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. |
What sholud be subtracted from 1 to get -3/16 |
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Answer» Answer:
Step-by-step explanation:
Thank You Plz mark my answer as BRAINLIEST |
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| 2. |
If cos 2A = tan-B, then show that cos 2B = tan-A.In ABC, prove that |
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Answer» ......mmmmggngtfcgbg H |
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| 3. |
If 2x² + 2y² - 2x + 2y +1 = 0. Find x+y |
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Answer» Answer: x² + y² - 14x + 2y + 2xy + 17 = 0 4x² + y² - 4XY + 104x + 148y - 124 = 0 Step-by-step explanation: (1) Given Equation is x = y - 1 It can be written as, x - y = -1 ---- (i) -y = -x - 1 y = x + 1 ∴ Slope = 1. ∴ Slope of axis = -1. Equation of axis is y - 1 = -1(x - 2) y - 1 = -x + 2 y - 1 + x - 2 = 0 x + y - 3 = 0 ---- (ii) On solving (i) & (ii), we get x - y = -1 x + y = 3 ------------ 2X = 2 x = 1 Substitute x = 1 in (i), we get x - y = -1 1 - y = -1 y = 2 ∴ The directrix and axis intersects at A(1,2) LET h(s,k) be the focus of parabola. ∴ V(2,1) is the mid-point of AS. ∴ 2 = 1 + h/2 and 1 = 2 + k/2 h = 3, k = 0. ∴ Focus is S(3,0). Let P(x,y) be any point on parabola. PS = PM ⇒√(x - 3)² + (y - 0)² = |x -y + 1/√1 + 1| On Squaring both sides, we get ⇒ (x - 3)² + y² = (x - y + 1)^2/2) ⇒ x² + 9 - 6y + y² = x² + y² + 1 - 2xy - 2y + 2x/2 ⇒ 2x² + 18 - 12y + 2y² = x² + y² + 1 - 2xy - 2y + 2x ⇒ x² + y² - 14x + 2y + 2xy + 17 = 0 -------------------------------------------------------------------------------------------- (2) Let the focus be S(-6,-6) and vertex be A(-2,2) Let z(x,y) be the projection of S on directrix. A is the mid-point of SZ. ⇒ (-2,2) = (-6 + x/2, -6 + y/2) ⇒ x = 2, y = 10. ∴ Z = (2,10) Slope of directrix = -1/(-6 - 2/-6 + 2) = -1/2.. Equation of directrix is y - 10 = -1/2(x - 2) ⇒ 2y - 20 = -x + 2 ⇒ 2y - 20 + x - 2 = 0 ⇒ x + 2y - 22 = 0. Let P(x,y) be any point on the parabola, then SP = PM SP² = PM²{PM is the perpendicular from P to the directrix} ⇒ (x + 6)² + (y + 6)² = (x+ 2y - 22)²/1² + 4 ⇒ x² + 36 + 12x + y² + 36 + 12y = x² + 4xy - 44x + 4y² - 88y + 484/5 ⇒ 5(x² + 36 + 12x + y² + 36 + 12y) = x² + 4xy - 44x + 4y² - 88y + 484 ⇒ 5x² + 60x + 5y² + 60Y + 360 = x² + 4xy - 44x + 4y² - 88y + 484 ⇒ 5x² + 104x - 4yx + y² + 148y - 124 - x² = 0 ⇒ 4x² + y² - 4xy + 104x + 148y - 124 = 0 (or) (2x - y)² + 104x + 148y - 124 = 0 Hope it helps! |
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| 4. |
Find the product using suitable rearrangement (-17 ) × (-10) × 9 |
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Answer» 170*9=153 CHECK the answer |
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| 6. |
There is a narrow rectangular plot reserved for a school, in a city. The length & breadth of the plot are in the ratio 15:7.at the the rate of Rs. 100per metre it will cost Rs. 44000 to fence the plot. What are the dimensions of the plot |
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Answer» Step-by-step explanation: Let, the TOTAL cost of fencing plot=Rs..44000. and the rate of fencing =Rs..100/m^2. thus, the area of a plot =total cost of fencing. ÷ rate of fencing.
=> 44000/100 =440m^2. then, their dimension of plot = length=15X and breadth=7x. thus, the aera of plot =440m^2. 15x × 7x =440m^2. 105x^2 =440m^2. x^2=440/105 =88/21=4.19m. x=√4.19 =2.04m. hence, length=15*2.04=30.6m. and breadth=7*2.04=14.28m. proved.... Thanks❤❤❤.follow me.... |
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| 7. |
EXPERIMENT TO DETERMINE RADIUS OF EARTH(USING 10th STD TRIGNOMETRY)TO BE CONDUCTED ON ZERO SHADOW DAYMaterials required : Ruler, Pencil,Method: Eratostenes, a Mathematician at Alexandria performed this experiment during 250BC .• Let us assume a student at GULBARGA is performing this experiment.• Find out the date of Zero shadow day for a place say Bangalore (not your Town). It is 18thAugust. Identify distance of your place from Bangalore.(GULBARGA-BANGALORE – 600Km)• Select a flat surface in your school/house/terrace.• Fix the Ruler vertically. Measure the length of the ruler. Let it be 15cm.• At 12 noon on ZERO SHADOW DAY (at Bangalore), measure the length of the shadow of theruler (in GULBARGA). Let it be 1.5cm.• Angle made by SUNs rays with the ruler at your place is |
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Answer» Yaar i am in 10th std.but i didnt do any such a problem LIKE this. i am SORRY for IRRELEVANT answer |
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| 8. |
(-1)×(-3)×(-5)×(-10) how to do this promblem please show |
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Answer» Answer: Step-by-step EXPLANATION: (-1) × (-3) = 3. SINCE (-) × (-) = (+) and 1×3 =3
(-5) × (-10) = 50. since (-) × (-) = (+) and 5 × 10 = 50 3 × 50 = 150
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| 9. |
What is the value of cosec^2A-cot^2A? |
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Answer» ANSWER cosec 2A−cot2A−tanA sin2A 1
− sin2A cos2A
−tanA A 1−cos2A
−tanA 2sinAcosA 1−(1−2sin 2 A)
−tanA = 2sinAcosA 2sin 2 A
−tanA
=tanA−tanA =0 plz FOLLOW me |
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| 10. |
SYat Iy4Y+yastyti23 = y²y30423-51-X2076ut 8x²02x² +1 144/17-4/112xY2 |
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| 12. |
Find the value of xFig 6.29 from class 7th chapter triangles and its properties |
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Answer» Buddy, mention your complete question. Do you want only your 7th class FRNDS only 2 answer this. Mention the entire question, not it's details. |
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| 13. |
In ∆ ABC and ∆ PQR, it is given that AB = AC, ∠C =∠P and ∠B =∠Q. Then the two triangles are |
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Answer» Congruent |
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| 14. |
A rectangular field is 15by2/3long and12by4/5m wide find its perimeter |
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Answer» Answer: Length of the field=15 by 2/3=45/2m Breadth of the field=12 by 4/5 m=60/4=15 m Perimeter of rectangle=2(length+breadth) =2(45/2+15) m =2x75/2 =75 m Hope this HELPS....Thank You.... |
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| 15. |
two trains are running in opposite direction with a speed of 62km/hr and 40km/hr respectively .if the length of one train is250 meters and they cross each other in 18 seconds then what is the length of the other train |
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Answer» Step-by-step explanation: in the question given is that Two trains are RUNNING in opposite directions with speeds of 62 km/h and 40 km/h respectively. whenever we have a problem to be solved with the two moving objects we should USE the concept of relative speed. “Relative” means “in comparison to”. which says if the two moving objects are moving To make things simpler, one body can be made stationary (i.e. Speed =ZERO) and take the Speed of the other body with respect to the stationary body, which is the sum of the Speeds if the bodies are moving in the opposite DIRECTION and the difference if they are moving in the same direction. This Speed of the moving body with respect to the stationary body is called the Relative Speed. two trains are moving with speed 62 km/h consider train A train b with 40 km/h relative speed of train A is = 62 + 40 =102 km/h= (102 * 5) / 18 = 28.33 m/s speed = distance / time two trains require 18 sec to cross each other distance would be sum of LENGTH of trains consider the train a ha s length 260 m so train be length Y speed = distance / time 102 km/h = ( 260 + Y) m/ 18 y= 250 reative speed s1+s2=62+40=102kmph or 28.33 mps total distance=length of train one+train of length of two=260+x. (x=length of train two) time 18 sec 260+x=(102*5)/18*18 260+x=510 x=510–260 x=250 ans |
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| 17. |
Q9 find the value of angle x* |
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Answer» Answer: I think 60. Step-by-step EXPLANATION: |
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| 18. |
6pipes are require to fill a trank in 1hour 20minutes. How will it take it only 4pipes of same type are used? |
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| 19. |
Tomas needs exactly 6 potatoes to make 12 potato pancakes. |
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Answer» Step-by-step EXPLANATION: YES............................. |
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| 20. |
35467 divisible by 11 or not |
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Answer» Answer: No Step-by-step explanation: Digits at ODD PLACES= 7+4+3=14 Digits at even places= 6+5 =-11 = 3 So therefore,35467 is not divisible by 11. Hope it HELPS, PLEASE mark me as Brainliest |
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| 21. |
(X+1), 3x and(4x+2) are the first 3 terms of ap then x =? |
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Answer»
Given , 1st term = ( x + 1 ) 2nd term = 3x 3rd term = ( 4x + 2 ) ________________________________ → 2nd term - 1st term = 3x - ( x + 1 ) = 3x - x - 1 = 2X - 1
→ 3rd term - 2nd term = 4x + 2 - 3x = x + 2 ________________________________ These two DIFFERENCES are same because common difference is the same . → 2x -1 = x + 2 → 2x -x = 2 + 1 → x = 3 The THREE terms of the a.p. are 4 , 9 and 14 . HOPE IT HELPS U ........... :) |
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| 22. |
The constant term of x^2 + 7x + 12 is ______ |
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Answer» CONSTANT term=12 Step-by-step explanation: |
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| 23. |
-x-y+z ka whole square formula |
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Answer» (X-y-Z)². = [x+(-y)+(-z)]². = x²+(- y)²+(-z)²+2x(-y)+2(-y)(-z)+2(-z)x. /* By ALGEBRAIC IDENTITY: (a+b+c)²=a²+b²+c²+2ab+2bc+2ca */. |
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| 24. |
Two numbers are in the ratio of 3:5 if their sum 64 than numbers are |
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Answer»
Let the two numbers be 3X and 5x . Their sum = 64 _____________________________________ The two numbers are 24 and 40 .
HOPE IT HELPS U .............. :) |
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| 25. |
5x/3+2/5-1 ans ans ans ans ans |
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Answer» Answer: 25.............................. |
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| 26. |
Subtract the sum of - 3 upon 10 and - 2 upon 3 from the sum of 3 upon 5 and 7 upon 3 |
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Answer» Step-by-step explanation: 3/5+7/3-(-3/10)+(-2/3) 3/5+7/3=44/15-(-29/30)=88+29/30. (LCM) =117/30 (-3/10)+(-2/3)=(-9+(-20))/30. (LCM) =-29/30 117/30-(-29/30) = 146/30= 4.86 |
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| 27. |
Last three days of a week. it call sets, why |
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Answer» Last three DAYS of a WEEK is a set because they are finite Step-by-step explanation: |
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| 28. |
What should be subtracted from 8314 to make it a perfect square? |
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Answer» how?????????????????????? |
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| 29. |
If ( 5 , 0 ) is a solution of x -5y = 2k , then value of k is |
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Answer» k=2.5 Step-by-step explanation: 5-5(0)=2k 5-0=2k 2k=5 k=5/2 k=2.5 I hope this answer MAY help you |
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| 30. |
Ascending order of -106,107,-320,-7,185 in integers |
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Answer» Answer: ascending order is -7185,-320,-106,107 Step-by-step EXPLANATION: |
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| 31. |
1 लिफ्ट में 12 बड़े अथवा 20 बच्चों को ले जाने की छमता है यदि 5 बचो के साथ लिफ्ट में जाना हो तो कितने बड़े व्यक्ति जा सकते है |
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Answer» Answer: 18 PEOPLE's Step-by-step explanation: |
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| 32. |
Which term of an A.P 3,8,13,18..........,93 |
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Answer» Answer: Step-by-step explanation: 6th TERM in given A.P is 78 Step-by-step explanation: Given A.P : 3,8,13,18,....,78 First term (a) = 3 , COMMON difference (d)= = $8-3$ = $5$ a+(n-1)d=78 (n-1)5=75 n-1=15 n=16 Therefore, 16th term in given A.P is 78 |
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| 33. |
Subtract 1 + x^2 + y^2 from the sum of x^2 - y^2 and 1 - x^2 - y^2 |
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Answer» Step-by-step explanation: Hope this HELPS please MARK as the Brainliest Follow me please |
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| 35. |
Sum of the natural no and thrice its square is 154.Find the no by factorisation |
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Answer» ecosystem of people and energy boxes so many have to the ecosystem I am the energy BARS to do so many times it is the 15 August 2017 August and added to buy day of the ccr so many people I will leave the collected for sound I will have pppthe body was found in the box to the country and my people I place my dearto have called you better believe in even a and so many people of the acceleration of the remaining after delivery for sound boxes to the country and my people I will devotion and thereafter the cultivated FOREST found in the box to the country and my paypal IPN my device and the so many people have to cultivated for the device in |
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| 36. |
Help please who one anwer right i will mark brainleast |
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| 37. |
2For warrantypurposeWO |
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Answer» ..............What ?
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| 38. |
Find two rational numbers between 1and 2 |
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Answer» Answer: 3 by 2 and 5 by 4 are the two rational numbers between 1 and 2 Step-by-step EXPLANATION: FIRST number- 1/2(1+2)=3/2 Second number- 1/2(1+3/2)=5/4 Hope you will understand and Thank you.... |
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| 39. |
X-3y = 84x - y = 21 |
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Answer» saimultanius EQVATION he Step-by-step EXPLANATION: |
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| 40. |
5. Factorise :1. x³- 2x²- x+22.2y³+y²-2y-1 |
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Answer» Answer: (i) Let the given POLYNOMIAL be, p(x)=x3−2x2−x+2 By trial method, p(1)=(1)3−2(1)2−1+2=1−2−1+2=0 So, (x−1) is the FACTOR of the given polynomial. Divide the given polynomial by (x−1) by long division. x−1x2−x−2x3−2x2−x+2x3−x2−−−−−− −x2−x −x2+x−−−−−−−−− −2x+2 −2x+2−−−−−−−−−−− 0−−−−−−−− It is known that, Dividend=Divisor×Quotient+Remainderx3−2x2−x+2=(x−1)(x2−x−2)+0=(x−1)(x2−2x+x−2)=(x−1)[x(x−2)+1(x−2)] Further simplify, x3−2x2−x+2=(x−1)(x+1)(x−2) (ii) Let the given polynomial be, p(y)=2y3+y2−2y−1 By trial method, p(1)=2(1)3+(1)2−2(1)−1=2+1−2−1=0 So, (y−1) is the factor of the given polynomial. Divide the given polynomial by (y−1) by long division. y−12y2+3y+12y3+y2−2y−12y3−2y2−−−−−−−− 3y2−2y 3y2−3y−−−−−−−−−− y−1 y−1−−−−−−−−−− 0−−−−−−−− It is known that, Dividend=Divisor×Quotient+Remainder2y3+y2−2y−1=(y−1)(2y2+3y+1)+0=(y−1)(2y2+2y+y+1)=(y−1)[2y(y+1)+1(y+1)] Further simplify, 2y3+y2−2y−1=(y−1)(y+1)(2y+1) |
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| 41. |
Divide (3-x + 2x²) by (2-x) and verify the division algorithm |
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Answer» 3x⁴+x³-x²+x+3 this is the CORRECT ANSWER and FOLLOW me and MAKE me as BRAINLIST |
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| 42. |
6. ABCD is a parallelogram. BX is the perpendicular on CD and BY is the perpendicular on AD. If the area ofthe parallelogram is 1500 cm?, find the lengths of BX and BY.50 cmАBYO30 cmDХсdil1 Appoihin19 |
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Answer» Answer: Given that : ABCD is a parallelogram. BX is the perpendicular on CD. BY is the perpendicular on AD. Area of Parallelogram is 1500 cm². AB = 50 cm DX = 30 cm. Solution : Area of Parallelogram = BASE × Height 1500 = AB × BX
1500 = 50 × z ( z is the height ) 1500 ÷ 50 = z ( on transposing ) Therefore z = 30 cm = BX... ________________________________ Now we have to find BY. To find BY We have to find the length of BC. To find the length of BC we have to find the length of AQ. Now ABXQ a rectangle. ( As all the angles are 90° )
Area of Rectangle = length × breadth
( length = 50cm. breadth = m. and the area is 1500cm² as the rectangle is lying on the same base of the parallelogram, so the area of Parallelogram is equal to the area of Rectangle. ) 1500 = 50 × m 1500 ÷ 50 = m Therefore m = 30 cm So AQ = BC = 30 cm ________________________________ Now we can find BY.. BCPY is a rectangle as all the sides are of 90° and PC = BY and BC = PY = n. Area of Rectangle = Length × Breadth. 1500 = n × 30
1500 ÷ 30 = n
50 = n Therefore BY = 50 cm ________________________________
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| 43. |
Find 4 rational numbers between 4 ans 5 |
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Answer» WELL 13/3 and 14/3 are both RATIONAL and are between 4 and 5. |
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| 45. |
Classify rational and irrational numbers from the given numbers below.22- 21.6713C219714.37125.....0.08213125Rational NumbersIrrational Numbers-21.6714.37.25...... |
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Answer» the QUESTION is not clear |
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| 46. |
If (2m-1,m) is thesolutions of the equation5x +4 y-13= 0 Find thevalue of m |
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Answer» => 5(2m-1) + 4(m) - 13 = 0 => 10m - 5 + 4M - 13 = 0 => 14m - 18 = 0 => 7M - 9 = 0 => m = 9/7 |
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| 47. |
Evaluate 3 |
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Answer» Answer: 6 Step-by-step EXPLANATION:
3 ×2 = 6 PLS MARK IT BRAINLIEST |
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| 48. |
Find two rational numbers between 2 and 3 |
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Answer» Step-by-step EXPLANATION: |
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| 49. |
Co-ordinate geometry chapter 10th class with proper explanation answer pls |
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Answer» 28 is the answer Step-by-step EXPLANATION: |
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