Home
Class 12
MATHS
Facorise the following: 10ab+4a+5b+2....

Facorise the following: `10ab+4a+5b+2`.

Text Solution

Verified by Experts

The correct Answer is:
3
a. If `T_(r+1)` is greatest , then `(n)/(1+|a/(bx)|) le r le (n+1)/(1+|a/(bx)|)`
For `x = 1` and `r = 11, (n)/(1+3/5) le 11 le (n+1)/(1+3/5)`
`rArr 5n le 88 le 5(n+1)`
`rArr n = 17`
(b) if `T(r+1)` is greatest ,then `((r)/(n-r+1)) a/b le x le ((r+1)/(n-r)) a/b`
For `n = 25` and `r = 20, 2 lt x lt 63/25`
c. We have `(T_(r+1))/(T_(r)) = (n-r+1)/(r). (bx)/(a)` for `(a+bx)^(n)`
For `n = 20` and `r = 10, (11)/(10).(5x)/(3) = 1` or ` x= 6//11`
d. we have
`(n)/(1+|(a)/(bx)|) le r le (n+1)/(1+|a/(bx)|)` for `(a+bx)^(n)`.
For `x = 2` and `r = 8` (as `T(9)` will be largest).
`(n)/(1+|a/(bx)|) le 8 le (n+1)/(1+3/10)`
`rArr 10n le 104 le 10(n+1)`
`rArr n = 10`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Numerical|25 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Archives|16 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Linked Comphrension|20 Videos

  • AREA

    CENGAGE PUBLICATION|Exercise Comprehension Type|2 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise For problems 3 and 4|2 Videos

Similar Questions

Explore conceptually related problems

Factorise the following. ab-5b + a - 5

Factorise the following. 6a^2b + 8ab^2

Factorize the following |[3,a+b+c,a^3+b^3+c^3],[a+b+c,a^2+b^2+c^2,a^4+b^4+c^4],[a^2+b^2+c^2,a^3+b^3+c^3,a^5+b^5+c^5]|

Let's find the product of the following:- 2a^2b, 3ab^2

Let A=[(2,4),(3,2)], B=[(1,3),(-2,5)], C=[(-2,5),(3,4)] Find each of the following: (i) A+B (ii) A-B (iii) 3A-C (iv) AB (v) BA

Write the following in logarithmic form. 10 = 5^b

Using formula, let's solve each of the following problems- If a^2 + b^2 = 5ab , let's show that frac(a^2)(b^2) + frac(b^2)(a^2) = 23

Simplify the following: 6a-2b-ab-(3a+b-ab)+2ab-b+a

answer the following : (ii) prove that, |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]| =- (a^3+b^3)^2

Test whether the following matrices A and B are conformable for A + B, AB and BA and find their values when they are conformable : A={:((1,2),(0,1))and B={:((1,0),(0,1)):} A={:[(2,3),(5,6),(7,8)]:}and B={:[(3,8,5),(2,1,1),(1,3,3)]:}

Home
Profile