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.
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222. Ifaand B are the zeroes of the quadratic polynomials f(x)- -6x + a, find the value of 'a |
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Answer» Polynomial P(x) = x² - 6 x + aGivenα andβ are the roots. To find a , if 3α + 2β = 20. ---(1) From the quadratic expression: α +β = 6 ---(2) and αβ = a --- (3) Multiply equation (2) by 2 and subtract from (1) to get: α = 20 -12 = 8 Substitute this value in(2) to get: β = 6-8 = -2 Substitute these in (3) to get: a =αβ = -16. |
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| 2. |
e point A (4,3) and B(x, 5) are on the circle with centre O[2 3) find the valueof x.Q.1If th |
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| 3. |
Exercise -3iv)Find the value ofthe unknown x' in the following trianglesThe0)In thvalu50"60In te unknowns x'and y 'in the following diagrams.Find the values of the |
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Answer» use the fact sum of angles in triangle is 180i) x = 180 -60-50 = 180- 110 = 70ii) x = 180- 90-30 = 60iii) x = 180 - 30 - 110 = 40 |
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| 4. |
1. Solve each of the following pairs ofequations by reducing them to a pairof linear equations.(AS1)5i)=2x-1 y 23x-1 y |
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| 5. |
Find the value of k for which the system of equations has a unique solutionx - y = 2, 3x + 2y = - 5.(CBSE 2013-SAVTREthe following pair of linear equations has infinitely man |
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| 6. |
\int_{6}^{6}|x| d x |
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Answer» thanx |
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| 7. |
234mon ato and the ter |
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Answer» question is not clear please post the complete question |
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| 8. |
Q 18:Solve graphically the system of linear equations: |
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Answer» Red line 2x + y = 8Blue line x + 1 = 2y Point of intersection is (3,2) which is the solution |
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| 9. |
Solve forx ( x के लिए |
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Answer» x-15/3=x-3/55x-75=3x-92x=64x=32 |
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| 10. |
Solve the given inequality graphically in two-dimensional plane: 2x y26 |
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| 11. |
Solve the pair of linear equations 5x-y=2 and x-y=-2 graphically |
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Answer» Red line : 5x - y = 2Blue line : x-y = -2 They intersect at (1,3) so, solution is x = 1 and y = 3 thanks brother |
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| 12. |
Represent the following system of linear equations graphically 2x-y=2 4x-y=8 |
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| 13. |
68. Solve forx:-4+1-66:*x+4.6 |
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| 14. |
Solve the equation forx,y,2andt,if 2b :H+3-30 2 4 6 |
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| 15. |
(1) Forx = 0 find the value of the polynomial x2-5x + 5. |
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| 16. |
Solve the following system of linear equation graphicallyx-y = 1 ; 2x+y = 8 |
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Answer» So red line is x - y = 1 andblue line is 2x + y = 8 There point of intersection is (3,2) |
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| 17. |
Q28. Sclve the following system of linear equation graphicallyx-y=1.2 x+y=8 |
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Answer» solution of this equations is(3,2) |
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| 18. |
Salue the pair as linear equation 2x+y=650and 48-24-4.56 by graphically |
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| 19. |
anish1Ekta carnsHow much1500 in 10 dayswill the earnIn 30 days? |
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Answer» it is 4500 1500 × 3 is 4500 1500×3 4500₹ is the answer 1500×3=4500₹ is answer. 1500+1500+1500=4500 is the answer 1500x4500=4500 Rs answer |
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| 20. |
Success Ltd. issued 12,000 shares of 100 each. The amount of share payable as 20on application, 40 on allotment and 40 on first and final call. All amount have beenduly received. Pass the necessary journal entries in the books of the company.[ Ans. Cash received from Bank 12,00,000 1The authorised capital of X Limited is 2,00,000 which is divided i n |
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| 21. |
47उदाहरण 6. सिद्ध कीजिए किcot- 7+ cot-18+ cot-1 18 = cot3(NCERT) |
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| 22. |
3 + 7 + 11 + 15 + \ldots \text { is } 47 ? |
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Answer» not right answer yrrr 😊 eska answer 12th hai sorry for inconvenience actually I calculated whether the sum of sequence can be 47. tq |
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| 23. |
Match the following : (a) Cone (i) (b) Sphere (ii) (c) Cylinder (iii) (d) Cuboid (iv) (e) Pyramid (v) Give two new examples of each shape |
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Answer» pyramid and cylinder are the answers cone- funnel,birthday capsphere-football,earthcylinder-roller,bucketcuboid-box,roompyramid- |
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| 24. |
26.Show that7 +47-16-46-Vi,5-2 |
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Answer» 1/3-√8-1/√8-√7+1/√7-√6-1/√6-√5+1/√5-2=5Now,1/3-√8 = 3+√8, 1/√8-√7 = √8+√7,1/√7-√6 =√7+√6,1/√6-√5 = √6+√5,1/√5-2 =√5+2∴ 1/3-√8-1/√8-√7+1/√7-√6-1/√6-√5+1/√5-2= 3+√8-√8-√7+√7+√6-√6-√5+√5+2=3+2 = 5Hence proved. |
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| 25. |
multiplyxy×2xsquare y ×2xysquare |
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Answer» xy × 2x²y × 2xy²4x⁴y⁴4(xy)⁴ |
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| 26. |
s. 30 men can finish a piece of work Ill 2uAnish it?&. A garrison of 200 men had provisions for 45 days. After 15 days, 40 more men loin thegrrison.Find the number of days for which the remaining food will last |
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| 27. |
find the value of k so that the following quadratic equation has equal roots:. 2xsquare -(k-2)x +1= 0 |
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| 28. |
4 x - 19 y + 13 = 0,13 x - 23 y = - 19 |
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| 29. |
x - \frac { 7 } { 19 } = \frac { 5 } { 19 } , \text { then } x = |
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Answer» x= 5/19+7/19= 12/19 |
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| 30. |
35 14Solve forx and yxt-y +x-y =19 , x+ y +x-s-87Q-19 |
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Answer» Let 1/(x+y)=m ; 1/(x-y)=n ; So the equations become, 35m+14n=19 (1)14m+35n=37 (2)Adding 1 and 2,49m+49n=567m+7n=8 (3)Subtracting 1 and 2,21m-21n=-18 7m-7n=-6 (4)Adding 3 and 4,14m=2 m=1/7 So x+y=7. (5)1+7n=8 n=1 x-y=1. (6)Adding 5 and 6,2x=8 ,x=4,4+y=7 y=3. |
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| 31. |
7. In the adjoining figure find tha value of a+ b if DBE 90°90° |
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Answer» a+dbe+b=180°a+b+90°=180°a+b=180°-90°a+b=90° |
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| 32. |
L कि बे s e Y3 -2 =7 B -2 -7) | —+ +| —+—(4 b 10 4 ( 5 है:4 मार 4. |
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Answer» Please hit the like button if this helped you |
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| 33. |
what is tha value of sin90 |
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Answer» The value of sin90 is 1. |
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| 34. |
(7/4)*((9/15)*(4/7)) |
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Answer» 252/420 is the correct answer 9/15=0.6 is the answer because 4 in the numerator and 4 in the denominator cancels out and similarly 7 in the numerator cancels out 7 in the denominator. 9/15*1= 9/15=0.6 ans 9/15*1=9/15=0.6 answer 2.714 is right answer this question 9/15*1=9/15=0.6 answer |
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| 35. |
(4/7+47)+(7/4+47) |
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Answer» 2207/28 is the correct answer of the given 2207/28 is the right answer to your question I hope it helped you .😅 2207/28 is the correct answer of the following |
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| 36. |
The number of wickets taken by a bowler in 5 matches.MatchMatch Match IMatchIlI Match IV Match V4Number of wicketsUse a bar-graph to represent the data. |
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| 37. |
매주 저 억주하 [To reduce ax + by + c = 0into slope intercept form] |
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Answer» ax+by+c =0 => by = -ax-c=> y = -ax/b -c/b here slope is -a/b and y-intercept is -c/b |
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| 38. |
add 2xsquare +3xy+1 and xsquare+5+4xy |
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Answer» Add ( 2x^2 + 3xy +1) and (x^2 +4xy + 5)= (2x^2 + x^2) + (3xy+4xy) + (1+5)= 3x^2 + 7xy + 6 |
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| 39. |
0(x) 3xy) |
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Answer» PLEASE LIKE THE SOLUTION |
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| 40. |
Derive the equation of the plane in the intercept form. |
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| 41. |
Describe the intercept form of the equation of straight lineStraight fine |
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| 42. |
thefollowingequations into intercept form and find theasesncs2-12-0, (i) 4x -3y 6, |
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| 43. |
A ladder reaches a window which is 12 m above the ground on one side of the streetKeeping its foot ato reach a window at a height of 9 m. Find the width of the street if the length of theladder is 15 m9.t the same point, the ladder is turned to the other side of the street |
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| 44. |
duce the following equations into slope - intercept form and find theird the y - intercepts.(ii) 6x +3y-5 0, (iii) [y 0 |
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| 45. |
Reduce the following equations into slopeand the y - intercepts.(i) x+7y = 0,intercept form and find their slopesod(ii)6x+3y-5:0.(iii)0.y |
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| 46. |
. Reduce the following equations into slope - intercept form and find their slopesand the y - intercepts.x+7y-0,(i)(ii)6x+3y-5-0,(iii)i1)yy-o |
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| 47. |
Find the distance between the parallel lines 3x -4y +7 -and3x -4y +5 0 |
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Answer» d = (7-5)/√(3^2 + 4^2) = 2/5 answer. is 2 / 25 if this is correct. or not plz tell me |
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| 48. |
Find the distance between the parallel lines 3x -4y +70 and3x -4y +5 0 |
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| 49. |
Find the distance between the parallel lines 3x - 4y +7 -0 and3x -4y +5 0 |
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| 50. |
6. Find angles between the lines 3x + y =1 and x+/3y =1(रेखाओं /3x+v=1 और +3y =1 के बीच का कोण ज्ञातकीजिए) |
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