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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 6451. |
(a - b)³ + (b - c )³ + (c -a ) is equal to ????Solve it |
| Answer» (a-b)^3+(b-c)^3+(c-a)=a^3-b^3+b^3+c^3+c-aSo, a^3-c^3+c-a=a^3-a-c^3-c=0 | |
| 6452. |
what is a linear polynomial |
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Answer» Whose degree is 1. In any expression the degree of a number is 1 than it is a linear polynomial Polynomials\xa0= Poly (means many) + nomials (means terms). Thus, a polynomial contains many termsThus, a type of algebraic expression with many terms having variables and coefficients is called polynomial. |
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| 6453. |
If (√3-1/√3+1)=x+y√3 find the value of x and y. |
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| 6454. |
Find the value of 6/√5-√3 it being given that √3=1.732 and √5=2.236. |
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| 6455. |
What is the value of Y if X=12 |
| Answer» 24 | |
| 6456. |
Find four rational number between (3:5) and (2:3) |
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Answer» As the denominators of both rational numbers are different, so first we have to make the denominators same by finding their LCM.The LCM of 5 and 3 is 15.3/5*3/3=9/152/3*5/5=10/15Now if you want you can make the numbers bigger by multiplying them.I am multiplying both the numbers with 10.9/15*10/10=90/15010/15*10/10=100/150So five rational numbers between 90/150 and 100/150 are91/150, 93/150, 95/150, 97/150 and 99/150 Nonepo |
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| 6457. |
Identify the following as rational number or irrational numbera. 3√18√9/27 |
| Answer» a.3\xa0√18We have,3\xa0× √18= 3 × √2 × 3 × 3= 9×√2Since, the product of a ratios and an irrational is an irrational number. 9\xa0×√2 is an irrational.3 ×√18 is an irrational number.(b)\xa0√(9/27)\xa0We have,√(9/27)=3/√27=\xa01/√3Quotient of a rational and an irrational number is irrational numbers so1/√3\xa0is an irrational number.√(9/27)\xa0is an irrational number. | |
| 6458. |
5/4 divided by7/2 |
| Answer» 14/5 | |
| 6459. |
Answer puchna h |
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| 6460. |
show that 2x-1 is a factor of 2x^2- 2x^2+ 6 |
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| 6461. |
Root 11 in line segment |
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| 6462. |
Kitni der padte hoo |
| Answer» 5Minute... | |
| 6463. |
(5+√7) (2+√5) |
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Answer» (5+√7) (2+√5)= 5(2 +\xa0√5) +\xa0√7(2+\xa0√5)= 10 + 5√5 + 2√7 +\xa0√35 10+5√5+2√7+√35 |
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| 6464. |
=} (Hypotenuse)^2 = (Base)^2 + (Height)^2 *_ OR_*(AC)^2 = (AB)^2 + (BC)^2 |
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| 6465. |
Who is pythogoras |
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Answer» I don\'t know The Pythagoreans were led by a man named Pythagoras, a mathematician, scientist, and mystic of ancient Greece. Pythagoras is responsible for several notable scientific and philosophical discoveries, but he is most famous for the Pythagorean Theorem in math. His life was very much a mystery, but his teachings shaped the ancient world. |
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| 6466. |
How does π is rational and 22/7 is irrational |
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Answer» Bhai ki fix value Nahin hai 22/7. So, is irrational ◆ As you know that π is a irrational number as it\'s decimal expension is non- terminating & Non- repeating.◆ But these statements are actually true because we have assumed the APPROPRIATE value of π as 22/7 to make calculation easier.◆ If you divide 22/7 then it\'s decimal expension will come 3.14... which as approximately value equal to π.\xa0 |
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| 6467. |
1/2×25-1/2(25 3/2-25 1/2) |
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| 6468. |
Explain Closure property |
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Answer» For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example:\t(7/6)+(2/5) = 47/30\t(5/6) – (1/3) = 1/2\t(2/5). (3/7) = 6/35 Hii |
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| 6469. |
I want test paper for practice |
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Answer» Buy subscribtion then! Me too |
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| 6470. |
Is √2/3 is an irrational number or a rational number? |
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Answer» Irrational Irrational Irrational number Irrational no.because it is the quotient of a rational and irrational Irrational no. |
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| 6471. |
Lines pq and RS intersect each other at point Oif POR:RoQ=5:7find all the angles |
| Answer» POR = 75ROQ = 105QOS = 75SOP = 105 | |
| 6472. |
Show √8 on number line |
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| 6473. |
If x=3+8 |
| Answer» 11 | |
| 6474. |
(2x+1)powers to 3 |
| Answer» \xa0(a + b)3 = a3 + b3 + 3a2b + 3ab2\xa0(2x + 1)3 = (2x)3 + (1)3 + 3(2x)2(1) + 3(2x)(1)2= 8x3 + 1 +3 (4x2) + 6x= 8x3 + 1 +12x2\xa0+ 6x | |
| 6475. |
5+2x |
| Answer» x= -5/2 | |
| 6476. |
Divide 4x^4-3x^3+7x^2-12x+5 by (x+3) and check the result using remainder theorem |
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| 6477. |
Express the following in the form p÷q , where p and q are integers and q is not equal to zero |
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| 6478. |
Find an irrational number between 3/5 and 2/3 |
| Answer» (irrational numbers - non terminating numbers/ a fraction/ratio that cannot be simplified)2/5 and 3/4 to be converted into like fractions or into decimals which is way easier2/5 =>0.43/4 =>0.75irrational numbers>0.437860746504875654678957....>0.5656784767...>0.64127984999235537930...hope so this will help u ☺Read more on Brainly.in - https://brainly.in/question/8742741#readmore | |
| 6479. |
Define factor theorem and reminder theorem |
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Answer» In mathematics,\xa0factor theorem\xa0is used as a linking factor and zeros of the polynomial.If f(x) is a polynomial of degree\xa0n ≥ 1\xa0and ‘a’ is any real number, then\t(x-a) is a factor of f(x), if f(a)=0\tIts converse “ if (x-a) is a factor of the polynomial f(x), then f(a)=0”Factor theorem is commonly used for factoring a polynomial and finding the roots of the\xa0polynomial equation. It is a special case of a polynomial remainder theorem. Bawas question h ye to |
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| 6480. |
If 3x+64=26+(√3)8 then the value of x |
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Answer» Chapter 7 Exercise 7.1Q 4 →3^x+64=2^6+√3^8→3^x+64=64+(√3²)⁴→3^x=64-64+3⁴→3^x=3⁴•Bases are equal. Exponents must be equal.x=4 |
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| 6481. |
Insert three rational numbers between -1/3 and -2/3 |
| Answer» -5/12,-6/12 and -7/12 | |
| 6482. |
(27)-⅔ |
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Answer» (27)-⅔ = (3)³*-⅔ = (3)-² = 1/(3)² = 1/9✓✓ 1/9 is answer 1/9 |
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| 6483. |
(3x+4y+3z)2 square Find expansion |
| Answer» 9(x)square +16(y)square +24(xy+yz)+18zx | |
| 6484. |
Home work |
| Answer» Which homework you are asking for??? | |
| 6485. |
represent root 7.3 on number line |
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| 6486. |
Construct three equal of the following solutions ( a)y=-1 (b)x=5 (c)z=0 |
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| 6487. |
Find the volume of the cuboid whose sides are zeroes of polynomial x square- 6xsquare +11x-6 |
| Answer» The equation is x³ - 6x² + 11x - 6Putting x =1(1)^3 -6(1)^2+11(1)-6=0one root is (x-1)divide whole eqn by (x-1)(x-1) | x^3 -6x^2 + 11x -6 | X^2 -5x +6x^3 -x^2=======-5x^2 +11x-6-5x^2+5x========6x-66x-6=====0so eqn is x^2-5x+6=0x^2-2x-3x+6=0(x-2)(x-3)=0so the roots are 1 ,2,3 | |
| 6488. |
What is euclid geomatry and the 7 aximos? |
| Answer» Euclid\xa0was known as the “Father of\xa0Geometry.” In his book, The Elements,\xa0Euclid\xa0begins by stating his assumptions to help determine the method of solving a problem. These assumptions were known as the five\xa0axioms. An\xa0axiom\xa0is a statement that is accepted without proof.\xa0Euclid\'s postulates\xa0were :\xa0Postulate\xa01 : A straight line may be drawn from any one point to any other point.\xa0Postulate\xa02 :A terminated line can be produced indefinitely.\xa0Postulate\xa03 : A circle can be drawn with any centre and any radius.\xa0Postulate\xa04 : All right angles are equal to one another. | |
| 6489. |
Verify whether x = -2 is root of polynomial x² + 10x -10 |
| Answer» x² + 10x -10= (-2)2 + 10 (-2) - 10= 4 - 20 - 10= 4 - 30= - 26Hence\xa0x = -2 is not root of polynomial x² + 10x -10 | |
| 6490. |
Find the value of x to the power 4 and multiply 2 ki power 5 is equal to 2 ki power 3 (x |
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| 6491. |
7. Evaluate:238+ 237+ 236239+ 238+ 237 |
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| 6492. |
If x = 1- 2 , find the value of ( x - 1x)² |
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Answer» ={1-2-1(1-2)}²={-2(1-2)}²=(-2+4)²=4+(-16)+16=4Therefore, the solution to this question is 4 x=1-2x=-1(x-1x)^2((-1)-1(-x))^2(-1+1)^2(0)^2Answer : 0 |
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| 6493. |
Find the value of a and b if 3+2√2/3-√3=a+b√2 |
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| 6494. |
Find the value of a and b if 3+2√2/3-√2=a+b√2 |
| Answer» Find the value of a and b if 3+2√2/3-√2=a+b√2 | |
| 6495. |
If a + b + c = 15 and a² + b² + c² = 83, find the value of a³ + b³ + c³ – 3abc. |
| Answer» a² + b² + c² = 83 ------(1)a + b+ c = 15On squaring both sides, we geta² + b² + c² + 2( ab + bc + ca) = 225=> 83 + 2 ( ab + bc + ca) = 225=> 2 ( ab + bc + ca) = 142=> ab + bc + ca = 71 --------(2)Now,a³ + b³ + c³- 3abc = ( a +b + c) (a² + b² + c² - ab - bc - ca)= ( 15) [ 83 - (ab + bc + ca)]= (15)(83-71)= 15 × 12= 180\xa0 | |
| 6496. |
How we can find underroots |
| Answer» To find a\xa0square root\xa0of a number\xa0without\xa0a\xa0calculator, see if you can get to that whole number by squaring smaller numbers, or multiplying a smaller number by itself. If the number is a perfect\xa0square, you will get a whole number as the\xa0square root.\xa0First, divide the number you\'re trying to\xa0find\xa0the\xa0square root\xa0of by the average. Then,\xa0find\xa0the average of that number and the original average by adding them together and dividing by 2. For example, first you would divide 7, the number you started with, by 2.16, the average you calculated, and get 3.24. | |
| 6497. |
Use euclid division algorithm to find the HCF of 562 and 22 |
| Answer» Class 10th | |
| 6498. |
Find zeroes of polynomial 2x-23y-2X-3 |
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| 6499. |
Simplify 2 root of 50 ×3 root of 32 × 4 root of 18 |
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| 6500. |
Divide 4x⁴-3x³+7x²-12+5 by (x+3) and check the result using remainder theorem |
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