Q5. For some n ≠10, let the coefficients of the 5 th, 6 th and 7 th terms in the binomial expansion of (1 + x)n+4 be in A.P. Then the largest coefficient in the expansion of (1 + x)n+4 is: (1) 20 (2) 10 (3) 35 (4) 70
What This Question Tests
This question requires applying the condition for a system of linear equations to have infinitely many solutions, involving the determinant of the coefficient matrix and other related determinants.
Concepts Tested
Formulas Used
For infinitely many solutions, Det(A)=0 and Det(A_x)=Det(A_y)=Det(A_z)=0
📚 NCERT Sections This Tests
5.18 — What Is Crystal Field Splitting Energy? How Does The Magnitude Of Do Decide
Chemistry Class 11 · Chapter 5
5.18 What is crystal field splitting energy? How does the magnitude of Do decide the actual configuration of d orbitals in a coordination entity?
5.28 — How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 · Chapter 5
5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Matrices & Determinants
- Topic
- System of linear equations
- Year
- 2025
- Shift
- 24 Jan Shift 1
- Q Number
- Q5
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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