Q64.Let ๐ and ๐ be the coefficients of seventh and thirteenth terms respectively in the expansion of 3 + 2 3๐ฅ 2๐ฅ 3 1 . Then ๐ 3 is: ๐ (1) 4 (2) 1 9 9 1 9 (3) (4) 4 4
What This Question Tests
This question requires applying the binomial theorem to find the coefficients of specified terms in an expansion and then calculating the ratio of these coefficients.
Concepts Tested
Formulas Used
Tr+1 = nCr * a^(n-r) * b^r
๐ NCERT Sections This Tests
12.7 โ The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 ยท Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3ร10โ11 m. What are the radii of the n = 2 and n =3 orbits?
5.23 โ Give The Oxidation State, D Orbital Occupation And Coordination Number Of
Chemistry Class 11 ยท Chapter 5
5.23 Give the oxidation state, d orbital occupation and coordination number of the central metal ion in the following complexes: (i) K3[Co(C2O4)3] (iii) (NH4)2[CoF4] (ii) cis-[CrCl2(en)2]Cl (iv) [Mn(H2O)6]SO4
13.2 โ Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 ยท Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- General term in binomial expansion
- Year
- 2024
- Shift
- 01 Feb Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
More from this Chapter
Q89.In the binomial expansion of (a โb)n, n โฅ5 , the sum of 5th and 6th terms is zero, then ab equals (1) 5 (2) 6 nโ4 nโ5 (3) nโ5 (4) nโ4 6 5
Q90.The sum of the series 20C0 โ20C1 + 20C2 โ20C3 + โฆ โโฆ + 20C10 is (1) โ20C10 (2) 12 20C10 (3) 0 (4) 20C10
Q77.Statement-1: โnr=0(r + 1)nCr = (n + 2)2nโ1 Statement -2: โnr=0(r + 1)nCrxr = (1 + x)n + nx(1 + x)nโ1 . JEE Main 2008 JEE Main Previous Year Paper (1) Statement โ1 is false, Statement โ2 is true (2) Statement โ1 is true, Statement โ2 is true, Statement โ2 is a correct explanation for Statement โ1 (3) Statement โ1 is true, Statement โ2 is true; (4) Statement โ1 is true, Statement โ2 is false. Statement โ2 is not a correct explanation for Statement โ1.
Q65.The remainder left out when 82n โ(62)2n+1 is divided by 9 is (1) 0 (2) 2 (3) 7 (4) 8