The roots of the quadratic equation 3x² - px + q = 0 are 10^(th) and 11^(th) terms of an arithmetic progression with common difference 3/2. If the sum of the first 11 terms of this arithmetic progression is 88, then q - 2p is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q247

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

The roots of the quadratic equation

3x^2 - px + q = 0

are

10^{\text{th}}

and

11^{\text{th}}

terms of an arithmetic progression with common difference

\frac{3}{2}

. If the sum of the first 11 terms of this arithmetic progression is 88, then

q - 2p

is equal to:

Your answerInteger or decimal