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Quadratic Equation and Inequalities question

2019 · 10 Apr · Shift 1 · Q28
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  5. /2019 · 10 Apr · Shift 1 · Q28

Quadratic Equation and Inequalities question

2019 · 10 Apr · Shift 1 · Q28

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
If α\alphaα and β\betaβ are the roots of the quadratic equation, x2 + x sin θ\thetaθ- 2 sin θ\thetaθ= 0, θ∈(0,π2)\theta \in \left( {0,{\pi \over 2}} \right)θ∈(0,2π​), then α12+β12(α−12+β−12).(α−β)24{{{\alpha ^{12}} + {\beta ^{12}}} \over {\left( {{\alpha ^{ - 12}} + {\beta ^{ - 12}}} \right).{{\left( {\alpha - \beta } \right)}^{24}}}}(α−12+β−12).(α−β)24α12+β12​ is equal to :
  1. A
    212(sin⁡θ−8)6{{{2^{12}}} \over {{{\left( {\sin \theta - 8} \right)}^6}}}(sinθ−8)6212​
  2. B
    26(sin⁡θ+4)12{{{2^6}} \over {{{\left( {\sin \theta + 4} \right)}^{12}}}}(sinθ+4)1226​
  3. C
    212(sin⁡θ+8)12{{{2^{12}}} \over {{{\left( {\sin \theta + 8} \right)}^{12}}}}(sinθ+8)12212​
  4. D
    212(sin⁡θ−4)12{{{2^{12}}} \over {{{\left( {\sin \theta - 4} \right)}^{12}}}}(sinθ−4)12212​
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