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12th Standard English Medium Maths Subject Theory of Equations Book Back 3 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 30

    3 Marks

    10 x 3 = 30
  1. Solve the equation 2x3+11x2−9x−18 = 0.

  2. Find the condition that the roots of ax3+ bx2+ cx + d = 0 are in geometric progression. Assume a, b, c, d ≠ 0.

  3. Solve the equation 3x3-26x2+52x - 24 = 0 if its roots form a geometric progression.

  4. Solve the equation
    2x- 9x+ 10x = 3

  5. Find all real numbers satisfying 4x- 3(2x+2) + 2= 0

  6. If α, β and γ are the roots of the cubic equation x3+ 2x2+ 3x + 4 = 0, form a cubic equation whose roots are \(\frac { 1 }{ \alpha } ,\frac { 1 }{ \beta } ,\frac { 1 }{ \gamma } \)

  7. If α, β and γ are the roots of the cubic equation x3+ 2x2+ 3x + 4 = 0, form a cubic equation whose roots are −α, -β, -γ

  8. Solve the cubic equations: 8x- 2x- 7x + 3 = 0

  9. Solve the following equations,
    12x3+ 8x = 29x2- 4

  10. Solve the equations
    x4+ 3x3- 3x - 1 = 0

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