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. |
If |
Answer»
Step-by-step explanation: Given
To FIND:-
Solution:-We know that, Sum of all interior angles of triangle is 180°. This PROPERTY is also KNOWN as'Angle sum property of TRIANGLE'. So, ➞ ∠A + ∠ABD + ∠ADB = 180° ➞ ∠A + 70° + 30° = 180° ➞ ∠A + 100° = 180° ➞ ∠A = 180° - 100° ➞ ∠A = 80°
We also know that, Sum of any two opposite angles of any cyclic quadrilateral is 180°. So, ➞ ∠A + ∠BCD = 180° ➞ 80° + ∠BCD = 180° ➞ ∠BCD = 180° - 80° ➞ ∠BCD = 100°. Therefore, ∠BCD is of 100°. |
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| 2. |
Find the smallest number by which each of the following numbersmust be multiplied to obtain a perfect cube.a. 2808b. 1323c. 128625d. 13720e. 68600 |
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Answer» Answer: e) 68600 is not a perfect cube. To make it a perfect cube we multiply it by 5. Thus, 68600 × 5 = 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 = 343000, which is a perfect cube. Observe that 343 is a perfect cube. b) In order for 1323 to BECOME a perfect cube, we NEED to multiply it by 7. This will give US 9261 and the cube root will be 21. On dividing 1323 by 3 and 7 we get 3 X 3 x 3 x 7 x 7. |
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| 3. |
The temperature rises by 18°F. What is the riseon the Celsius scale ? |
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Answer» OPEN the above attachment.. Step-by-step explanation: MARK me as BRAINLIEAST PLEASE.. |
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| 4. |
Puzzle test4girls : Katina Katrina Deepika Jennifer4 courses : MCA MBA BCA BBA4 books : GK QM EE AR every girl is enrolled only for one course every girl can use 3 books Deepika is not preparing for BCA or mba Katrina who is not preparing for BCA use QM and EE the girl who is preparing for MBA uses EE and AR but the girl who is preparing for MCA uses only one of these books |
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| 5. |
The distance covered by a wheel of radius 14cm in one Revolution is |
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Answer» Step-by-step explanation: 1000100mts the DISTANCE travelled is. Description for CORRECT ANSWER: RADIUS of the wheel = 14 cm. = 2×227×14=1000100mts. |
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| 6. |
5. Find the area of a triangular field whose sides are 91 m, 98 m and 105 min length. Find the height corresponding to the longest side. |
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Answer» Given: Sides of triangular field are 91 m, 98 m and 105 m. To find: The height CORRESPONDING to the longest side? ⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀ ⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀ ⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀ ☯ Let's Consider H as the height corresponding to the longest side. ⠀⠀⠀⠀ Here,
⠀⠀⠀⠀ |
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| 7. |
0,15of the system of the equationsthe equations & -ky-7=2Kx-y-1=0, xty-z=0 has a non-zerosolution, then the possible values of kare?a 1,2, cod, |
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| 8. |
Pls answer it guys it’s 3 mark question |
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Answer» -1a^4/10 Step-by-step EXPLANATION: |
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| 10. |
Pls help me for this question |
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Answer» Step-by-step EXPLANATION: Profit in 2017 = 10,000 Profit in 2018 = 10000 + 40%of 10000 = 10000+ 4000 Profit in 2019 =14000+ 40%of 14000 = 14000+5600 =19600 Answer= 19600 UNITS..
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| 11. |
You have given a function λ : R → R with the following properties (x ∈ R, n ∈ N): λ(n) = 0 , λ(x + 1) = λ(x) , λ .n + 1Σ = 1 Find two functions p, q : R → R with q(x) ƒ= 0 for all x such that λ(x) = q(x)(p(x) + 1). |
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Answer» Step-by-step explanation: The gamma distribution is ANOTHER WIDELY used distribution. Its importance is largely due to its relation to exponential and normal distributions. Here, we will provide an INTRODUCTION to the gamma distribution. In Chapters 6 and 11, we will discuss more properties of the gamma random variables. Before introducing the gamma random variable, we need to introduce the gamma function. The gamma distribution is another widely used distribution. Its importance is largely due to its relation to exponential and normal distributions. Here, we will provide an introduction to the gamma distribution. In Chapters 6 and 11, we will discuss more properties of the gamma random variables. Before introducing the gamma random variable, we need to introduce the gamma function.Gamma function: The gamma function [10], shown by Γ(x), is an extension of the factorial function to real (and complex) numbers. Specifically, if n∈{1,2,3,...}, then The gamma distribution is another widely used distribution. Its importance is largely due to its relation to exponential and normal distributions. Here, we will provide an introduction to the gamma distribution. In Chapters 6 and 11, we will discuss more properties of the gamma random variables. Before introducing the gamma random variable, we need to introduce the gamma function.Gamma function: The gamma function [10], shown by Γ(x), is an extension of the factorial function to real (and complex) numbers. Specifically, if n∈{1,2,3,...}, thenΓ(n)=(n−1)! The gamma distribution is another widely used distribution. Its importance is largely due to its relation to exponential and normal distributions. Here, we will provide an introduction to the gamma distribution. In Chapters 6 and 11, we will discuss more properties of the gamma random variables. Before introducing the gamma random variable, we need to introduce the gamma function.Gamma function: The gamma function [10], shown by Γ(x), is an extension of the factorial function to real (and complex) numbers. Specifically, if n∈{1,2,3,...}, thenΓ(n)=(n−1)!More generally, for any positive real number α, Γ(α) is defined as The gamma distribution is another widely used distribution. Its importance is largely due to its relation to exponential and normal distributions. Here, we will provide an introduction to the gamma distribution. In Chapters 6 and 11, we will discuss more properties of the gamma random variables. Before introducing the gamma random variable, we need to introduce the gamma function.Gamma function: The gamma function [10], shown by Γ(x), is an extension of the factorial function to real (and complex) numbers. Specifically, if n∈{1,2,3,...}, thenΓ(n)=(n−1)!More generally, for any positive real number α, Γ(α) is defined asΓ(α)=∫∞0xα−1e−xdx,for α>0. The gamma distribution is another widely used distribution. Its importance is largely due to its relation to exponential and normal distributions. Here, we will provide an introduction to the gamma distribution. In Chapters 6 and 11, we will discuss more properties of the gamma random variables. Before introducing the gamma random variable, we need to introduce the gamma function.Gamma function: The gamma function [10], shown by Γ(x), is an extension of the factorial function to real (and complex) numbers. Specifically, if n∈{1,2,3,...}, thenΓ(n)=(n−1)!More generally, for any positive real number α, Γ(α) is defined asΓ(α)=∫∞0xα−1e−xdx,for α>0.Figure 4.9 shows the gamma function for |
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| 12. |
Divide 9x^2-30xy+25y^2 by 3x-5y |
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Answer» Answer: 3X-5Y Step-by-step EXPLANATION: (3X-5Y)*(3X-5Y)/(3X-5Y)= (3X-5Y) PLEASE MARK AS BRAINLIEST |
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| 13. |
4√625 it is a surd or not |
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Answer» It's 100 Step-by-step EXPLANATION: |
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| 15. |
Please do and give this one sum send the photo |
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Answer» Answer: 7+57/11 (77+57) /77 134/77 hope it HELPS you |
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| 16. |
F sin2x/1+sin²x dx equals: |
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Answer» Step-by-step EXPLANATION: REFER TO THE ATTACHMENT PLEASE |
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| 17. |
For the reaction : 2NH4NO, 2N2 + O2 +H2O. What weight of N2 could be formed by the decomposition of 16 gr of NH4NO3 IS |
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Answer» Answer: The gamma distribution is another widely used distribution. Its importance is LARGELY due to its relation to exponential and normal distributions. Here, we will provide an introduction to the gamma distribution. In Chapters 6 and 11, we will discuss more PROPERTIES of the gamma random variables. Before introducing the gamma random variable, we need to introduce the gamma function. Gamma function: The gamma function [10], shown by Γ(x), is an extension of the factorial function to real (and complex) numbers. Specifically, if n∈{1,2,3,...}, then Γ(n)=(n−1)! More generally, for any POSITIVE real number α, Γ(α) is DEFINED as Γ(α)=∫∞0xα−1e−xdx,for α>0. Figure 4.9 shows the gamma function for positive real values. Figure 4.9: The Gamma function for some real values of α. Note that for α=1, we can write Γ(1)=∫∞0e−xdx=1. Using the change of variable x=λy, we can show the following equation that is often useful when working with the gamma distribution: Γ(α)=λα∫∞0yα−1e−λydyfor α,λ>0. Also, using integration by parts it can be shown that Γ(α+1)=αΓ(α),for α>0. Note that if α=n, where n is a positive integer, the above equation reduces to n!=n⋅(n−1)! Properties of the gamma function For any positive real number α: Γ(α)=∫∞0xα−1e−xdx; ∫∞0xα−1e−λxdx=Γ(α)λα,for λ>0; Γ(α+1)=αΓ(α); Γ(n)=(n−1)!, for n=1,2,3,⋯; Γ(12)=π−−√. |
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| 19. |
Which of the following sets are empty set .(1) x:x²-3=0and x is a rational.(2) x:x is an even prime numbers |
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Answer» Answer: THE DAY, PLSSS HELP. :c) The amount of money in an account may increase due to rising STOCK prices and decrease due to falling stock prices. Mason is studying the change in the amount of money in TWO accounts, A and B, over time. The amount f(X), in dollars, in account A after x years is represented by the function below: f(x) = 10,125(1.83)x Part A: Is the amount of money in account A INCREASING or decreasing |
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| 20. |
GiveN FIGURE GONS ISPARALLELOGRAM . FIND X and y.(LENGTHS ARE IN CM)S26N18Ол G3y-1 |
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| 21. |
3. Find the difference when minuend = 8961 and subtrahend = 2576 |
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Answer» We will learn about the meaning of minuend and SUBTRAHEND. The LARGER NUMBER from which smaller number is subtracted is called the minuend. The smaller number which is subtracted is called subtrahend. 8961 → Minuend -2576 → Subtrahend 6385 → DIFFERENCE The resulting number is called the difference |
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| 22. |
If cos A = 4/5, then the value of tan A is (A) 3/5(B) 3/4(C) 4/3(D) 5/3 |
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| 23. |
Add 15.1,12.03and7.209 |
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Answer» Answer: 34.339 Step-by-step EXPLANATION: |
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| 24. |
प्रगतीच्या 2 वर्षापूर्वीच्या आणि 3 वर्षणांतरच्या वयांचा गुणाकार 84 आहे तर तिचे आजचे वय काढा. |
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Answer» dobdj...................... |
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| 25. |
If A(1,3) B(3,0) and C(0,K) are collinear, find K |
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Answer» Step-by-step explanation: ANSWER Points A(2,3),B(4,k) and C(6,−3) are collinear. Area of TRIANGLE having vertices A, B and C=0 Area of a triangle = 2 1
[x 1
(y 2
−y 3
)+x 2
(y 3
−y 1
)+x 3
(y 1
−y 2
)] Area of given ΔABC=0 ⇒ 2 1
[2(k−(−3))+4(−3−3)+6(3−k))]=0 ⇒2k+6−24+18−6k=0 ⇒−4k=0 or k=0 The value of k is ZERO. |
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| 26. |
.......... of a parallelogram bisect each other. |
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Answer» Answer: DiagonalsHope this helps you Do MARK as brainliest ✌️ |
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| 27. |
A= -2 3 12 4 0 2-5 3 B= 1 3 -2 0 4 -2 3 1 -5Find AB |
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Answer» do you means find( A N B )if yes the FOLLOWING is the correct ANS |
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| 28. |
Write the polynomial whose zeros are √3,-√3with explanation.correct answer=marked as BRAINLIEST |
Answer» To FIND :-
Solution :-Given,
[ First find out sum of roots ]
.°. α + β = 0 [ Now, find out product of roots ]
.°. αβ = -3 As we know that, Quadratic polynomial ; ↪ x² - (α + β)X + αβ [ PUT the values ]
Therefore,The required quadratic polynomial is x² - 3. |
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| 29. |
is it possible to construct a quadrilateral abcd with two sides AB and AD and angle B and and angle C are known.then thegiven statement is- (a) True (b) false( c) always true if angle A is known (d) may be true if angle A is knnown....choose the correct option |
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Answer» Step-by-step EXPLANATION: znzzjhsuwbw UHHS bhshssis hushsshis |
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| 30. |
Please answer. ......... |
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Answer» Answer: 3,) true 4,). 2 hope it HELP you |
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| 31. |
2 The base of a triangular field is three times its altitude. If the cost ofsowing the field at Rs 58 per hectare is Rs 783, find its base and height |
Answer» Given :-The base of a triangular field = 3 × ALTITUDE The cost of sowing the field at Rs. 58 PER hectare = Rs. 783 To FIND :-The base of the triangular field. The height of the triangular field. Solution :-We know that,
According to the question, Area of triangular field = Cost of sewing field/ Rate of sowing Substituting their values, = 783/58 = 13.5 hectare By converting, 1 hectare = 10000 m² 13.5 hectare = 135000 m² Therefore, Area of triangular field = 135000 m² Let altitude of triangular field be 'x'. By the formula, Substituting their values, 3/2 x² × 58/10000 = 783 x² = 783/58 × 2/3 × 10000 x = √90000 x = 300 Height = 300 Base = 3x = 300 × 3 = 900 Therefore, the base and the height are 900 m and 300 m respectively. |
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| 32. |
Find the value of p for which of the equationx2-(P+2) x+4=0 has equal roots. |
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Answer» −4ac=0 ⇒(p+2) 2 −(4×1×4)=0 ⇒[p 2 +2 2 +(2×p×2)]−16=0(∵(a+b) 2 =a 2 +b 2 +2AB) ⇒p 2 +4+4p−16=0 ⇒p 2 +4p−12=0 ⇒p 2 +6p−2p−12=0 ⇒p(p+6)−2(p+6)=0 ⇒(p−2)(p+6)=0 ⇒p−2=0,p+6=0 ⇒p=2,p=−6 Hence, p=2,−6. |
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| 33. |
Please tell me correct answer step by step explain please |
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Answer» Here is the answer UNDERSTAND it CAREFULLY |
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| 34. |
Which of the following is the value of 5x²⁵ - 3x³²+2x‐¹²at x=1 |
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Answer» |
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| 35. |
. Three numbers are in ratio 4:5:6. If the sum of the largest and the smallest equals the sum ofthird and 55. find the numbers |
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Answer» let THREE numbers be 4x,5x,6x according to QUESTION we can WRITE it as 6x+4x=5x+55 on rearranging we can write it as 10x-5x=55 5x=55 x=55/5 x=11 4x=4×11=44 5x=5×11=55 6x=6×11=66 the required numbers are 44,55,66 pls mark my ANSWER as BRAINLIEST answer
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| 36. |
Find the greatest common divisor of the term 144x3y2 and 81xy4 |
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Answer» Answer: 56485322454346647947849 |
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| 37. |
3. If the selling price of 50 article is equal to the cost price of 40 articles, then the loss of gain percentis3.25% loss2. 20 % gain4.25 % gain1. 20% loss |
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Answer» Answer: Step-by-step EXPLANATION: Let C.P of one article =1 Rs. Then C.P of 40 article=40 Rs. According to the question S.P of 50 article =C.P of 40 article=40 Rs. We assume that C.P of one article =1Rs. then C.P of 50 article=50 Rs. Loss=50-40=10 Rs. What I hope : Hope it helps. |
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| 38. |
HCF of two numbers is 4 and the other two factors of LCM are 5 and 7. Find the smallest number of these: |
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| 39. |
If A=(0 2 3)2 1 4 B=(7 6 3) 1 4 5find 1)5B-3A 2)2A+4B |
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Answer» past make me as BRAIN list I will send the answer |
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| 40. |
A family has 4 members.the sum of father and son is 50 years.the ratio of the Father and daughter 6years back is 16:5.the ratio of the mother and daughter 4years later is 9:5.find present age mother.if the daughter is 4years elder to the brother |
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Answer» Step-by-step explanation: so let father's age = x son's age = y and x+y = 50 y= 50-x now DAUGHTER is 4 years elder than son = 50-x +4 = 54 - x now father and daughter ratio 6yrs back = x-6 = 16 54-x-6 5 5x-30 = 768-16x 21x = 798 x = 38 so age of son = 50 -38 = 12 and daughter's age 12 + 4 = 16 now let mother's age be = y so ratio of mom to daughter age 4 years hence = y+4 = 9 16+4 5 5(y+4) = 9×20 5y +20 = 180 5y = 160 y = 32 answer . |
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| 41. |
If two angles are equal and supplement to each other, thwn then they are.....? |
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Answer» If TWO ANGLES are EQUAL and SUPPLEMENT to each other , then they are RIGHT angles [ 90° angles ] . |
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| 42. |
Pls answer them or any of them |
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Answer» Step-by-step EXPLANATION: |
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| 43. |
Most of the Indians feel that laughing is the best medicine. add question tag |
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Answer» Answer: Most of the Indians feel that laughing is the BEST MEDICINE,don't they? |
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| 44. |
Find the missing entries if x,y are |
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Answer» x-12,_,3 y-3,6,_
=x*6=12*3 x= 12*3/6 x= 6 =y*3= 6*6 y=6*6/3 y= 12 I HOPE IT'S HELP YOU MARK ME BRAINLIST |
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| 45. |
3,4,5=50 6,8,10=200 10,11,? |
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Answer» Step-by-step EXPLANATION: i really GOT the answer |
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| 46. |
5. The determinant of a skewsymmetric matrix of odd order isOOO 1O-1O None of these |
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Answer» Answer: Step-by-step EXPLANATION: TRANSPOSE of A = -A |transpose of A| = |-A| |A|+|A| = 0 2|A| = 0 |A| = 0 |
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| 47. |
Findndthe value ofdelekninant175-- |
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Answer» Answer: Sorry the question should be wirten in a PROPER WAY. Step-by-step explanation: PLZZ mark this as the BRAINLIEST answer |
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| 48. |
What is binomial give examples |
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Answer» Step-by-step explanation: BINOMIAL is defined as a MATH TERM meaning two expressions CONNECTED by a plus or minus SIGN. An example of a binomial is x – y. |
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| 49. |
R(-3,5) and T(4, -2) are points of a line segment RT find coordinate of point B which divides RT in the ratio 3:4 |
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Answer» Answer: Hey sissy! Step-by-step EXPLANATION: I am doing good How r u? Of COURSE I cannot forget you!! YUP it's been a vry LONG TIME How r ur studies going? Keep smiling Purple you |
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| 50. |
In ∆ ABC angle B=90° , angle A=45° ,AB=5cm ,Ac=? |
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Answer» Step-by-step EXPLANATION: In Triangle ABC, ∠B = 90° , ∠A = 45° -----> given therefore ∠C = 45° ------> ( remaining angle of a triangle ) Therefore triangle ABC is a 45°-45°-90° triangle therefore by 45°-45°-90° triangle theorem , side OPPOSITE to 45° = 1/√2 * HYPOTENUSE AB = 1 / √2 * AC 5 = 1 / √2 * AC 5 * √2 = AC Therefore AC = 5√2 CM |
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