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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.
| 3001. |
3.5/5655 |
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| 3002. |
A square + b square is equal to |
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Answer» a\'2+b\'2= (a+b)\'2 -2ab ab² |
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| 3003. |
What is the square root of root 5 |
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Answer» 2.23 5 25 |
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| 3004. |
Enterence exam paper |
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| 3005. |
How i represent underroot6 on number line |
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Answer» Then first make√2 and then√3 and then√4 √5 in last make√6 First draw a line after that make a perpendicular on this??? First locate root 4 i.e.2 on no. Line and then locate root 5 and at last locate root 6 |
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| 3006. |
If x+y+z=0 show that x3+y3+z3=3xyz |
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| 3007. |
Determine which of the following polynomials has (x+1) a factor :X power 3 - x power2- (2+√2) x + √2 |
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| 3008. |
Value of )-( (pie) |
| Answer» 22/7 | |
| 3009. |
Value of ) |
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| 3010. |
Locate -2,0 2,0 -1,2 and 1,2 on graph paper |
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| 3011. |
Find the measure of an angle which is 20degree more than its complement |
| Answer» 55° | |
| 3012. |
Factorize x8+1 |
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| 3013. |
Binary |
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| 3014. |
a+b+c=14,a²+b²+c²=68.find the value of a³+b³+c³ |
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| 3015. |
Simplify(3 |
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| 3016. |
X-3 is a factor of 4x cube +ax square -3x+2a-7 find a |
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| 3017. |
1/(9-8)=a+b=1\xa0\xa0 |
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| 3018. |
Factorise 8x + y + 27z + 16xy + 12yz + 4xz |
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| 3019. |
How to make long division meathod |
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| 3020. |
If x×x +1/x×x =7,find the value of x×x×x+1/x×x×x |
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| 3021. |
A a square + b square equal to |
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Answer» a square + 2ab + b square -2ab (a+b)(a-b) (a+b) (a+b) |
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| 3022. |
Which identity is suitable to solve (17)^3+(-12)^3+(-5)^3 |
| Answer» (a)^3 +(b)^3+(c)^3=......... | |
| 3023. |
Represent √17 on the number line |
| Answer» 17 | |
| 3024. |
10+4root5÷2 |
| Answer» 5+2√5 | |
| 3025. |
Simplify √(3+2√2) |
| Answer» 4.56 | |
| 3026. |
How can we justify root 9.3 |
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| 3027. |
Steps to put √5 on number line |
| Answer» Draw a number line from 2 draw a line of length (of distance between every number )at 90° joint the line from 0 to the point and then take a arc from 0 of distance of line 2 that will be root 5 | |
| 3028. |
Find supllement of 42 degree |
| Answer» 42+x=180 X=180-42=138 | |
| 3029. |
Write down if possible the largest whole number |
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Answer» It lands up to infinity Unimaginable There is no largest number |
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| 3030. |
How can we know the number is rational or irrational in form like9.9999999...... |
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Answer» Thus,33÷30=1.1Which is a rational number. In the form of p/qLet x=9.99999.….100x=99.99999...Now subtract both,100x-x=99x99.9999...-9.9999......=90.00000=99x÷90=X=33/30... |
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| 3031. |
State and prove remainder theorem and factor theorem |
| Answer» Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a).Proof : Let p(x) be any polynomial with degree greater than or equal to 1. Supposethat when p(x) is divided by x – a, the quotient is q(x) and the remainder is r(x),i.e.,p(x) = (x – a) q(x) + r(x)Since the degree of x – a is 1 and the degree of r(x) is less than the degree of x – a,the degree of r(x) = 0. This means that r(x) is a constant, say r.So, for every value of x, r(x) = r.Therefore, p(x) = (x – a) q(x) + rIn particular, if x = a, this equation gives usp(a) = (a-a) q(a) + r = rwhich proves the theorem.Factor Theorem: \xa0x – a is a factor of the polynomial p(x), if p(a) = 0. Also, if x – a is a factor of p(x), then p(a) = 0, where a is any real number. This is an extension to remainder theorem where remainder is 0, i.e. p(a) = 0.Numerical: Examine whether x + 2 is a factor of p(x)= x3 + 3x2 + 5x + 6Solution : The zero of x + 2 is –2. As, per factor theorem, x+2 is factor of p(x) if p(-2) = 0.\xa0p(–2) = (–2)3 + 3(–2)2 + 5(–2) + 6 = 0.Thus, x+2 is factor of p(x)= x3 + 3x2 + 5x + 6 | |
| 3032. |
Root2+root2 |
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Answer» 2√2 2root 2 2 2root2 |
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| 3033. |
How can we split middle terms ??? Explain with any one example ....??? |
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Answer» Thank u helped me a lot???? Multiply first and second term and take lcm and just search the number and multiply them and then split |
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| 3034. |
If a+b+c=5 and ab+bc+ac=10 then prove that a |
| Answer» ?? | |
| 3035. |
Use euclids division algorithm to find hcf of 210 and 55 |
| Answer» HCF of 210 and 55Using Euclid\'s division algorithm.210 = (55*3) + 4555 = (45*1) + 1045 = (10*4) + 510 = (5*2) + 0So, the remainder is 0 at the last stage, so HCF of 210 and 55 is 5.\xa0∴ 5 = (210*5) + 55y⇒ 5 = 1050 + 55y⇒ - 55y = 1050 - 5⇒ - 55y = 1045⇒ y = - 1045/55⇒ y = - 19Hence, the value of x is 5 and y is - 19Ok this is the right answer .....?????? | |
| 3036. |
What is mean by a point? |
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Answer» A point is that has no part. Dot |
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| 3037. |
If root 2 is equal to 1.414 then find 1 / root 2 + 1 |
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| 3038. |
Rd sharma is useful in class 9 |
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Answer» It is usefull but in rd sharma very questions are of bogger classes Apna phone no. Bata Yupzzz it is useful if u want to practise more |
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| 3039. |
Figures |
| Answer» figure kiski | |
| 3040. |
Date of franch revolution |
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Answer» ??? 14 July 1789 14 july 1789 |
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| 3041. |
Factorise.x3 |
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| 3042. |
What is Euclid \'s of five postulate |
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| 3043. |
What is linear pair of angles. Explain with a diagram |
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Answer» When 2 angleswhich are adjecent and make a straight line. Their sum is 180 When two angles are on one point on a straight line...their sum is 180 |
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| 3044. |
Square root of -1 |
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Answer» Its not a number Its an undefined no. |
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| 3045. |
Find 50 by 10 |
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Answer» 5 50 50 by 10 =50÷10=5 |
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| 3046. |
12ky^2+8ky_20k |
| Answer» 12ky^2+8ky_20k | |
| 3047. |
If an angle is 30 more than one half of its complement find the measure of the angle |
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Answer» Did ask do to 50 X+30=90X=90-30=50X=50 50 50 |
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| 3048. |
Herons ka formula |
| Answer» Root of s(s-a)(s-b)(s-c), where s=a+b+c/2(semiperimeter) | |
| 3049. |
On the graph 2x + 3y = 6 and 4x + 3y = 6 intersect in how many points |
| Answer» Cindy | |
| 3050. |
X+2*22/7 is equal to zero or not equate |
| Answer» Gf tzggs | |