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Equations and I...

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  • Question 1
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    What is the sum of the squares of roots of x2 – 3x + 1 = 0?

  • Question 2
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  • Question 3
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    Product of real roots of the equation t2x2 + |x| + 9 = 0

  • Question 4
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    If x be real, the latest value of x2 – 6x + 10 is

  • Question 5
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    If sin α and cos α are the roots of the equation pχ2 + qχ + r = 0, then

  • Question 6
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    In ∆ PQR, ∠R = π/2. If tan (P/2) and tan (Q/2) are the roots of aχ2 + bχ + c = 0 , a ≠ 0, then

  • Question 7
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    Let α and β be real and z be a complex number. If z2 + αz + β = 0 has two distinct roots on the line Re(z) = 1, then it is necessary that

  • Question 8
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    If (χ - 1)(χ2 - 5χ + 7) < (χ - 1), then χ belongs to

  • Question 9
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    The greatest value of x + y + z for possible values of x, y, z such that x3 + y3 + z3 = 1 is

  • Question 10
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    The least value of a + b + c + d + e + f + g + h for possible values of a, b, c, d,e, f, g, and h satisfying the condition a2/3 + b2/3 + c2/3 + d2/3 + e2/3 + f2/3 + g2/3 + h2/3 = 4 is

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