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Quadratic Equation and Inequalities question

2025 · 29 Jan · Shift 2 · Q32

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2025 · 29 Jan · Shift 2 · Q32

Quadratic Equation and Inequalities question

2025 · 29 Jan · Shift 2 · Q32

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

If the set of all

a \in \mathbf{R}

, for which the equation

2 x^2+(a-5) x+15=3 a

has no real root, is the interval (

\alpha, \beta

), and

X=|x \in Z ; \alpha \lt x \lt \beta|

, then

\sum\limits_{x \in X} x^2

is equal to:

A
2139
B
2119
C
2109
D
2129

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