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InterviewSolution
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.
| 1351. |
What are the twenty formula\'s of polynomial |
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Answer» x + y)2 = x2 + 2xy + y2(x - y)2 = x2 - 2xy + y2Example 1: If x = 10, y = 5a(10 + 5a)2 = 102 + 2·10·5a + (5a)2 = 100 + 100a + 25a2 Example 2: if x = 10 and y is 4(10 - 4)2 = 102 - 2·10·4 + 42 = 100 - 80 + 16 = 36The opposite is also true:25 + 20a + 4a2 = 52 + 2·2·5 + (2a)2 = (5 + 2a)2Consequences of the above formulas:(-x + y)2 = (y - x)2 = y2 - 2xy + x2(-x - y)2 = (-(x + y))2 = (x + y)2 = x2 + 2xy + y2Formulas for 3rd degree:(x + y)3 = x3 + 3x2y + 3xy2 + y3(x - y)3 = x3 - 3x2y + 3xy2 - y3Example: (1 + a2)3 = 13 + 3.12.a2 + 3.1.(a2)2 + (a2)3 = 1 + 3a2 + 3a4 + a6(x + y + z)2 = x2 + y2 + z2 + 2xy + 2xz + 2yz(x - y - z)2 = x2 + y2 + z2 - 2xy - 2xz + 2yzFactor Rulesx2 - y2 = (x - y)(x + y)x2 + y2 = (x + y)2 - 2xyor x2 + y2 = (x - y)2 + 2xyExample: 9a2 - 25b2 = (3a)2 - (5b)2 = (3a - 5b)(3a + 5b)x3 - y3 = (x - y)(x2 + xy + y2)x3 + y3 = (x + y)(x2 - xy + y2)If n is a natural numberxn - yn = (x - y)(xn-1 + xn-2y +...+ yn-2x + yn-1)If n is even (n = 2k)xn + yn = (x + y)(xn-1 - xn-2y +...+ yn-2x - yn-1)If n is odd (n = 2k + 1)xn + yn = (x + y)(xn-1 - xn-2y +...- yn-2x + yn-1)More Algebraic Formulas2(a2 + b2) = (a + b)2 + (a - b)2(a + b)2 - (a - b)2 = 4ab(a - b)2 = (a + b)2 - 4aba4 + b4 = (a + b)(a - b)[(a + b)2 - 2ab] Really don\'t know i\'ll check on google wait Don\'t no Bcoz I don\'t know |
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| 1352. |
Find five irrational numbers 5 and 6 |
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Answer» 5,31/6,32/6,33/6,34/6,35/6,6 5.1,5.2,5.3,5.4,5.5 |
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| 1353. |
a+b+c=15 and a^2+b^2+c^2=83, find the value of a^3+b^3+c^3 -3abc |
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| 1354. |
two rational no between 6.0 and 6.5 |
| Answer» 6.1 and 6.3 | |
| 1355. |
Factorize 12(4x-1/4x)^2+5(4x-1/4x)-2 |
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| 1356. |
X =4y four equation |
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| 1357. |
Evaluate √(3-2-√2) |
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| 1358. |
Prove that 2+2=5 ? |
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| 1359. |
Find the decimal representation of 22/7 |
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Answer» 3.14 3.1412 3.14 3.14 |
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| 1360. |
Why y+y/2is not a polynomial |
| Answer» It has no power | |
| 1361. |
How can we draw root 9.5 on number by step by step |
| Answer» first sketch a line of any radiusthen draw the perpendicular bisectortaking o as a center draw the semicircleten on the right side draw a line after that cut an ark through that line | |
| 1362. |
Prove that sum of exterior Angeles of a triangle is 360 degree. |
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| 1363. |
Classify the following numbers as rational or irrational |
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Answer» Rational number. ----- it can be written in the form of p/q.Irrational number.-----it can\'t be written in the form of p/q. We can write rational number in the form of p by q but we can\'t write a rational number in the form of p by q and rational number always terminating but repeating also and irrational number is non terminating Where is the number???? Number to de |
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| 1364. |
0.5 or 0.05 |
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| 1365. |
euclid\'s fifth postulate |
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| 1366. |
x+1/x |
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Answer» Its answer is x+1/x not 1 1 |
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| 1367. |
Prove that root 2 is not a rational number |
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Answer» Root 2 is not a rational no. Because they in the form of p/q where q is not=to 0 Root 2 is not a rational no because rational no is always in the form of p/q where q is not = to 0 |
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| 1368. |
Represent the following rational number (1) Root 13 |
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| 1369. |
Rs aggarwal sixth edition complete solution please find... |
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| 1370. |
Rs |
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| 1371. |
(5)raised to x-3.(3)raised to2x-8=225 . Find the value of x |
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| 1372. |
What should we multiply x-1 so as to get x+1 ?? |
| Answer» X-1 | |
| 1373. |
Approximately |
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| 1374. |
0.3 |
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| 1375. |
If p (x)= 2xcube+ 5xsquare-3x-2 is divided byx-1 then find the remainder |
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Answer» p(x)=2xcube+5xsquare-3x-2Let, x-1=0 x=1put the value of x in given equation,we get,p(1)=2×(1)cube+5×(1)square-3×1-2 =2+5-3-2 =7-5 =2So,x-1 is not a factor of p(x). I think its 26 |
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| 1376. |
what is factor theoram |
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Answer» thank you By dividing any expression with x it should be zero then this is factor of that number and x can be any number like 1,-1,2,-2this is factor theorem |
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| 1377. |
Find the value of a if x-a is a factor of cubic x-axx add 2x add a |
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| 1378. |
If(3 +underroot 6)upon underroot3+underroot3= a+ b find a;b |
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| 1379. |
If x=2-underroot 3 find the value of (x-1/x)^3 the answer is -24underoot 3. |
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| 1380. |
In the (3-underroot7) rational as irrational |
| Answer» Irrational because any prime number under root is an irrational number | |
| 1381. |
X3 + (3 + 4x ) _ 7 x |
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| 1382. |
Define and difference between=1.ray,2 line,3line segment. |
| Answer» A ray is a line with an endpoint that extends infinitely in one direction. One of the most obvious examples is a sun\'s ray of light in space.In Geometry a line:• is straight (no bends),• has no thickness, and• extends in both directions without end (infinitely).line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. | |
| 1383. |
Under root 3 + under root 3 |
| Answer» 2 root 3 | |
| 1384. |
From where I can use the 9th class r.s agarwal questions |
| Answer» Calss 9 only u can buy it wil be alvaible easliy | |
| 1385. |
Find 5 irrational number between 3 and 4 |
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Answer» Irrational no are non terminating and non repeating so._______irrational no between 3and 4 r-3.42575..., 3.6350.....,3.010010001....,3.967554...,3.5376...... 3.1 ,3.2,3.3,3.4,3.5 |
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| 1386. |
Difference between Axioms and postulates |
| Answer» An axiom generally is true for any field in science, while a postulate can be specific on a particular field. It is impossible to prove from other axioms, while postulates are provable to axioms. | |
| 1387. |
32.5*450of26%+3-745.5 |
| Answer» answer | |
| 1388. |
32.5×450of26%+3-745.5 |
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| 1389. |
1 chapter |
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| 1390. |
Whether x+1/x is a polynomial, if not explain why |
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Answer» No Yes |
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| 1391. |
Explain RHS congruence criteria |
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| 1392. |
Find the distance between (-5,7)and(-1,3) |
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| 1393. |
What is evaluate in first chapter |
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| 1394. |
5×6 |
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Answer» 30 30 |
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| 1395. |
2x^2+3√5x+5 |
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| 1396. |
Write a rational numbers between 4 and 9/2 |
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Answer» 17/4 4.1,4.2,4.3,4.4,4.5 |
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| 1397. |
(3×8)(3×8)1÷2 |
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Answer» 1152 is correct answer 288 |
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| 1398. |
Show completely square root of .04 and square root of .4 |
| Answer» 0.2 | |
| 1399. |
the simplest rationalising factor of cube root of 500? |
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| 1400. |
Every rational number is a integer |
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Answer» No, bcoz 1/2 is a rational number but not an integer False |
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