Q66.If nC4, nC5 and nC6 are in A.P., then n can be (1) 9 (2) 14 (3) 12 (4) 11
What This Question Tests
This question requires applying the property of binomial coefficients and the condition for three terms to be in an Arithmetic Progression, followed by careful algebraic simplification.
Concepts Tested
Formulas Used
nCr = n! / (r! * (n-r)!)
2b = a + c (for A.P.)
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Properties of binomial coefficients in AP
- Year
- 2019
- Shift
- 12 Jan Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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