Theory of Equations One Mark Questions

12th Standard EM

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
    5 x 1 = 5
  1. A zero of x3 + 64 is

    (a)

    0

    (b)

    4

    (c)

    4i

    (d)

    -4

  2. If f and g are polynomials of degrees m and n respectively, and if h(x) =(f 0 g)(x), then the degree of h is

    (a)

    mn

    (b)

    m+n

    (c)

    mn

    (d)

    nm

  3. A polynomial equation in x of degree n always has

    (a)

    n distinct roots

    (b)

    n real roots

    (c)

    n imaginary roots

    (d)

    at most one root

  4. If a, b, c ∈ Q and p +√q (p,q ∈ Q) is an irrational root of ax2+bx+c=0 then the other root is

    (a)

    -p+√q

    (b)

    p-iq

    (c)

    p-√q

    (d)

    -p-√q

  5. 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=\(\frac{-c}{a}\)

  6. 5 x 1 = 5
  7. 6x6 - 35x5 + 56x4 -56x2 + 35x - 6 = 0

  8. (1)

    Reciprocal equation of type I

  9. p(x)=xn.p\(\left( \frac { 1 }{ x } \right) \)

  10. (2)

    at least 6 imaginary roots

  11. 2x7-3x6-4x5+5x4+6x3-7x+8 = 0

  12. (3)

    4 Change of sign

  13. 9x9+2x5-x4-7x2+2=0

  14. (4)

    4 Change of sign

  15. x9-5x8 -14x7=0

  16. (5)

    even degree reciprocal equation of type II

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