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Quadratic Equation and Inequalities question

2017 · Shift 2 · Q35
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  2. /JEE Advanced
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  4. /Quadratic Equation and Inequalities
  5. /2017 · Shift 2 · Q35

Quadratic Equation and Inequalities question

2017 · Shift 2 · Q35

JEE AdvancedMathematicsQuadratic Equation and InequalitiesMCQ+3 / −1
Let p, q be integers and let α\alphaα, β\betaβ be the roots of the equation, x2 −-− x −-− 1 = 0 where αeβ\alpha e \betaαeβ. For n = 0, 1, 2, ........, let an = p α\alphaα n + q β\betaβ n. FACT : If a and b are rational numbers and a + b 5\sqrt 55​ = 0, then a = 0 = b.a12 = ?
  1. A
    a11 + 2a10
  2. B
    2a11 + a10
  3. C
    a11 −-− a10
  4. D
    a11 + a10
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