Q63.If the set R = {(a, b) : a + 5b = 42, a, b ∈N} has m elements and ∑mn=1 (1 −in!) = x + iy, where i = √−1 , then the value of m + x + y is (1) 12 (2) 4 (3) 8 (4) 5
What This Question Tests
This problem combines finding the number of elements in a set defined by a linear Diophantine equation with calculating the sum of a complex series involving powers of 'i'.
Concepts Tested
Formulas Used
i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1
Sum of terms in a series
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Set definition and summation of complex series
- Year
- 2024
- Shift
- 08 Apr Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations and Functions
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