Q84.Let ๐ผ> 0, be the smallest number such that the expansion of ๐ฅ 3 + 2 has a term ๐ฝ๐ฅ-๐ผ, ๐ฝโ๐. Then ๐ผ is ๐ฅ3 equal to _____ .
What This Question Tests
This question tests the ability to find the general term in a binomial expansion and then determine the exponent of x. The smallest positive integer ฮฑ is found by equating the exponent of x to a negative multiple of 3.
Concepts Tested
Formulas Used
T_{r+1} = nCr * a^(n-r) * b^r
๐ NCERT Sections This Tests
1.3 โ Define The Following Terms:
Chemistry Class 11 ยท Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
14.2 โ Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 ยท Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- General term of binomial expansion
- Year
- 2023
- Shift
- 31 Jan Shift 1
- Q Number
- Q84
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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Q90.The sum of the series 20C0 โ20C1 + 20C2 โ20C3 + โฆ โโฆ + 20C10 is (1) โ20C10 (2) 12 20C10 (3) 0 (4) 20C10
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