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11th Standard English Medium Maths Subject Basic Algebra Book Back 5 Mark Questions with Solution Part - II

11th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50

    5 Marks

    10 x 5 = 50
  1. Resolve the following rational expressions into partial fractions.
    \({{x^2+x+1}\over{x^2-5x+6}}\)

  2. Determine the region in the plane determined by the inequalities.
    \(2x+3y\le 6,\ x+4y\le 4,\ x\ge 0,\ y\ge 0.\)

  3. Determine the region in the plane determined by the inequalities.
    \(x-2y\ge 0,\ 2x-y\le -2,\ x\ge 0,\ y\ge 0.\)

  4. Resolve the following rational expressions into partial fractions.
    \({{x+12}\over{(x+1)^{2}(x-2)}}\)

  5. Resolve the following rational expressions into partial fractions.
    \({{7+x}\over{(1+x)(1+x^2)}}\)

  6. Find the condition that one of the roots of ax2+bx+c may be reciprocal of the other.

  7. Find a quadratic polynomial f(x) such that, f(0) = 1; f(-2) = 0 and f(1) = 0.

  8. Construct a cubic polynomial function with rational coefficients having zeros at x = \(\frac{2}{5},1+\sqrt{3}\) such that f(0)=-8

  9. Use the method of undetermined coefficients to find the sum of 1 + 2 + 3 +....+ (n - 1) + n, n ∈ N

  10. Find the square root of 7-4\(\sqrt{3}\)

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