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Quadratic Equation and Inequalities question

2022 · 25 Jun · Shift 2 · Q24
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  5. /2022 · 25 Jun · Shift 2 · Q24

Quadratic Equation and Inequalities question

2022 · 25 Jun · Shift 2 · Q24

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Let a, b ∈\in∈ R be such that the equation ax2−2bx+15=0a{x^2} - 2bx + 15 = 0ax2−2bx+15=0 has a repeated root α\alphaα. If α\alphaα and β\betaβ are the roots of the equation x2−2bx+21=0{x^2} - 2bx + 21 = 0x2−2bx+21=0, then α2+β2{\alpha ^2} + {\beta ^2}α2+β2 is equal to :
  1. A
    37
  2. B
    58
  3. C
    68
  4. D
    92
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