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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. |
Fxpress the following intearal asa limit of Îą surn and- henevaluate ită |
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| 2. |
14. Complete the series.4, 7, 12, (..), 28, 39(A) 19(C) 14(B) 24(D) 16 |
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Answer» 4+3=77+5=1212+7=1919+9=2828+11=39so a) 19 is the answer |
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| 3. |
EXERCISE - 6.3Draw the graph of each of the following linear equations.1) 2y=-x+1 *) -x+y=6 iii) 3x + 5y = 15iv)=3swer the follo |
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| 4. |
If \sqrt[3]{-2744} \div \sqrt[3]{0.008}=x then the value ofX IS(A) 70(C) 14(B)-70(D)-14 |
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| 5. |
8x + y + 272°- 18xyz TheFactorize :8x + y + 2722 - 18 xyzP.T. |
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| 6. |
8x^2 - 4x^2 |
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| 7. |
26. The points A(a.b) and B(b,0) lie onthe linear equation y-8x+3) Find the values of a and b.i) Is (2,0) a solution of y-8x+3?ii) Find two solutions ofy-8x+3 |
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| 8. |
X2+8x-2=0 |
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| 9. |
differentiate 8x^2 - 3x + 1 |
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Answer» =16x-3is the right answer 16x-3 is the correct answer 16x-3 is the correct answer the correct answer is 16x-3. 16x-3 is the answer to your question |
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| 10. |
s suther is 30 years older than his son. In 12 years, the man will be three times as old as hissnn Fmd ther present ages |
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| 11. |
The length of a road to school is 0.528 km. The school planted trees on bothsides of the road. If the trees were 8 m apart, how many trees were plantedaltogether? |
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Answer» Length of the road is 0.528 km =528mdistance between the trees is 8m Nowno of trees planted =528/8 =66 Like if you find it useful |
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| 12. |
EXERCISE13.9Differentiationsw.r.t. xii) x^4 + 7x^3 + 8x^2 + 3x + 2 |
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| 13. |
(iii) p(x)-3x2 + kx + J2(iv) p(x) - x3-3x2+5If x + 1 is a factor of ax3 +x2-2x+ 4a-9, find the value of a. |
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Answer» Like my answer if you find it useful! |
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| 14. |
10. Prove that \lim _{x \rightarrow 2} \frac{|x-4|}{x-4}does not exist. |
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Answer» We will First find LHL that is limit x tends 2 {-(x-4)/x-4 }= -1RHL islimit x tends to 2 {(x-4)/x-4 } = 1so LHL and RHL are not equal so limit does not exist |
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| 15. |
1. Solve for x(3x +1 (2x-3x3(3x-1)16145 (B) 10 (C)-14 (D) 12 |
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| 16. |
Hence, ySolve each of the follox x 14x 4 x 3x |
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Answer» 9 1/4= 37/4 1 1/3= 4/3 |
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| 17. |
Solve for X and Y if 3X-Y = || | | and X-3Y = |0 -11 -1 |
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Answer» thank you so much |
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| 18. |
3.In Rhombus ABCD, ZA= 3x +20, 2C=x+30, then find themeasure of ZB.[Tur |
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Answer» As we know opposite angles of rhombus are equal Hence,<A = <C3x + 20 = x + 303x - x = 102x = 10x = 10/2 = 5 Thus,<A = 3*5 + 20 = 35°<C = 5 + 30 = 35° Now,<B = 180° - <A(sum of adjacent angles is 180)<B = 180° - 35° = 145° <B=145 your Questions Answer |
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| 19. |
36. Evaluate the following integral using limit of sums: 2- x)dx4 |
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| 20. |
Note: (x) Ă (y)(x) Ă (4Worksheet 2l in the following blanks using pr+2x2x+y4a + |5y_0=(3x) x (20 = 2y x| + 2c = 5b +3,4. |
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Answer» blanks are y 5b 4a 5y 3x 2p 2 number is worth write answers is5b2c |
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| 21. |
इक कक कि कि %4. निम्नलिखित स्थितियों में से प्रत्येक स्थिति में बहुपद का शुून्यक ज्ञात कीजिए :हि) छ(%) अप (i) px)=x-5 (i) p(x)=2c+5)5 2 ) ple)=3x) p(0)=ax;a=0(Vi pE)=cx+d; e #0,c, . =T संख्याएँ हैं।लि e GRS |
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| 22. |
17, In a school, students thought of planting trees in and around the school to reduce airpollution. It was decided that the number of trees, that each section of each class willplant, will be the same as the class, in which they are studying, e.g., a section of Class Iwill plant 1 tree, a section of Class II will plant 2 trees and so on till Class XII. There arethree sections of each class. How many trees will be planted by the students? |
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| 23. |
17. In a school, students thought of planting trees in and around the school to reduce airpollution. It was decided that the number of trees, that each section of each class willplant, will be the same as the class, in which they are studying, e.g, a section of Class Iwill plant 1 tree, a section of Class II will plant 2 trees and so on till Class XII. There arethrec sections of each class. Ilow many trees will be planted by the students? |
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| 24. |
at) Baburao planted 143 sweet lime trees and 156 chikoo trees in his orchard. Howmany trees did he plant in all ? |
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Answer» Number of sweet lime trees = 143 Number of chikoo trees = 156 Total number of trees in orchard = 143 + 156 = 299 A solid toy is in |
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| 25. |
value of cach of the prizesIn a school, students thought of planting trees in and around the school to reducepollution. It was decided that the number of trees, that each section of each classplant, will be the same as the class, in which they are studying, e.g., a section of Cwill plant I tree, a section of Class II will plant 2 trees and so on till Class XII. Therthree sections of each class. How many trees will be planted by the students? |
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| 26. |
Baburao planted 143 sweet lime trees and 156 chikoo trees in his orchanmany trees did he plant in all 7 |
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| 27. |
8x-9=0 |
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Answer» To find the value of x,8x=9 x=9/8. |
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| 28. |
subtract 5a - 3b + 2c from a - 4b - 2c |
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Answer» a-4b-2c-(5a-3b+2c)-4a-b-4cplease like the solution 👍 ✔️ |
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| 29. |
5. In figure lines XY and MNt Pintersect at O. If LPOY=90°aland a: b 2:3, find c.crXC |
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| 30. |
8x + 5 = 0 |
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Answer» 8x = -5x = -5/8 |
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| 31. |
16) Solve the following equation by factorization.2c2ab-bc-aca+b-2c |
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Answer» A / (x - a) + b / (x - b) = 2c / (x - c)=> [a(x - b) + b (x - a)] / (x - a) (x - b) = 2c / (x - c)=> [(a + b) x - 2ab] (x - c) = 2c [x^2 - (a + b)x + ab]=> (a + b) x^2 - [2ab + c(a + b)]x + 2abc = 2cx^2 - 2c(a + b)x + 2abc=> (a + b - 2c) x^2 = (2ab + ac + bc - 2ca - 2bc) x=> (a + b - 2c) x^2 = (2ab - ca - bc) x=> x = 0or x = (2ab - ca - bc) / (a + b - 2c) |
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| 32. |
For what value of k the following system of linear equations is inconsistent:(i) 4x + y = 11; 2x + y = 7(ii) 6x + 3y = k -3; 12x+6y=k. Find the value of R for which the following system of linear equations has unique solution:(i) kox - y = 2; 6x - 2y = 3(ii) 4x - 5y = k; 2x - 3y = 12 |
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Answer» Which questions who want to solve from me 4x+6y=11 ; 2x-ky=7; 2(2x-ky=7)=4x-2ky=14; 4x+6y=11//6y-2ky=3; 6y-2ky=3; 6-2k=3; -2k=9; k=9/2=3 |
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| 33. |
58. If the ma term of an A.P. isand the nh term is m, show the sum of itsfirst(mn) terms is(mn + 1). |
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| 34. |
In the parallelogram PQRS, <P = (8x + 20)。and <R = (10x-10). Find the value ofand 4Q3.(8x+20°)(10x-100 R |
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| 35. |
Solve the following system of equation(a) 2x-y=11 and 5x +4y=1 |
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Answer» 2x -y =11-y = 11-2xy = 2x-11 ----- Eq 15x + 4y = 1 ---- Eq 2Substituting value of y in Eq 2.5x + 4(2x -11) = 15x +8x -44 =113x = 45x = 13/45 y = 2x - 11y = 2 *13/45 -11 = 26/45 -11. |
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| 36. |
p(x) = 3x2-1; x= |
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| 37. |
6. In the given triangle, ABC,AB-AC. Plld ulthree angles of the triangleA01107. If 1| m, find the values of the unknown angles in thefigure given below.125° |
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Answer» 6. A = 110° + x = 180° (Linear pair)180° -110°= 70°The sum of all sides of triangle is 180°.So, tbe sum of angle A,B and C is 180°A+B+C=180°70°+x+x=180°2x=180°-70°2x=110°x=110°/2x=55° |
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| 38. |
8x +2x=? |
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Answer» 10x is the correct answer |
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| 39. |
8x, 24 |
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| 40. |
A gardener plans to plant 735 trees in 21 rows each containing the same number of trees, then how many trees will there be in each row?a. 350b. 35c. 21d. 3 |
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Answer» Number of trees in each row=735/21=35 Number of tree in 21 row =735=735÷21 =35Each row contain 35 trees |
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| 41. |
Find the unknown angles in the given figure. |
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Answer» x = y as sides opposite to both the angles are same its triangle so x + y + 80 = 180 2x = 100 x = 50 = y x and y both angles are 50 degrees |
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| 42. |
Solve the exponential form:(14/ 12 x ( )8X (ě)330 |
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| 43. |
Ex. (2) Solve:x2 + 8x 48 0 |
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Answer» x^2 + 8x - 48 = 0x^2 + 12x - 4x - 48 = 0x(x + 12) - 4(x + 12) = 0(x - 4)(x + 12) = 0x = 4, - 12 |
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| 44. |
Find all unknown angles.) RCb)2c3x230 |
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Answer» 3x+2x+x+2x=3608x=360x=45hence the angles are 3x=1352x=90x=45 |
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| 45. |
1 Solve x ^-3x -16x +48= 0, given thatthe sum of two roots is zero. |
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Answer» Factor it by grouping. x^3 - 3x^2 - 16x + 48 = x^2(x-3) - 16(x-3) = (x-3)(x^2-16) = (x-3)(x+4)(x-4) Set the product equal to zero, and apply zero product property. Zeros are -4, 3, 4. tq |
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| 46. |
2 In Fig. 6.14, lines AY and MNLPOY#90anda:b#2:3.finde.eoRQIt |
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| 47. |
2Q32. Solve the following system of equation x+ya+bury(1) = 2a, 9 26 (2) 2a + 1 (3) ay )033 /bial) |
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Answer» Here is the solution (x+y) = (a+b) -------------(1) ax-by = a^2-b^2 ---------(2) Multiplying eq(1) by b and adding eq(1) and eq(2) (bx+by)+(ax-by) = (ab +b^2)+(a^2-b^2) x(a+b) = ab+a^2 x(a+b) = a(a+b) x = a Putting this value in eq(1) a+y = a+b y = b Hence, x = a and y = b (3) is correct option 3 rd is correct answer |
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| 48. |
Solve x^3-3x2-16x +48=0, given thatthe sum of two roots is zero. |
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| 49. |
15. In the figure, two tangents RQ and RP are drawnfrom an external point R to the circle with centreO. If PRQ = 120°. Then prove that OR = PR +RQ. |
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| 50. |
()Solve for x if=8x2 |
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