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10001.

What is division algorithm for polynomials

Answer» In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version of the familiar arithmetic technique called long division. It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones.
10002.

Find a quadratic polynomial whose sum of zeros and product of zeros are -3 and 4

Answer» X²-3x+4
x^2+3x+4
10003.

Prove that root 8 is irrational number

Answer» suppose √8 = a/b with integers a, band gcd(a,b) = 1 (meaning the ratio is simplified)then 8 = a²/b²and 8b² = a²this implies 8 divides a² which also means 8 divides a.so there exists a p within the integers such that:a = 8pand thus,√8 = 8p/bwhich implies8 = 64p²/b²which is:1/8 = p²/b²or:b²/p² = 8which impliesb² = 8p²which implies 8 divides b² which means 8 divides b.8 divides a, and 8 divides b, which is a contradiction because gcd (a, b) = 1therefore, the square root of 8 is irrational.
10004.

The HCF and LCM of two numbers 9 and 459 respectively. If one number is 27 .then find the other

Answer» second\xa0number\xa0=\xa0153Explanation:Let\xa0first\xa0number\xa0=\xa0a,second\xa0number\xa0=\xa0ba\xa0=\xa027\xa0( given )HCF(a,b)\xa0=\xa09andLCM\xa0(a,b)\xa0=\xa0459To\xa0find:Value of bsolution:We know that,$\\implies b = \\frac{9\\times 459}{27}$After cancellation, we get$\\implies b = 153$Therefore,second\xa0number\xa0=\xa0b\xa0=\xa0153
The other number is 153.
Lesson 15 exercise 15.1
10005.

What is the meaning of Ap

Answer» a sequence of numbers in which each differs from the preceding one by a constant quantity (e.g. 1, 2, 3, 4, etc.; 9, 7, 5, 3, etc.).
An Arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. ... The sum of a finite arithmetic progression is called an arithmetic series.
10006.

What is different between sum of zero and product of zero

Answer» In\xa0any quadratic polynomial: The\xa0sum\xa0of the zeroes is equal to the negative of the coefficient of x by the coefficient of x2. The\xa0product\xa0of the zeroes is equal to the constant term by the coefficient of x2
10007.

If A,B,C are interior angles of ΔABC, show that : tan² ( B+C/2\u200b ) = Cosec² (A/2-1)

Answer»
10008.

Roor p - Root q= 20 find the maximum value of (p=5q)/20

Answer»
10009.

Root 3 minus root cube is equals to hundred find the maximum value of P - 5q/.20

Answer»
10010.

Find the zero of the polynomial of 7/3x + 4

Answer»
10011.

Root 2,root 8,root 18,root 32,....

Answer» root 50, root 72
10012.

Is x^2 -9/16x+1/16 same as 16x^2-9x+1 ??

Answer» S
10013.

Express the trigonometric ratios sinA , secA ,and tan A in terms of cot A

Answer» SinA= cotA/cosA.SecA= cot A×SineATan A =1/cotA
To convert the given trigonometric ratios in terms of cot functions, use trigonometric formulasWe know that,cosec2A – cot2A = 1cosec2A = 1 + cot2ASince cosec function is the inverse of sin function, it is written as1/sin2A = 1 + cot2ANow, rearrange the terms, it becomessin2A = 1/(1+cot2A)Now, take square roots on both sides, we getsin A = ±1/(√(1+cot2A)The above equation defines the sin function in terms of cot functionNow, to express sec function in terms of cot function, use this formulasin2A = 1/ (1+cot2A)Now, represent the sin function as cos function1 – cos2A = 1/ (1+cot2A)Rearrange the terms,cos2A = 1 – 1/(1+cot2A)⇒cos2A = (1-1+cot2A)/(1+cot2A)Since sec function is the inverse of cos function,⇒ 1/sec2A = cot2A/(1+cot2A)Take the reciprocal and square roots on both sides, we get⇒ sec A = ±√ (1+cot2A)/cotANow, to express tan function in terms of cot functiontan A = sin A/cos A and cot A = cos A/sin ASince cot function is the inverse of tan function, it is rewritten astan A = 1/cot A
10014.

2x+3y+5=03x+2y-12=0

Answer» 2x+3y=-5 (1)3x-2y=12 (2)Add eq 1 and 2 we get5x+1y=7 (3)NowSubtract 1 from 2,we getX-5y =17 (4)Multiply 3 by 5 we get,25x+5y=35 (5)Now ,Add 4 and 5 we get,26x=52X=2now ,Substitute x=2 in eq35x+1y=75×2+1y=710+y=7y=7-10y=-3(x,y)=(2,-3)
Thanks
https://doubtnut.app.link/krNEmWdGxhb
10015.

Please send rd Sharma Pdf of class 10 chapter 2 and 3.

Answer» https://drive.google.com/file/d/12Dazkzy3UKpbv6BUjrAg42ZMmH67msVL/view
10016.

136 and 225 by Euclids division algorithm

Answer» 225=136×1+89136=89×1+4789=47×1+4247=42×1+542=5×8+25=2×2 +12=1×2+0 So the HCF is 1
10017.

The graph of the equation x minus y + 1 is equal to zero and x

Answer»
10018.

Does Euclid\'s Division Lemma will be deleted for the exam 2022?

Answer» No
Nooo..CBSE has not informed about any deducted syllabus for this session
10019.

Please send me maths rd sharma pdf

Answer» 1 chapter
1 chapter
Of which chapter
10020.

Probability of an event E + probability of the event `not E ` =

Answer» 1
1
1
10021.

m-7=3

Answer» M-7=3 M=3+7=10
M=3+7=10
10022.

√x-5 -√x-8 =√2x-17 factorise this equation

Answer»
10023.

If A=2n+13,B=n+7 where n is a natural number , HCF of A and B

Answer» Given A = 2n + 13 and B = n + 7 and since n is a natural number A > B.A = 2(n + 7) - 1A = 2B - 1On dividing throughout with B,A/B = 2 - (1/B)B is always an integer => 1/B can never be an integer => A/B also can\'t be an integerSince A/B is not an integer we can conclude that\xa0A and B cannot have any integer in common. Therefore HCF of A and B is 1.
10024.

Find the number of terms in the finite AP 3,6,9....111.

Answer» So, first term = a = 3Common difference = d = 3Last term = Tn = 111Let number of terms be n.Now, Tn = a + (n-1)dSo, 111 = 3 + (n-1)×3So, 108 = 3×(n-1)So, 108/3 = n-1So, n-1 = 36So, n = 37Thus, number if terms is 37.
10025.

In a trapezium ABCD ,diagonals intersect at o .If OA =3x-19, OB=x-3,OC=x-5,OD=3, find x

Answer»
10026.

In given AP a = 7 ,a13=35 find d and S13

Answer» d = 7/3S13 = 273
10027.

0.2x+0.3y=1.3;0.4x+0.5y=2.3 Find it by substitution method

Answer» Y=3 and X=2
10028.

x²-4x-1=0

Answer» x2−4x+1=0(x−2)2−4+1=0(x−2)2=3(x−2)=+3\u200bor−3\u200bx=2+3\u200borx=2−3\u200b
10029.

6 √x/x+4-2√x+4/x=11

Answer»
10030.

Wht is composite number?

Answer» A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
10031.

Use Euclids division algorithm,find HCF of 1266 and 7344

Answer»
10032.

Find the zeros of the polynomial f(x)=x²-√2x-3/2

Answer»
10033.

Find the zeros of the polynomial f(x) x²+4x/3-32/9

Answer»
10034.

Find HCF and division 652 and 375

Answer» Using Euclid\'s division lemma 652= 375 multiply by 1+227375= 277 multiply by 1+98277= 98 multiply by 2+8198= 81 multiply by 1+1781= 17 multiply by 5+617= 6 multiply by 2+56= 5 multiply by 1+15= 1 multiply by 5+0So HCF=1HOPE THE ANSWER IS CORRECT
10035.

Euclid s theoram

Answer» a=bq+r (0195 by 38220
10036.

If zeros of x^2-kx+6 are in the ratio 3:2 find k

Answer» 2ײ+k×+3=0
10037.

Formula of Euclid\'s algorithm

Answer» a = bq+r ,where 0_a=bq+r (Euclid\'s equation)Where, 0<=rA=bq+r, 0a=bq+r where 0
a=bq+r where 0
10038.

If ?, ? and ? are the zeroes of the polynomial ?(?) = ?3 − ??2 + ?? − ?, then find 1?? +1?? +1??.

Answer» q
10039.

4x²+x-5=0 solve this quadratic equation by completing the square method

Answer»
10040.

6{x^2+(1/x^2)} -25{x-(1/x)} +12 = 0Find the value of x.

Answer»
10041.

Find the roots of the equation x+3/x+2=3x-7/2x-3

Answer» (x+1)(x-5)
10042.

Find the sum of m terms of an A.P, a-3d, a-2d, a-d ,a, a+d ,a+2d +......

Answer»
10043.

3x-4y=7 by substitution

Answer» 3x-4y=7_eq1x=7+4y/3_eq2Put value of x in eq 1You get y=0Put value of y in eq 1x=7/3
The second equation please
Plz type the whole question
10044.

3x=7+4y

Answer»
10045.

(sin 30° + cos 30°)-(sin 60°+ cos 60°)

Answer» 0
Answer will be 0.
Sorry it\'s 1
2
10046.

4-5✓3

Answer» 4-5√3= a/b-5√3= a/b-4√3=4/5-a/bRHS is not equal to LHSHENCE IT IS AN IRRATIONAL NUMBER.
10047.

Sin 30 degree + cos 30 degree minus sin 60 degree + cos 60 degree

Answer» 1
10048.

Real number exercise 1.1

Answer»
10049.

If 2sinΦ/(1+cosΦ+sinΦ) = X then find the value of 1-cosΦ+sinΦ/(1+sinΦ)

Answer»
10050.

What is the relation between zeros and coefficient of biquadratic polynomial

Answer»
Consider quadratic polynomialP(x) = 2x2\xa0– 16x + 30.Now, 2x2\xa0– 16x + 30 = (2x – 6) (x – 3)= 2 (x – 3) (x – 5)The zeros of P(x) are 3 and 5.Sum of the zeros\xa0= 3 + 5 = 8 =\xa0−(−16)2\xa0=\xa0-[coefficient of xcoefficient of\xa0x2]Product of the zeros\xa0= 3 × 5 = 15 =\xa0302\xa0=\xa0[constant term\xa0coefficient of\xa0x2]So if ax2\xa0+ bx + c, a ≠\xa00 is a quadratic polynomial and α, β\xa0are two zeros of polynomial thenα+β=−baαβ=caIn general, it can be proved that if α, β, γ\xa0are the zeros of a cubic polynomial ax3\xa0+ bx2\xa0+ cx + d, thenα+β+γ=−baαβ+βγ+γα=caαβγ=−daNote: ba,\xa0ca\xa0and\xa0da are meaningful because a ≠\xa00.

Like in 3x^2 + 5In this 3 is a coefficient
Zeroes are number like a and b. Coefficient are numbers side the x and y. ?