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MathsMediumMCQ2019 · 09 Jan Shift 1

Q64.If 𝑎, 𝑏 and 𝑐 be three distinct real numbers in G.P. and 𝑎+ 𝑏+ 𝑐= 𝑥𝑏, then 𝑥 cannot be: (1) -3 (2) 2 (3) 4 (4) -2

What This Question Tests

The question requires using the properties of a geometric progression to form a quadratic equation in the common ratio 'r', and then applying conditions for distinct real roots to find the valid range for 'x'.

Concepts Tested

Geometric Progression definitionDistinct real numbers conditionQuadratic equation real roots

Formulas Used

b² = ac

a_n = ar^(n-1)

Discriminant D = b² - 4ac for real roots

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📋 Question Details

Chapter: Sequences & Series
Topic: Geometric Progression properties
Year: 2019
Shift: 09 Jan Shift 1
Q Number: Q64
Type: MCQ
NCERT Ref: Class 11 Mathematics Ch 9: Sequences and Series

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