2-(3x + 2)2 = 13 |
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Answer» From which book have you taken this question? Please tell us so that we can provide you faster answer. |
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| 41. |
Apiece of wire is bent in the shape of a rectangle whose length and width are 35 cnad20cmnively. It is opemedand rebent to form a circular ring. What is the diamener of the ring? |
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| 42. |
A cardboard box is 1.2m long, 72cm wide and 54cm high. How many bars of soap can be put into it if each bar measures 6cm by 4.5cm by 4cm |
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| 43. |
28. In the given figure, BC is diameter. If AB = 3cm, AC=4cm and A=90°Find the area of the shaded region. (=3.14) |
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Answer» please post a question which is not blurry... nice answer............ |
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| 44. |
20. In the given figure, BC is diameter. If AB = 3cm, AC=4cm and A=90°Find the area of the shaded region. (TE3.14).Зcm |
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| 45. |
Construct a pair of langurluher at an angle of 60°. Measure the length of tallyelen the given figure. BC is diameter. If AB = 3cm, AC=4cm and A=90Find the area of the shaded region. (<=3.14)3cmin three equ |
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Answer» BC²=AC²+AB² =4²+3² =16+9 =25 BC=5cm Area of biggest semicircle= 1/2 * 3.14 * r² =0.5*3.14*5*5 =0.5*78.5 =39.25 cm² Area of 2nd Largest Semicircle = 0.5*3.14*r² =0.5*3.14*3² =0.5*3.14*9 =14.13 cm² Area of smallest Semicircle = 0.5*3.14*r² =0.5*3.14*4² =0.5*3.14*16 =25.12cm² Area of Triangle = 1/2 *b*h = 0.5*3*4 =6 cm² Area of shaded region = (6+25.12+14.13) - 39.25 = 45.25-39.25 =6 cm² |
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| 46. |
Find the area of a quadrilateral ABCD in which ABa3cm,BC-4cm, CDa4DAmScm and ACt2.5 cm. |
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| 47. |
Find the zeros of the given polynomial p(x)=4√3x^2 - 2√3x - 2√3 and verify the relation between zeros and co efficient. |
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Answer» Eq is2x²-x-1 =0(dividing by 2root3)Now roots by formula, Are (1+- 3)/(2*2) =1, - 1/2Also sumof roots =-1/2 which is same as by eq =-2root3/4root3 =-1/2Product of roots=-1/2 =-2root3/4root3 =-1/2 |
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| 48. |
by Se lling a Sarer |
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Answer» x-20x/100 = 200 80x = 20000 x = 250 profit = 250 + 250*10/100 = 250+25 = 275 rupees |
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| 49. |
tracks withuniform speed of 72 km h- in the same direction, with A ahead ofB decides to overtake A and accelerates by i ms2. If after 50 sbrushes past the driver of A, what was the original distanceuniform), and how IoIlband B of length 400 m each are moving on two parallel troe driver ofthe guard of B just3.7 Two trains Abetween them ?lling with a sneed of 36 kmh- |
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Answer» Let the original separation distance be x. Then distance to be covered starting with relative velocity zero is s = 800 + x (800m being the overtaking distance from front meets rear to rear leaves front).Distance s covered at acceleration a starting from (relative) speed zero = 1/2 at^2 which for t=50 gives:= 0.5 x 50^2 = 1250mSo 800 + x = 1250 Therefore x = 1250 -800 = 450m. |
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| 50. |
17. A piece of wire is bent in the shape of an equilateral triangle of each side 6.6 cm. It is rebent to forma circular ring. What is the diameter of the ring?[Hint. Perimeter of triangle = Circumference of circular ring, ie. , π × d-3 × 6.6] |
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