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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help.comSection B1 Without drawing the graphs, state whether the following pair of linear equations wilrepresent intersecting lines, coincident lines or parallel lines:6x-3y+ 10 02x-y+9 0Justify your answer.ns 70°szeser 33 2cos 60° |
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Answer» Given 6x -3y + 10 = 0 2x - y + 9 = 0 Comparing coffecients 6/2 = 3/1 -3/-1 = 3/1 10/9 So, we see this is third case of parallel and there is no solution. Please hit like if you find my solution useful |
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17. Write ie tOrepresent coincident linesFind the values of o and Ă so that the pair of equations (20.- 1)x +3y -5 0 and+ (B-y)-2 0 has infinite number solutionsf I for uhich the pair of linear equations (3k + 1)x +5y -2 0 and |
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片nd, also .thr values of a and b . |
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Answer» hence a is 7 and b is -9 |
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| 4. |
√7-2/√7+2=a√7+b |
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√7-2/√7+2=a√7 + b |
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| 6. |
Pythagoras theorem |
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| 7. |
Check whether the pair of equations x-2y = 0 and 3x + 4y = 20 represent intersecting, parallel orcoincident lines. Find the solution, if the equations are consistent. (R.V) |
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36. The speed of a motor boat in still water is 15 km/hour. If it goes down thestream 30km and again returns to the starting point in a total time of 4 hours and30 minutes. Find the spsed of the stream.ORT 0 Had she bought 5 more books for the |
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| 9. |
Pythagoras theorem? |
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Answer» Ans :- In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. |
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| 10. |
Prove Pythagoras theorem. |
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| 11. |
State Pythagoras' Theorem |
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Answer» a2+b2=c2 you can. use any other variable |
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| 12. |
prove Pythagoras theorem |
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| 13. |
Teachers SignatureSolve the following pair of linear equationshair of linear equations by any suitablx+y = 52x - 3y = 5. |
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Answer» Bro long answer x+y =5 ----- 12x-3y=5 ------ 2 multiply equ 1 with 22x +2y=102x-3y = 5- + --------------------y =5y= -5 substitutein x+y =5x-5=5x =10 x= 10y= -5 It is correct answer please check the comment in the above message correct answer is x = 4, y = 1 it is correct answer x+y = 5; 2x-3y=5;; 2(x+y=5); 2x+2y=10; 2x+3y=5/y=5 ;; 2x-3(5)=5; ; 2x=5+15=20; x=20/2=10 it is correct answer |
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9. State Pythagoras Theorem. |
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| 15. |
Q.14. If α and β are zeroes of a quadratic polynomial 4x2 + 4x+ 1, then form a quadraticAns. 2 + 2x +1]polynomial whose zeroes are 2α and 2βQ.15. Solve the following pair nf linear |
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Answer» the equationwill be x^2-(sum of roots)+ product of roots so it will be x^2+2x+1 |
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| 16. |
Solve the following linear equa1. |
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| 17. |
6 Solve the following linear inequations : |
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Answer» hey thanks a lot for helping me out Will u plzzz represent this on the number line for me plzzz....😯 |
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| 18. |
Solve the following linear equation1. 2x |
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Answer» 2x-1/3=1/5-x2x+x=1/5+1/33x=3+5/153x=8/15x=8/45 |
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| 19. |
60°Find the value of x |
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Answer» We know,angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle . Therefore,x = 2*60x = 120° |
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A motor-boat whose speed is 15km/hr in still water goes 30km down-streamand come back is a total time of 4 hours 30mins. Find the speed of the stream. |
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Answer» Let the speed of stream be x km/hSpeed downstream= (15+x)km/hSpeed upstream= (15-x)km/hTherefore, 30/15+x + 30/15-x =4½900/225-x²=9/29x²=225x²=25x= 5km/hr |
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arrange the following ratio in descending order:7:63,12:54,12:27? |
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| 22. |
9.60°Find the value of x |
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Answer» 120 degree (angle subtended by an arc at the centre is twice the angle subtended by it at any remaining part of the circle |
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| 23. |
A motor boat whose speed in still water is 18km/h, takes 1hr more to go 24km upstreamthan to return downstream to the same spot. Find the speed of the stream.14. |
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| 24. |
if the sum of fi=60+12a and sum of fixi=2800+640aand mean =60 Find 'a' |
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Answer» Mean = sum of fixi / sum of fi 60 = (2800+640a)/(60+12a) 3600 + 720a = 2800 + 640a 720a - 640a = 2800 - 3600 80a = -800 a = -800/80 a = -10 If you find this answer helpful then like it. |
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| 25. |
9.60°Find the value of x' |
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Answer» x=2*60°=120° because the angle subtended by an arc at the centre is twice the angle subtended by it on the circle. |
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| 26. |
Find AB60°302045° h60° |
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Answer» from triangle ACF , the value of AC = CF/tan45° = 20. and assume a perpendicular distance from F, parallel to CD then the value of CD = tan 60°*(DE-CF) = √3*10 = 10√3. And at last the value of DB = DE/tan60 = 30/√3 = 10√3. so , total distance AB = AC+CD+DB = 20+10√3+10√3 = 20(1+√3). |
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7. Find AB60°203045° H60° |
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| 28. |
21. An aeroplane, when 3000 m high, passes vertically above another plane at aninstant when the angle of elevation of two aeroplanes from the same point onthe ground are 60° and 45° respectively. Find the vertical distance between thetwo planes. C126) |
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if breadth is 12 and perimeter is 60 find the length |
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Answer» Perimeter of rectangle=2(l+b)b=12P=6060=2(l+12)60=2l+242l=60-242l=36l=36/2l=18 |
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frenthe some pomt60 Find the heith the t |
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| 31. |
X:90 :: 104: 78 |
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Answer» 120 the correct answer of the given question the answer is 120.... |
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| 32. |
7*x %2B 2*x^3 %2B 7*x^2 - 15 |
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5.2. 23, 49, 50, 65 arranged in ascending order is 14The median of the data 3.5. 10. 12.Find the value of x. |
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Answer» median is the n/2 + n/2 +1 th term if n is even. x + x + 2 = 142x= 12x = 6 any doubt feel free to ask in chat but plz accept my answer as best 6 is the correct answer of the given question is x=6 is the right answer median n/2 + n/2 +1 ; x + x + 2 = 14; 2x = 12;; x = 12/2 = 6 x=6 is the correct answer |
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The following observations have been arranged in ascending order.If the median of the data is 63. Find the value of29, 32, 48, 50, x, x+2, 72, 78, 84, 95 |
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| 35. |
arrange the following ratio in ascending form :3:7,5:9,1:3? |
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Answer» 3/7 = 0.4284 5/9 = 0.556 1/3 = 0.333 1:3,3:7,5:9 If you find this answer helpful then like it. |
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quadratic equation 9x2-3-2 = 0./P.S |
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For what value of 'k' does the equation 9x2 +3kx +4 0 has equalroots? |
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Answer» For equal roots discriminant is zerohenceb^2-4ac=0hence(3k)^2 - 4*4*9 = 0 k^2 - 16 = 0 k = √16 = 4 wrong |
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| 38. |
if the equation 9x2 +4kx+4=o has equal roots then find the value of k |
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| 39. |
The angle of elevation of a cloud from a point 60 m above the surface of the water of a lakeis 300 and the angle of depression of its shadow from the same point in water of lake is 60Find the height of the cloud from the surface of water |
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The angle of elevation of a cloud from a point 60 m above the surface of the water of a lakeis 30° and the angle of depression of its shadow from the same point in water of lake is 60.Find the height of the cloud from the surface of water. |
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Answer» Let AO=HCD=OB=60mA'B=AB=(60+H)m In triangke AOD,tan30'=AO/OD=H/OD H=OD/√3OD=√3 H Now, in triangle A'OD,tan60'=OA'/OD=(OB+BA')/OD√3=(60+60+H)/√3 H =(120+H)/√3 H=>120+H=3H 2H=120 H=60m Thus, height of the cloud above the lake = AB+A'B =(60+60) = 120m |
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The angle of elevation of a cloud from a point 60 m above the surface of the water of a lakeis 30° and the angle of depression of its shadow from the same point in water of lake is 60Find the height of the cloud from the surface of water |
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ORThe angle of elevation of a cloud from a point 60 m above the surface of the water of a lakeis 30% and the angle of depression of its shadow from the same point in water of lake is 60Find the height of the cloud from the surface of water. |
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has 600 litres of a 121 solution of and How many litres of a 30% acidmanufacturersolutionthan 15% but less than 18% ?s Amust be added to it so that acid content in the resultingmixture will be more |
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013. The angle of elebation of a cloud from a point 60 m above a lake is 30 andthe angle of depresion ofits reflection in the lake is 60. Find the height of thethermund passes vertically |
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| 45. |
x^2 %2B 7*x %2B 10 |
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| 46. |
x ^ 2 %2B 7 x %2B 12 |
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Answer» x^2 + 7x + 12 = 0x^2 + 4x + 3x + 12 = 0x(x + 4) + 3(x + 4) = 0(x + 3)(x + 4) = 0x = - 3, - 4 |
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x^2 %2B 7*x %2B 6 |
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| 48. |
Let .SİM) denote the sum of the digits of a positive integer M written in base 10, Let N Dethe smallest positive integer such that S(N) 2013. What is the valve of S(5N +2013 |
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Answer» the smallest positive integer with sum of its digits being equal to2013 will be 6999...999...with the total of 2239's. Mutliply it by55. It will turn into 34999...9995... having 2229's in the middle. Finally, add 2013. Your number will turn into 35000...00012008... containing 21800's in between. The value ofSSbecomes S(5N+2013)=19 Sorry but I didn't get it |
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1dl.1) 1 + a=0 -2) a + 7 = 03) -4 + a=04) a + (-8) = 0Write true / false1) The sum of an integer and its negative is zero2) -400, -300, -150, 0, 50 are in ascending order_ False3) The sum of a-ve integer and positive integer is always a-ve integer4) The sum of 3 different integers can never be zero5) Since - 4 <-3,1-41<-36) 14-31 = | 41+31.7) The - ve of a - ve integer is a + ve integer3) The sum of two opposite numbers is 1D) The smallest positive integer is 0.10 ) There is no integer between -1 & 11) Absolute value of an integer is the distance of that integer from 0olve the following: |
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Answer» 1 true2 true3 false4 false5 false6 false7 true8 false9 false10 false11 true 1- true2-true3-false4-false5-false6- false7-true8-false9-true10-false11-true 1. true 2. true 3.false 4.false 5.false6. false7. true 8.false 9.true10.false truetruefalsefalsefalsefalsetrue falsetruefalse 1) true2) true3) false4) false5) false6) false7) true8)false true truefalsefalsefalsefalsetrue falsetruefalsetrue truetruefalsefalsefalsefalsetruefalsetruefalsetrue 1 true2 true3 false4 false5 false 6 false7 true8 false9 false10 false11 true 1)true2)false3)false4)true5)false6)false7)fasle8)false9)fasle10)true11)true 1 true2 true3 false4 false5 false6 false7 true8 false9 false10 false11 true |
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Q.5. If thenecian of the data arranged in ascending order is 63, find the value of x in.6 A9, 32, 48, x -2, x,x+2,72, 78. 84, 95 |
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Answer» Given observation are: 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 Total number of observation i.e n = 10 Given, median = 63 => (5th value ofobservation + 6th value of observation)/2 = 63 [if number of observation is even then median = mean of (n/2)th value of observation + {(n/2) + 1}th value of observation] => (x + x + 2)/2 = 63 => (2x + 2)/2 = 63 => 2x + 2 = 63*2 => 2x + 2 = 126 => 2x = 126-2 => 2x = 124 => x = 124/2 => x = 62 Hence, the value of x is 62 Like my answer if you find it useful! |
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