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12th Standard English Medium Maths Subject Theory of Equations Creative 1 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1. The quadratic equation whose roots are ∝ and β is ___________

    (a)

    (x - ∝)(x -β) = 0

    (b)

    (x - ∝)(x + β) = 0

    (c)

    ∝ + β = \(\frac{b}{a}\)

    (d)

    ∝ β = \(\frac{-c}{a}\)

  2. The equation \(\sqrt { x+1 } -\sqrt { x-1 } =\sqrt { 4x-1 } \) has ____________

    (a)

    no solution

    (b)

    one solution

    (c)

    two solution

    (d)

    more than one solution

  3. For real x, the equation \(\left| \frac { x }{ x-1 } \right| +|x|=\frac { { x }^{ 2 } }{ |x-1| } \) has ________

    (a)

    one solution

    (b)

    two solution

    (c)

    at least two solution

    (d)

    no solution

  4. If \((2+\sqrt{3})^{x^{2}-2 x+1}+(2-\sqrt{3})^{x^{2}-2 x-1}=\frac{2}{2-\sqrt{3}}\) then x = _________

    (a)

    0, 2

    (b)

    0, 1

    (c)

    0, 3

    (d)

    0, √3

  5. If ∝, β, ૪ are the roots of 9x3-7x+6 = 0, then ∝ β ૪ is __________

    (a)

    \(\frac{-7}{9}\)

    (b)

    \(\frac{7}{9}\)

    (c)

    0

    (d)

    \(\frac{-2}{3}\)

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