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JEE Main20208 Jan 2020Morning ShiftMathematicsQuadratic EquationActual

The least positive value of ‘ a ’ for which the equation, 2 x 2 + a - 10 x + 33 2 = 2 a has real roots is ___________.

Correct answer

0

Step-by-step solution

D ≥ 0 a - 10 2 - 4 2 33 2 - 2 a ≥ 0 a - 10 2 - 4 33 - 4 a ≥ 0 a 2 - 4 a - 32 ≥ 0 ⇒ a ∈ - ∞ , - 4 ∪ 8 , ∞

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