Q84.If the co-efficient of x7 and x8 in the expansion of (2 + x3 ) n are equal, then the value of x ≠2 , and f(x) = 7, x = 2 where P(x) is a polynomial such that
What This Question Tests
This question tests the ability to find the general term in a binomial expansion and equate the coefficients of specific powers of x to solve for an unknown variable 'n'. The latter part of the question text is an artifact and should be ignored.
Concepts Tested
Formulas Used
Tr+1 = nCr * a^(n-r) * b^r
nCr / nC(r-1) = (n-r+1)/r
📚 NCERT Sections This Tests
8.2 — Name The Following Compounds According To Iupac System Of Nomenclature:
Chemistry Class 12 · Chapter 8
8.2 Name the following compounds according to IUPAC system of nomenclature: (i) CH3CH(CH3)CH2CH2CHO (ii) CH3CH2COCH(C2H5)CH2CH2Cl (iii) CH3CH=CHCHO (iv) CH3COCH2COCH3 (v) CH3CH(CH3)CH2C(CH3)2COCH3 (vi) (CH3)3CCH2COOH (vii) OHCC6H4CHO-p
5.15 — Discuss The Nature Of Bonding In The Following Coordination Entities On The
Chemistry Class 11 · Chapter 5
5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4– (ii) [FeF6] 3– (iii) [Co(C2O4)3]3– (iv) [CoF6] 3–
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficients in binomial expansion
- Year
- 2021
- Shift
- 25 Jul Shift 2
- Q Number
- Q84
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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