Q53.Let a1, a2, a3, … , be a G. P. such that a1 < 0, a1 + a2 = 4 and a3 + a4 = 16. If ∑9i=1 ai = 4λ, then λ, is equal to. (1) −513 (2) −171 (3) 171 (4) 5113
What This Question Tests
This question involves determining a condition for a complex fraction to be real, finding the value of tan(theta), and then calculating the argument of another complex number based on this angle.
Concepts Tested
Formulas Used
Im(z) = 0 for z to be real
Argument of z = x + iy is tan⁻¹(y/x)
📚 NCERT Sections This Tests
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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.
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8.17 Complete each synthesis by giving missing starting material, reagent or products
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Argument of a complex number
- Year
- 2020
- Shift
- 07 Jan Shift 2
- Q Number
- Q53
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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