Q22.The roots of the quadratic equation 3x2 −px + q = 0 are 10th and 11th terms of an arithmetic progression with common difference 32 . If the sum of the first 11 terms of this arithmetic progression is 88 , then q −2p is equal to -.
What This Question Tests
This question tests the ability to relate roots of a quadratic equation to terms of an arithmetic progression and use properties of AP and quadratic equations to find the required value.
Concepts Tested
Formulas Used
ax^2 + bx + c = 0 => sum of roots = -b/a, product of roots = c/a
an = a + (n-1)d
Sn = n/2 * (2a + (n-1)d)
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📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of a quadratic equation
- Year
- 2025
- Shift
- 23 Jan Shift 2
- Q Number
- Q22
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations; Class 11 Mathematics Ch 9: Sequences and Series
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